Non-linear Constitutive Model for the Oligocarbonate Polyurethane Material
The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer？. The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyure...
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| Published in | Chinese journal of polymer science Vol. 32; no. 12; pp. 1666 - 1677 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Chinese Chemical Society and Institute of Chemistry, CAS
01.12.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0256-7679 1439-6203 |
| DOI | 10.1007/s10118-014-1549-z |
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| Abstract | The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer？. The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyurethane was assumed to be non-linearly viscohyperelastic, isotropic and incompressible. The constitutive equation was derived from the postulated strain energy function. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at two different strain rates, i.e. λ= 0.1 min-1 and λ= 1.0 min-1. The stiffness tensor was derived and introduced to Abaqus？finite element（FE） software in order to numerically validate the constitutive model. The results of the constants identification and numerical implementation show that the derived constitutive equation is fully adequate to model stress-strain behavior of the polyurethane material. |
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| AbstractList | The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer(R). The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyurethane was assumed to be non-linearly viscohyperelastic, isotropic and incompressible. The constitutive equation was derived from the postulated strain energy function. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at two different strain rates, i.e. [lambda] = 0.1 min super(-1) and [lambda] = 1.0 min super(-1). The stiffness tensor was derived and introduced to Abaