Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials

Recent advances in additive manufacturing facilitated the fabrication of parts with great geometrical complexity and relatively small size, and allowed for the fabrication of topologies that could not have been achieved using traditional fabrication techniques. In this work, we explore the topology-...

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Published inAdditive manufacturing Vol. 19; pp. 167 - 183
Main Authors Al-Ketan, Oraib, Rowshan, Reza, Abu Al-Rub, Rashid K.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2018
Subjects
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ISSN2214-8604
2214-7810
DOI10.1016/j.addma.2017.12.006

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Abstract Recent advances in additive manufacturing facilitated the fabrication of parts with great geometrical complexity and relatively small size, and allowed for the fabrication of topologies that could not have been achieved using traditional fabrication techniques. In this work, we explore the topology-property relationship of several classes of periodic cellular materials; the first class is strut-based structures, while the second and third classes are derived from the mathematically created triply periodic minimal surfaces, namely; the skeletal-TPMS and sheet-TPMS cellular structures. Powder bed fusion technology was employed to fabricate the cellular structures of various relative densities out of Maraging steel. Scanning electron microscope (SEM) was also employed to assess the quality of the printed parts. Compressive testing was performed to deduce the mechanical properties of the considered cellular structures. Results showed that the sheet-TPMS based cellular structures exhibited a near stretching-dominated deformation behavior, while skeletal-TPMS showed a bending-dominated behavior. On the other hand, the Kelvin and Gibson-Ashby strut-based topologies exhibited a mixed mode of deformation while the Octet-truss showed a stretching-dominated behavior. Overall the sheet-TPMS based cellular structures showed superior mechanical properties among all the tested structures. The most interesting observation is that sheet-based Diamond TPMS structure showed the best mechanical performance with nearly independence of relative density. It was also observed that at decreased volume fractions the effect of geometry on the mechanical properties is more pronounced.
AbstractList Recent advances in additive manufacturing facilitated the fabrication of parts with great geometrical complexity and relatively small size, and allowed for the fabrication of topologies that could not have been achieved using traditional fabrication techniques. In this work, we explore the topology-property relationship of several classes of periodic cellular materials; the first class is strut-based structures, while the second and third classes are derived from the mathematically created triply periodic minimal surfaces, namely; the skeletal-TPMS and sheet-TPMS cellular structures. Powder bed fusion technology was employed to fabricate the cellular structures of various relative densities out of Maraging steel. Scanning electron microscope (SEM) was also employed to assess the quality of the printed parts. Compressive testing was performed to deduce the mechanical properties of the considered cellular structures. Results showed that the sheet-TPMS based cellular structures exhibited a near stretching-dominated deformation behavior, while skeletal-TPMS showed a bending-dominated behavior. On the other hand, the Kelvin and Gibson-Ashby strut-based topologies exhibited a mixed mode of deformation while the Octet-truss showed a stretching-dominated behavior. Overall the sheet-TPMS based cellular structures showed superior mechanical properties among all the tested structures. The most interesting observation is that sheet-based Diamond TPMS structure showed the best mechanical performance with nearly independence of relative density. It was also observed that at decreased volume fractions the effect of geometry on the mechanical properties is more pronounced.
Author Al-Ketan, Oraib
Rowshan, Reza
Abu Al-Rub, Rashid K.
Author_xml – sequence: 1
  givenname: Oraib
  surname: Al-Ketan
  fullname: Al-Ketan, Oraib
  organization: Institute Center for Energy, Mechanical and Materials Engineering Department, Masdar Institute of Science and Technology, Abu Dhabi, UAE
– sequence: 2
  givenname: Reza
  surname: Rowshan
  fullname: Rowshan, Reza
  organization: Core Technology Platforms, New York University Abu Dhabi, Abu Dhabi, UAE
– sequence: 3
  givenname: Rashid K.
  surname: Abu Al-Rub
  fullname: Abu Al-Rub, Rashid K.
  email: rabualrub@masdar.ac.ae
  organization: Institute Center for Energy, Mechanical and Materials Engineering Department, Masdar Institute of Science and Technology, Abu Dhabi, UAE
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Cites_doi 10.1016/j.msec.2014.07.047
10.1016/j.matdes.2017.03.018
10.1016/j.actbio.2013.10.024
10.1016/j.jmbbm.2015.06.012
10.1016/j.mechmat.2003.02.001
10.1016/j.biomaterials.2016.01.012
10.1016/j.actbio.2017.02.024
10.1016/j.biomaterials.2011.06.012
10.1002/adma.200400131
10.1016/S1359-6454(98)00072-X
10.1007/s12541-015-0330-8
10.1016/j.jmps.2017.07.003
10.1016/S1359-6454(97)00421-7
10.1016/j.compscitech.2015.08.021
10.1002/admt.201600235
10.1098/rspa.2003.1269
10.1016/j.matdes.2013.10.027
10.1016/j.ijsolstr.2016.01.011
10.1016/j.ijmecsci.2017.03.017
10.1016/j.jmatprotec.2013.12.004
10.1016/j.actbio.2015.10.048
10.1016/j.actbio.2008.03.013
10.1016/j.compositesa.2016.02.009
10.1002/jbm.b.31219
10.3390/ma8041871
10.1007/BF00266127
10.1016/j.ijsolstr.2014.06.024
10.1016/j.jmbbm.2015.06.024
10.1016/j.addma.2014.12.008
10.1016/j.desal.2017.10.010
10.1103/PhysRevE.72.056319
10.1007/s12541-014-0583-7
10.1016/j.jmbbm.2013.05.011
10.1016/j.ijmecsci.2014.12.004
10.1021/ie0490886
10.1016/j.addma.2017.04.003
10.1016/j.jmbbm.2016.09.018
10.1016/S0022-5096(01)00010-2
10.1016/j.msec.2012.12.092
10.1016/j.ijimpeng.2007.10.005
10.1016/j.mechmat.2016.01.004
10.1002/bit.20368
10.1016/j.biomaterials.2011.07.019
10.1016/S1359-6454(00)00379-7
10.1016/S1359-6454(98)00031-7
10.1016/j.compstruct.2015.06.082
10.1016/j.actbio.2010.09.034
10.1007/s12541-015-0263-2
10.1016/S0079-6425(00)00018-9
10.1016/j.jmbbm.2016.04.041
10.1016/j.ijplas.2017.03.005
10.1002/adma.201504469
10.1016/j.msea.2015.01.063
10.1016/j.msea.2016.05.075
10.1126/science.1252291
10.1002/adma.201501546
10.1016/j.media.2006.06.001
10.1016/j.compstruct.2017.05.026
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Additive manufacturing (AM)
Architected materials
Triply periodic minimal surfaces (TPMS)
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References Yoo (bib0190) 2014; 15
Ha, Vaia, Lynn, Costantino, Shin, Smith, Matsudaira, Thomas (bib0245) 2004; 16
Deshpande, Ashby, Fleck (bib0075) 2001; 49
Ahmadi, Yavari, Wauthle, Pouran, Schrooten, Weinans, Zadpoor (bib0120) 2015; 8
Han, Lee, Kang (bib0310) 2015; 27
Abueidda, Bakir, Abu Al-Rub, Bergström, Sobh, Jasiuk (bib0135) 2017; 122
Yoo (bib0210) 2011; 32
Alsalla, Hao, Smith (bib0260) 2016; 669
Simone, Gibson (bib0055) 1998; 46
Jung, Torquato (bib0175) 2005; 72
Boomsma, Poulikakos, Zwick (bib0040) 2003; 35
Giani, Groppi, Tronconi (bib0035) 2005; 44
Rajagopalan, Robb (bib0220) 2006; 10
Haack, Butcher, Kim, Lu (bib0050) 2001
Freyman, Yannas, Gibson (bib0020) 2001; 46
Kapfer, Hyde, Mecke, Arns, Schröder-Turk (bib0185) 2011; 32
Lee, Khan, Abu Al-Rub (bib0305) 2017; 95
Jain, Pradeep (bib0025) 2005; 90
Giannitelli, Accoto, Trombetta, Rainer (bib0090) 2014; 10
Pattanayak, Fukuda, Matsushita, Takemoto, Fujibayashi, Sasaki, Nishida, Nakamura, Kokubo (bib0015) 2011; 7
Bobbert, Lietaert, Eftekhari, Pouran, Ahmadi, Weinans, Zadpoor (bib0165) 2017; 53
Brandt (bib0080) 2016
Babaee, Viard, Wang, Fang, Bertoldi (bib0240) 2015; 28
Abueidda, Abu Al-Rub, Dalaq, Lee, Khan, Jasiuk (bib0125) 2016; 95
Montillet, Comiti, Legrand (bib0030) 1993; 23
Kadkhodapour, Montazerian, Darabi, Anaraki, Ahmadi, Zadpoor, Schmauder (bib0115) 2015; 50
Abueidda, Abu Al-Rub, Dalaq, Younes, Al Ghaferi, Shah (bib0130) 2015; 118
Mullen, Stamp, Brooks, Jones, Sutcliffe (bib0105) 2009; 89
Liu, Kamm, García-Moreno, Banhart, Pasini (bib0270) 2017; 107
Lu, Stone, Ashby (bib0045) 1998; 46
Sreedhar, Thomas, Al-Ketan, Rowshan, Hernandez, Abu Al-Rub, Arafat (bib0200) 2018; 425
Al‐Ketan, Abu Al‐Rub, Rowshan (bib0150) 2017; 2
I. Jin, L.D., Kenny, H. Sang, Method of producing lightweight foamed metal. Google Patents, 1990.
Arabnejad, Johnston, Pura, Singh, Tanzer, Pasini (bib0110) 2016; 30
Yan, Hao, Hussein, Bubb, Young, Raymont (bib0225) 2014; 214
Wang, Xu, Zhou, Xu, Leary, Choong, Qian, Brandt, Xie (bib0085) 2016; 83
Yoo (bib0195) 2015; 16
Zheng, Lee, Weisgraber, Shusteff, DeOtte, Duoss, Kuntz, Biener, Ge, Jackson (bib0325) 2014; 344
Torquato, Donev (bib0235) 2004; 460
Maskery, Aboulkhair, Aremu, Tuck, Ashcroft (bib0320) 2017; 16
Yan, Hao, Hussein, Young, Huang, Zhu (bib0250) 2015; 628
Dalaq, Abueidda, Abu Al-Rub (bib0170) 2016; 84
McKown, Shen, Brookes, Sutcliffe, Cantwell, Langdon, Nurick, Theobald (bib0100) 2008; 35
Yan, Hao, Hussein, Young, Raymont (bib0230) 2014; 55
Wauthle, Vrancken, Beynaerts, Jorissen, Schrooten, Kruth, Van Humbeeck (bib0275) 2015; 5
Yan, Hao, Hussein, Young (bib0255) 2015; 51
Abueidda, Dalaq, Abu Al-Rub, Younes (bib0145) 2015; 92
Heinl, Müller, Körner, Singer, Müller (bib0010) 2008; 4
Abu Al-Rub (bib0290) 2017
Kadkhodapour, Montazerian, Darabi, Zargarian, Schmauder (bib0285) 2016; 70
Deshpande, Fleck, Ashby (bib0095) 2001; 49
Abueidda, Dalaq, Abu Al-Rub, Jasiuk (bib0140) 2015; 133
Simone, Gibson (bib0065) 1998; 46
Yoo, Kim (bib0215) 2015; 16
Al-Ketan, Soliman, AlQubaisi, Abu Al-Rub (bib0160) 2017
Sallica-Leva, Jardini, Fogagnolo (bib0280) 2013; 26
Al-Ketan, Assad, Abu Al-Rub (bib0155) 2017; 176
Dalaq, Abueidda, Abu Al-Rub, Jasiuk (bib0295) 2016; 83
Khan, Abu Al-Rub (bib0300) 2017; 126
Khaderi, Deshpande, Fleck (bib0070) 2014; 51
Gibson, Ashby (bib0005) 1999
Kadkhodapour, Montazerian, Raeisi (bib0180) 2014; 43
Al‐Ketan, Abu Al‐Rub (bib0315) 2016
Yoo (bib0205) 2013; 33
Bagheri, Melancon, Liu, Johnston, Pasini (bib0265) 2017; 70
Abueidda (10.1016/j.addma.2017.12.006_bib0135) 2017; 122
Bobbert (10.1016/j.addma.2017.12.006_bib0165) 2017; 53
Wauthle (10.1016/j.addma.2017.12.006_bib0275) 2015; 5
Ha (10.1016/j.addma.2017.12.006_bib0245) 2004; 16
Dalaq (10.1016/j.addma.2017.12.006_bib0170) 2016; 84
Abu Al-Rub (10.1016/j.addma.2017.12.006_bib0290) 2017
Kadkhodapour (10.1016/j.addma.2017.12.006_bib0115) 2015; 50
Deshpande (10.1016/j.addma.2017.12.006_bib0075) 2001; 49
Al-Ketan (10.1016/j.addma.2017.12.006_bib0160) 2017
Yan (10.1016/j.addma.2017.12.006_bib0230) 2014; 55
Zheng (10.1016/j.addma.2017.12.006_bib0325) 2014; 344
Al‐Ketan (10.1016/j.addma.2017.12.006_bib0150) 2017; 2
Maskery (10.1016/j.addma.2017.12.006_bib0320) 2017; 16
Wang (10.1016/j.addma.2017.12.006_bib0085) 2016; 83
Pattanayak (10.1016/j.addma.2017.12.006_bib0015) 2011; 7
10.1016/j.addma.2017.12.006_bib0060
Dalaq (10.1016/j.addma.2017.12.006_bib0295) 2016; 83
Boomsma (10.1016/j.addma.2017.12.006_bib0040) 2003; 35
Yoo (10.1016/j.addma.2017.12.006_bib0190) 2014; 15
Bagheri (10.1016/j.addma.2017.12.006_bib0265) 2017; 70
Han (10.1016/j.addma.2017.12.006_bib0310) 2015; 27
Haack (10.1016/j.addma.2017.12.006_bib0050) 2001
Simone (10.1016/j.addma.2017.12.006_bib0055) 1998; 46
Khan (10.1016/j.addma.2017.12.006_bib0300) 2017; 126
Abueidda (10.1016/j.addma.2017.12.006_bib0125) 2016; 95
Abueidda (10.1016/j.addma.2017.12.006_bib0145) 2015; 92
Kadkhodapour (10.1016/j.addma.2017.12.006_bib0180) 2014; 43
Torquato (10.1016/j.addma.2017.12.006_bib0235) 2004; 460
Simone (10.1016/j.addma.2017.12.006_bib0065) 1998; 46
Lu (10.1016/j.addma.2017.12.006_bib0045) 1998; 46
Yoo (10.1016/j.addma.2017.12.006_bib0210) 2011; 32
Abueidda (10.1016/j.addma.2017.12.006_bib0140) 2015; 133
Khaderi (10.1016/j.addma.2017.12.006_bib0070) 2014; 51
Alsalla (10.1016/j.addma.2017.12.006_bib0260) 2016; 669
Kapfer (10.1016/j.addma.2017.12.006_bib0185) 2011; 32
Babaee (10.1016/j.addma.2017.12.006_bib0240) 2015; 28
Montillet (10.1016/j.addma.2017.12.006_bib0030) 1993; 23
Sreedhar (10.1016/j.addma.2017.12.006_bib0200) 2018; 425
Lee (10.1016/j.addma.2017.12.006_bib0305) 2017; 95
Brandt (10.1016/j.addma.2017.12.006_bib0080) 2016
Arabnejad (10.1016/j.addma.2017.12.006_bib0110) 2016; 30
Gibson (10.1016/j.addma.2017.12.006_bib0005) 1999
Yan (10.1016/j.addma.2017.12.006_bib0250) 2015; 628
Al-Ketan (10.1016/j.addma.2017.12.006_bib0155) 2017; 176
Jung (10.1016/j.addma.2017.12.006_bib0175) 2005; 72
Kadkhodapour (10.1016/j.addma.2017.12.006_bib0285) 2016; 70
Rajagopalan (10.1016/j.addma.2017.12.006_bib0220) 2006; 10
Giani (10.1016/j.addma.2017.12.006_bib0035) 2005; 44
Giannitelli (10.1016/j.addma.2017.12.006_bib0090) 2014; 10
Ahmadi (10.1016/j.addma.2017.12.006_bib0120) 2015; 8
Yan (10.1016/j.addma.2017.12.006_bib0225) 2014; 214
Yoo (10.1016/j.addma.2017.12.006_bib0205) 2013; 33
Jain (10.1016/j.addma.2017.12.006_bib0025) 2005; 90
Mullen (10.1016/j.addma.2017.12.006_bib0105) 2009; 89
Abueidda (10.1016/j.addma.2017.12.006_bib0130) 2015; 118
McKown (10.1016/j.addma.2017.12.006_bib0100) 2008; 35
Freyman (10.1016/j.addma.2017.12.006_bib0020) 2001; 46
Heinl (10.1016/j.addma.2017.12.006_bib0010) 2008; 4
Deshpande (10.1016/j.addma.2017.12.006_bib0095) 2001; 49
Al‐Ketan (10.1016/j.addma.2017.12.006_bib0315) 2016
Yoo (10.1016/j.addma.2017.12.006_bib0195) 2015; 16
Yoo (10.1016/j.addma.2017.12.006_bib0215) 2015; 16
Liu (10.1016/j.addma.2017.12.006_bib0270) 2017; 107
Sallica-Leva (10.1016/j.addma.2017.12.006_bib0280) 2013; 26
Yan (10.1016/j.addma.2017.12.006_bib0255) 2015; 51
References_xml – start-page: 1700549
  year: 2017
  ident: bib0160
  article-title: Nature-inspired lightweight cellular co-continuous composites with architected periodic gyroidal structures
  publication-title: Adv. Eng. Mater.
– volume: 10
  start-page: 693
  year: 2006
  end-page: 712
  ident: bib0220
  article-title: Schwarz meets Schwann: design and fabrication of biomorphic and durataxic tissue engineering scaffolds
  publication-title: Med. Image Anal.
– volume: 50
  start-page: 180
  year: 2015
  end-page: 191
  ident: bib0115
  article-title: Failure mechanisms of additively manufactured porous biomaterials: effects of porosity and type of unit cell
  publication-title: J. Mech. Behav. Biomed. Mater.
– volume: 10
  start-page: 580
  year: 2014
  end-page: 594
  ident: bib0090
  article-title: Current trends in the design of scaffolds for computer-aided tissue engineering
  publication-title: Acta Biomater.
– volume: 8
  start-page: 1871
  year: 2015
  end-page: 1896
  ident: bib0120
  article-title: Additively manufactured open-cell porous biomaterials made from six different space-filling unit cells: the mechanical and morphological properties
  publication-title: Materials
– volume: 32
  start-page: 6875
  year: 2011
  end-page: 6882
  ident: bib0185
  article-title: Minimal surface scaffold designs for tissue engineering
  publication-title: Biomaterials
– volume: 214
  start-page: 856
  year: 2014
  end-page: 864
  ident: bib0225
  article-title: Evaluation of light-weight AlSi10Mg periodic cellular lattice structures fabricated via direct metal laser sintering
  publication-title: J. Mater. Process. Technol.
– volume: 16
  start-page: 24
  year: 2017
  end-page: 29
  ident: bib0320
  article-title: Compressive failure modes and energy absorption in additively manufactured double gyroid lattices
  publication-title: Addit. Manuf.
– volume: 133
  start-page: 85
  year: 2015
  end-page: 97
  ident: bib0140
  article-title: Micromechanical finite element predictions of a reduced coefficient of thermal expansion for 3D periodic architectured interpenetrating phase composites
  publication-title: Compos. Struct.
– volume: 70
  start-page: 17
  year: 2017
  end-page: 27
  ident: bib0265
  article-title: Compensation strategy to reduce geometry and mechanics mismatches in porous biomaterials built with Selective Laser Melting
  publication-title: J. Mech. Behav. Biomed. Mater.
– volume: 118
  start-page: 127
  year: 2015
  end-page: 134
  ident: bib0130
  article-title: Electrical conductivity of 3D periodic architectured interpenetrating phase composites with carbon nanostructured-epoxy reinforcements
  publication-title: Compos. Sci. Technol.
– volume: 26
  start-page: 98
  year: 2013
  end-page: 108
  ident: bib0280
  article-title: Microstructure and mechanical behavior of porous Ti–6Al–4 V parts obtained by selective laser melting
  publication-title: J. Mech. Behav. Biomed. Mater.
– volume: 176
  start-page: 9
  year: 2017
  end-page: 19
  ident: bib0155
  article-title: Mechanical properties of periodic interpenetrating phase composites with novel architected microstructures
  publication-title: Compos. Struct.
– volume: 44
  start-page: 4993
  year: 2005
  end-page: 5002
  ident: bib0035
  article-title: Mass-transfer characterization of metallic foams as supports for structured catalysts
  publication-title: Ind. Eng. Chem. Res.
– volume: 107
  start-page: 160
  year: 2017
  end-page: 184
  ident: bib0270
  article-title: Elastic and failure response of imperfect three-dimensional metallic lattices: the role of geometric defects induced by selective laser melting
  publication-title: J. Mech. Phys. Solids
– volume: 46
  start-page: 3619
  year: 1998
  end-page: 3635
  ident: bib0045
  article-title: Heat transfer in open-cell metal foams
  publication-title: Acta Mater.
– volume: 90
  start-page: 59
  year: 2005
  end-page: 63
  ident: bib0025
  article-title: Potential of silver nanoparticle-coated polyurethane foam as an antibacterial water filter
  publication-title: Biotechnol. Bioeng.
– volume: 51
  start-page: 61
  year: 2015
  end-page: 73
  ident: bib0255
  article-title: Ti–6Al–4 V triply periodic minimal surface structures for bone implants fabricated via selective laser melting
  publication-title: J. Mech. Behav. Biomed. Mater.
– volume: 628
  start-page: 238
  year: 2015
  end-page: 246
  ident: bib0250
  article-title: Microstructure and mechanical properties of aluminium alloy cellular lattice structures manufactured by direct metal laser sintering
  publication-title: Mater. Sci. Eng.: A
– volume: 70
  start-page: 28
  year: 2016
  end-page: 42
  ident: bib0285
  article-title: The relationships between deformation mechanisms and mechanical properties of additively manufactured porous biomaterials
  publication-title: J. Mech. Behav. Biomed. Mater.
– volume: 89
  start-page: 325
  year: 2009
  end-page: 334
  ident: bib0105
  article-title: Selective laser melting: a regular unit cell approach for the manufacture of porous, titanium, bone in‐growth constructs, suitable for orthopedic applications
  publication-title: J. Biomed. Mater. Res. B Appl. Biomater.
– volume: 84
  start-page: 266
  year: 2016
  end-page: 280
  ident: bib0170
  article-title: Mechanical properties of 3D printed interpenetrating phase composites with novel architectured 3D solid-sheet reinforcements
  publication-title: Comp. Part A: Appl. Sci. Manuf.
– volume: 49
  start-page: 1747
  year: 2001
  end-page: 1769
  ident: bib0095
  article-title: Effective properties of the octet-truss lattice material
  publication-title: J. Mech. Phys. Solids
– volume: 7
  start-page: 1398
  year: 2011
  end-page: 1406
  ident: bib0015
  article-title: Bioactive Ti metal analogous to human cancellous bone: fabrication by selective laser melting and chemical treatments
  publication-title: Acta Biomater.
– year: 2016
  ident: bib0080
  article-title: Laser Additive Manufacturing: Materials, Design, Technologies, and Applications
– volume: 46
  start-page: 273
  year: 2001
  end-page: 282
  ident: bib0020
  article-title: Cellular materials as porous scaffolds for tissue engineering
  publication-title: Prog. Mater. Sci.
– volume: 35
  start-page: 795
  year: 2008
  end-page: 810
  ident: bib0100
  article-title: The quasi-static and blast loading response of lattice structures
  publication-title: Int. J. Impact Eng.
– start-page: 1
  year: 2017
  end-page: 18
  ident: bib0290
  article-title: Thermo-electro-mechanical properties of interpenetrating phase composites with periodic architectured reinforcements
  publication-title: From Creep Damage Mechanics to Homogenization Methods
– volume: 83
  start-page: 169
  year: 2016
  end-page: 182
  ident: bib0295
  article-title: Finite element prediction of effective elastic properties of interpenetrating phase composites with architectured 3D sheet reinforcements
  publication-title: Int. J. Solids Struct.
– volume: 460
  start-page: 1849
  year: 2004
  end-page: 1856
  ident: bib0235
  article-title: Minimal surfaces and multifunctionality
  publication-title: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
– volume: 43
  start-page: 587
  year: 2014
  end-page: 597
  ident: bib0180
  article-title: Investigating internal architecture effect in plastic deformation and failure for TPMS-based scaffolds using simulation methods and experimental procedure
  publication-title: Mater. Sci. Eng. C
– volume: 669
  start-page: 1
  year: 2016
  end-page: 6
  ident: bib0260
  article-title: Fracture toughness and tensile strength of 316L stainless steel cellular lattice structures manufactured using the selective laser melting technique
  publication-title: Mater. Sci. Eng.: A
– volume: 95
  start-page: 1
  year: 2017
  end-page: 20
  ident: bib0305
  article-title: Stiffness and Yield Strength of Architectured Foams Based on the Schwarz Primitive Triply Periodic Minimal Surface
  publication-title: Int. J. Plast.
– volume: 46
  start-page: 2139
  year: 1998
  end-page: 2150
  ident: bib0055
  article-title: Effects of solid distribution on the stiffness and strength of metallic foams
  publication-title: Acta Mater.
– volume: 30
  start-page: 345
  year: 2016
  end-page: 356
  ident: bib0110
  article-title: High-strength porous biomaterials for bone replacement: a strategy to assess the interplay between cell morphology, mechanical properties, bone ingrowth and manufacturing constraints
  publication-title: Acta Biomater.
– volume: 28
  start-page: 1631
  year: 2015
  end-page: 1635
  ident: bib0240
  article-title: Harnessing deformation to switch on and off the propagation of sound
  publication-title: Adv. Mater.
– volume: 425
  start-page: 12
  year: 2018
  end-page: 21
  ident: bib0200
  article-title: 3D printed feed spacers based on triply periodic minimal surfaces for flux enhancement and biofouling mitigation in RO and UF
  publication-title: Desalination
– volume: 27
  start-page: 5506
  year: 2015
  end-page: 5511
  ident: bib0310
  article-title: A new type of low density material: shellular
  publication-title: Adv. Mater.
– volume: 4
  start-page: 1536
  year: 2008
  end-page: 1544
  ident: bib0010
  article-title: Cellular Ti–6Al–4üV structures with interconnected macro porosity for bone implants fabricated by selective electron beam melting
  publication-title: Acta Biomater.
– volume: 344
  start-page: 1373
  year: 2014
  end-page: 1377
  ident: bib0325
  article-title: Ultralight, ultrastiff mechanical metamaterials
  publication-title: Science
– reference: I. Jin, L.D., Kenny, H. Sang, Method of producing lightweight foamed metal. Google Patents, 1990.
– volume: 16
  start-page: 2021
  year: 2015
  end-page: 2032
  ident: bib0215
  article-title: An advanced multi-morphology porous scaffold design method using volumetric distance field and beta growth function
  publication-title: Int. J. Precis. Eng. Manuf.
– volume: 33
  start-page: 1759
  year: 2013
  end-page: 1772
  ident: bib0205
  article-title: New paradigms in hierarchical porous scaffold design for tissue engineering
  publication-title: Mater. Sci. Eng.: C
– year: 2001
  ident: bib0050
  article-title: Novel lightweight metal foam heat exchangers
  publication-title: 2001 ASME Congress Proceedings
– volume: 16
  start-page: 2577
  year: 2015
  end-page: 2589
  ident: bib0195
  article-title: New paradigms in cellular material design and fabrication
  publication-title: Int. J. Precis. Eng. Manuf.
– volume: 83
  start-page: 127
  year: 2016
  end-page: 141
  ident: bib0085
  article-title: Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: a review
  publication-title: Biomaterials
– volume: 2
  start-page: 1600235
  year: 2017
  ident: bib0150
  article-title: Mechanical properties of a new type of architected interpenetrating phase composite materials
  publication-title: Adv. Mater. Technol.
– volume: 35
  start-page: 1161
  year: 2003
  end-page: 1176
  ident: bib0040
  article-title: Metal foams as compact high performance heat exchangers
  publication-title: Mech. Mater.
– volume: 46
  start-page: 3929
  year: 1998
  end-page: 3935
  ident: bib0065
  article-title: The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams
  publication-title: Acta Mater.
– volume: 5
  start-page: 77
  year: 2015
  end-page: 84
  ident: bib0275
  article-title: Effects of build orientation and heat treatment on the microstructure and mechanical properties of selective laser melted Ti6Al4 V lattice structures
  publication-title: Addit. Manuf.
– volume: 72
  start-page: 056319
  year: 2005
  ident: bib0175
  article-title: Fluid permeabilities of triply periodic minimal surfaces
  publication-title: Phys. Rev. E
– volume: 122
  start-page: 255
  year: 2017
  end-page: 267
  ident: bib0135
  article-title: Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures
  publication-title: Mater. Des.
– volume: 53
  start-page: 572
  year: 2017
  end-page: 584
  ident: bib0165
  article-title: Additively manufactured metallic porous biomaterials based on minimal surfaces: a unique combination of topological, mechanical, and mass transport properties
  publication-title: Acta Biomater.
– volume: 23
  start-page: 1045
  year: 1993
  end-page: 1050
  ident: bib0030
  article-title: Application of metallic foams in electrochemical reactors of filter-press type Part I: flow characterization
  publication-title: J. Appl. Electrochem.
– volume: 15
  start-page: 2205
  year: 2014
  end-page: 2217
  ident: bib0190
  article-title: Recent trends and challenges in computer-aided design of additive manufacturing-based biomimetic scaffolds and bioartificial organs
  publication-title: Int. J. Precis. Eng. Manuf.
– volume: 92
  start-page: 80
  year: 2015
  end-page: 89
  ident: bib0145
  article-title: Finite element predictions of effective multifunctional properties of interpenetrating phase composites with novel triply periodic solid shell architectured reinforcements
  publication-title: Int. J. Mech. Sci.
– volume: 126
  start-page: 106
  year: 2017
  end-page: 119
  ident: bib0300
  article-title: Time dependent response of architectured Neovius foams
  publication-title: Int. J. Mech. Sci.
– year: 2016
  ident: bib0315
  article-title: Experimental investigations on the mechanical properties of new type of interpenetrating phase composite based on Schwartz Primitive triply periodic minimal surfaces
  publication-title: ECCM 2016 – Proceeding of the 17th European Conference on Composite Materials
– volume: 95
  start-page: 102
  year: 2016
  end-page: 115
  ident: bib0125
  article-title: Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces
  publication-title: Mech. Mater.
– volume: 55
  start-page: 533
  year: 2014
  end-page: 541
  ident: bib0230
  article-title: Advanced lightweight 316L stainless steel cellular lattice structures fabricated via selective laser melting
  publication-title: Mater. Des.
– volume: 16
  start-page: 1091
  year: 2004
  end-page: 1094
  ident: bib0245
  article-title: Three-dimensional network photonic crystals via cyclic size reduction/infiltration of sea urchin exoskeleton
  publication-title: Adv. Mater.
– volume: 32
  start-page: 7741
  year: 2011
  end-page: 7754
  ident: bib0210
  article-title: Porous scaffold design using the distance field and triply periodic minimal surface models
  publication-title: Biomaterials
– volume: 51
  start-page: 3866
  year: 2014
  end-page: 3877
  ident: bib0070
  article-title: The stiffness and strength of the gyroid lattice
  publication-title: Int. J. Solids Struct.
– year: 1999
  ident: bib0005
  article-title: Cellular Solids: Structure and Properties Cambridge
– volume: 49
  start-page: 1035
  year: 2001
  end-page: 1040
  ident: bib0075
  article-title: Foam topology: bending versus stretching dominated architectures
  publication-title: Acta Mater.
– volume: 43
  start-page: 587
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0180
  article-title: Investigating internal architecture effect in plastic deformation and failure for TPMS-based scaffolds using simulation methods and experimental procedure
  publication-title: Mater. Sci. Eng. C
  doi: 10.1016/j.msec.2014.07.047
– volume: 122
  start-page: 255
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0135
  article-title: Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures
  publication-title: Mater. Des.
  doi: 10.1016/j.matdes.2017.03.018
– volume: 10
  start-page: 580
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0090
  article-title: Current trends in the design of scaffolds for computer-aided tissue engineering
  publication-title: Acta Biomater.
  doi: 10.1016/j.actbio.2013.10.024
– volume: 50
  start-page: 180
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0115
  article-title: Failure mechanisms of additively manufactured porous biomaterials: effects of porosity and type of unit cell
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2015.06.012
– volume: 35
  start-page: 1161
  year: 2003
  ident: 10.1016/j.addma.2017.12.006_bib0040
  article-title: Metal foams as compact high performance heat exchangers
  publication-title: Mech. Mater.
  doi: 10.1016/j.mechmat.2003.02.001
– year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0315
  article-title: Experimental investigations on the mechanical properties of new type of interpenetrating phase composite based on Schwartz Primitive triply periodic minimal surfaces
– volume: 83
  start-page: 127
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0085
  article-title: Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: a review
  publication-title: Biomaterials
  doi: 10.1016/j.biomaterials.2016.01.012
– volume: 53
  start-page: 572
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0165
  article-title: Additively manufactured metallic porous biomaterials based on minimal surfaces: a unique combination of topological, mechanical, and mass transport properties
  publication-title: Acta Biomater.
  doi: 10.1016/j.actbio.2017.02.024
– ident: 10.1016/j.addma.2017.12.006_bib0060
– volume: 32
  start-page: 6875
  year: 2011
  ident: 10.1016/j.addma.2017.12.006_bib0185
  article-title: Minimal surface scaffold designs for tissue engineering
  publication-title: Biomaterials
  doi: 10.1016/j.biomaterials.2011.06.012
– volume: 16
  start-page: 1091
  year: 2004
  ident: 10.1016/j.addma.2017.12.006_bib0245
  article-title: Three-dimensional network photonic crystals via cyclic size reduction/infiltration of sea urchin exoskeleton
  publication-title: Adv. Mater.
  doi: 10.1002/adma.200400131
– volume: 46
  start-page: 3929
  year: 1998
  ident: 10.1016/j.addma.2017.12.006_bib0065
  article-title: The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams
  publication-title: Acta Mater.
  doi: 10.1016/S1359-6454(98)00072-X
– volume: 16
  start-page: 2577
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0195
  article-title: New paradigms in cellular material design and fabrication
  publication-title: Int. J. Precis. Eng. Manuf.
  doi: 10.1007/s12541-015-0330-8
– start-page: 1700549
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0160
  article-title: Nature-inspired lightweight cellular co-continuous composites with architected periodic gyroidal structures
  publication-title: Adv. Eng. Mater.
– volume: 107
  start-page: 160
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0270
  article-title: Elastic and failure response of imperfect three-dimensional metallic lattices: the role of geometric defects induced by selective laser melting
  publication-title: J. Mech. Phys. Solids
  doi: 10.1016/j.jmps.2017.07.003
– volume: 46
  start-page: 2139
  year: 1998
  ident: 10.1016/j.addma.2017.12.006_bib0055
  article-title: Effects of solid distribution on the stiffness and strength of metallic foams
  publication-title: Acta Mater.
  doi: 10.1016/S1359-6454(97)00421-7
– volume: 118
  start-page: 127
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0130
  article-title: Electrical conductivity of 3D periodic architectured interpenetrating phase composites with carbon nanostructured-epoxy reinforcements
  publication-title: Compos. Sci. Technol.
  doi: 10.1016/j.compscitech.2015.08.021
– volume: 2
  start-page: 1600235
  issue: 2
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0150
  article-title: Mechanical properties of a new type of architected interpenetrating phase composite materials
  publication-title: Adv. Mater. Technol.
  doi: 10.1002/admt.201600235
– volume: 460
  start-page: 1849
  year: 2004
  ident: 10.1016/j.addma.2017.12.006_bib0235
  article-title: Minimal surfaces and multifunctionality
  publication-title: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
  doi: 10.1098/rspa.2003.1269
– volume: 55
  start-page: 533
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0230
  article-title: Advanced lightweight 316L stainless steel cellular lattice structures fabricated via selective laser melting
  publication-title: Mater. Des.
  doi: 10.1016/j.matdes.2013.10.027
– volume: 83
  start-page: 169
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0295
  article-title: Finite element prediction of effective elastic properties of interpenetrating phase composites with architectured 3D sheet reinforcements
  publication-title: Int. J. Solids Struct.
  doi: 10.1016/j.ijsolstr.2016.01.011
– volume: 126
  start-page: 106
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0300
  article-title: Time dependent response of architectured Neovius foams
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2017.03.017
– volume: 214
  start-page: 856
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0225
  article-title: Evaluation of light-weight AlSi10Mg periodic cellular lattice structures fabricated via direct metal laser sintering
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/j.jmatprotec.2013.12.004
– volume: 30
  start-page: 345
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0110
  article-title: High-strength porous biomaterials for bone replacement: a strategy to assess the interplay between cell morphology, mechanical properties, bone ingrowth and manufacturing constraints
  publication-title: Acta Biomater.
  doi: 10.1016/j.actbio.2015.10.048
– volume: 4
  start-page: 1536
  year: 2008
  ident: 10.1016/j.addma.2017.12.006_bib0010
  article-title: Cellular Ti–6Al–4üV structures with interconnected macro porosity for bone implants fabricated by selective electron beam melting
  publication-title: Acta Biomater.
  doi: 10.1016/j.actbio.2008.03.013
– year: 1999
  ident: 10.1016/j.addma.2017.12.006_bib0005
– volume: 84
  start-page: 266
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0170
  article-title: Mechanical properties of 3D printed interpenetrating phase composites with novel architectured 3D solid-sheet reinforcements
  publication-title: Comp. Part A: Appl. Sci. Manuf.
  doi: 10.1016/j.compositesa.2016.02.009
– volume: 89
  start-page: 325
  year: 2009
  ident: 10.1016/j.addma.2017.12.006_bib0105
  article-title: Selective laser melting: a regular unit cell approach for the manufacture of porous, titanium, bone in‐growth constructs, suitable for orthopedic applications
  publication-title: J. Biomed. Mater. Res. B Appl. Biomater.
  doi: 10.1002/jbm.b.31219
– volume: 8
  start-page: 1871
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0120
  article-title: Additively manufactured open-cell porous biomaterials made from six different space-filling unit cells: the mechanical and morphological properties
  publication-title: Materials
  doi: 10.3390/ma8041871
– volume: 23
  start-page: 1045
  year: 1993
  ident: 10.1016/j.addma.2017.12.006_bib0030
  article-title: Application of metallic foams in electrochemical reactors of filter-press type Part I: flow characterization
  publication-title: J. Appl. Electrochem.
  doi: 10.1007/BF00266127
– volume: 51
  start-page: 3866
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0070
  article-title: The stiffness and strength of the gyroid lattice
  publication-title: Int. J. Solids Struct.
  doi: 10.1016/j.ijsolstr.2014.06.024
– volume: 51
  start-page: 61
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0255
  article-title: Ti–6Al–4 V triply periodic minimal surface structures for bone implants fabricated via selective laser melting
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2015.06.024
– volume: 5
  start-page: 77
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0275
  article-title: Effects of build orientation and heat treatment on the microstructure and mechanical properties of selective laser melted Ti6Al4 V lattice structures
  publication-title: Addit. Manuf.
  doi: 10.1016/j.addma.2014.12.008
– volume: 425
  start-page: 12
  year: 2018
  ident: 10.1016/j.addma.2017.12.006_bib0200
  article-title: 3D printed feed spacers based on triply periodic minimal surfaces for flux enhancement and biofouling mitigation in RO and UF
  publication-title: Desalination
  doi: 10.1016/j.desal.2017.10.010
– volume: 72
  start-page: 056319
  year: 2005
  ident: 10.1016/j.addma.2017.12.006_bib0175
  article-title: Fluid permeabilities of triply periodic minimal surfaces
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.72.056319
– volume: 15
  start-page: 2205
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0190
  article-title: Recent trends and challenges in computer-aided design of additive manufacturing-based biomimetic scaffolds and bioartificial organs
  publication-title: Int. J. Precis. Eng. Manuf.
  doi: 10.1007/s12541-014-0583-7
– volume: 26
  start-page: 98
  year: 2013
  ident: 10.1016/j.addma.2017.12.006_bib0280
  article-title: Microstructure and mechanical behavior of porous Ti–6Al–4 V parts obtained by selective laser melting
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2013.05.011
– volume: 92
  start-page: 80
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0145
  article-title: Finite element predictions of effective multifunctional properties of interpenetrating phase composites with novel triply periodic solid shell architectured reinforcements
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2014.12.004
– volume: 44
  start-page: 4993
  year: 2005
  ident: 10.1016/j.addma.2017.12.006_bib0035
  article-title: Mass-transfer characterization of metallic foams as supports for structured catalysts
  publication-title: Ind. Eng. Chem. Res.
  doi: 10.1021/ie0490886
– volume: 16
  start-page: 24
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0320
  article-title: Compressive failure modes and energy absorption in additively manufactured double gyroid lattices
  publication-title: Addit. Manuf.
  doi: 10.1016/j.addma.2017.04.003
– volume: 70
  start-page: 28
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0285
  article-title: The relationships between deformation mechanisms and mechanical properties of additively manufactured porous biomaterials
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2016.09.018
– volume: 49
  start-page: 1747
  year: 2001
  ident: 10.1016/j.addma.2017.12.006_bib0095
  article-title: Effective properties of the octet-truss lattice material
  publication-title: J. Mech. Phys. Solids
  doi: 10.1016/S0022-5096(01)00010-2
– volume: 33
  start-page: 1759
  year: 2013
  ident: 10.1016/j.addma.2017.12.006_bib0205
  article-title: New paradigms in hierarchical porous scaffold design for tissue engineering
  publication-title: Mater. Sci. Eng.: C
  doi: 10.1016/j.msec.2012.12.092
– volume: 35
  start-page: 795
  year: 2008
  ident: 10.1016/j.addma.2017.12.006_bib0100
  article-title: The quasi-static and blast loading response of lattice structures
  publication-title: Int. J. Impact Eng.
  doi: 10.1016/j.ijimpeng.2007.10.005
– volume: 95
  start-page: 102
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0125
  article-title: Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces
  publication-title: Mech. Mater.
  doi: 10.1016/j.mechmat.2016.01.004
– volume: 90
  start-page: 59
  year: 2005
  ident: 10.1016/j.addma.2017.12.006_bib0025
  article-title: Potential of silver nanoparticle-coated polyurethane foam as an antibacterial water filter
  publication-title: Biotechnol. Bioeng.
  doi: 10.1002/bit.20368
– volume: 32
  start-page: 7741
  year: 2011
  ident: 10.1016/j.addma.2017.12.006_bib0210
  article-title: Porous scaffold design using the distance field and triply periodic minimal surface models
  publication-title: Biomaterials
  doi: 10.1016/j.biomaterials.2011.07.019
– volume: 49
  start-page: 1035
  year: 2001
  ident: 10.1016/j.addma.2017.12.006_bib0075
  article-title: Foam topology: bending versus stretching dominated architectures
  publication-title: Acta Mater.
  doi: 10.1016/S1359-6454(00)00379-7
– volume: 46
  start-page: 3619
  year: 1998
  ident: 10.1016/j.addma.2017.12.006_bib0045
  article-title: Heat transfer in open-cell metal foams
  publication-title: Acta Mater.
  doi: 10.1016/S1359-6454(98)00031-7
– volume: 133
  start-page: 85
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0140
  article-title: Micromechanical finite element predictions of a reduced coefficient of thermal expansion for 3D periodic architectured interpenetrating phase composites
  publication-title: Compos. Struct.
  doi: 10.1016/j.compstruct.2015.06.082
– volume: 7
  start-page: 1398
  year: 2011
  ident: 10.1016/j.addma.2017.12.006_bib0015
  article-title: Bioactive Ti metal analogous to human cancellous bone: fabrication by selective laser melting and chemical treatments
  publication-title: Acta Biomater.
  doi: 10.1016/j.actbio.2010.09.034
– year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0080
– volume: 16
  start-page: 2021
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0215
  article-title: An advanced multi-morphology porous scaffold design method using volumetric distance field and beta growth function
  publication-title: Int. J. Precis. Eng. Manuf.
  doi: 10.1007/s12541-015-0263-2
– start-page: 1
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0290
  article-title: Thermo-electro-mechanical properties of interpenetrating phase composites with periodic architectured reinforcements
– volume: 46
  start-page: 273
  year: 2001
  ident: 10.1016/j.addma.2017.12.006_bib0020
  article-title: Cellular materials as porous scaffolds for tissue engineering
  publication-title: Prog. Mater. Sci.
  doi: 10.1016/S0079-6425(00)00018-9
– volume: 70
  start-page: 17
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0265
  article-title: Compensation strategy to reduce geometry and mechanics mismatches in porous biomaterials built with Selective Laser Melting
  publication-title: J. Mech. Behav. Biomed. Mater.
  doi: 10.1016/j.jmbbm.2016.04.041
– volume: 95
  start-page: 1
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0305
  article-title: Stiffness and Yield Strength of Architectured Foams Based on the Schwarz Primitive Triply Periodic Minimal Surface
  publication-title: Int. J. Plast.
  doi: 10.1016/j.ijplas.2017.03.005
– year: 2001
  ident: 10.1016/j.addma.2017.12.006_bib0050
  article-title: Novel lightweight metal foam heat exchangers
  publication-title: 2001 ASME Congress Proceedings
– volume: 28
  start-page: 1631
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0240
  article-title: Harnessing deformation to switch on and off the propagation of sound
  publication-title: Adv. Mater.
  doi: 10.1002/adma.201504469
– volume: 628
  start-page: 238
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0250
  article-title: Microstructure and mechanical properties of aluminium alloy cellular lattice structures manufactured by direct metal laser sintering
  publication-title: Mater. Sci. Eng.: A
  doi: 10.1016/j.msea.2015.01.063
– volume: 669
  start-page: 1
  year: 2016
  ident: 10.1016/j.addma.2017.12.006_bib0260
  article-title: Fracture toughness and tensile strength of 316L stainless steel cellular lattice structures manufactured using the selective laser melting technique
  publication-title: Mater. Sci. Eng.: A
  doi: 10.1016/j.msea.2016.05.075
– volume: 344
  start-page: 1373
  year: 2014
  ident: 10.1016/j.addma.2017.12.006_bib0325
  article-title: Ultralight, ultrastiff mechanical metamaterials
  publication-title: Science
  doi: 10.1126/science.1252291
– volume: 27
  start-page: 5506
  year: 2015
  ident: 10.1016/j.addma.2017.12.006_bib0310
  article-title: A new type of low density material: shellular
  publication-title: Adv. Mater.
  doi: 10.1002/adma.201501546
– volume: 10
  start-page: 693
  year: 2006
  ident: 10.1016/j.addma.2017.12.006_bib0220
  article-title: Schwarz meets Schwann: design and fabrication of biomorphic and durataxic tissue engineering scaffolds
  publication-title: Med. Image Anal.
  doi: 10.1016/j.media.2006.06.001
– volume: 176
  start-page: 9
  year: 2017
  ident: 10.1016/j.addma.2017.12.006_bib0155
  article-title: Mechanical properties of periodic interpenetrating phase composites with novel architected microstructures
  publication-title: Compos. Struct.
  doi: 10.1016/j.compstruct.2017.05.026
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Snippet Recent advances in additive manufacturing facilitated the fabrication of parts with great geometrical complexity and relatively small size, and allowed for the...
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elsevier
SourceType Enrichment Source
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Publisher
StartPage 167
SubjectTerms Additive manufacturing (AM)
Architected materials
Powder bed fusion
Selective laser sintering (SLS)
Triply periodic minimal surfaces (TPMS)
Title Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials
URI https://dx.doi.org/10.1016/j.addma.2017.12.006
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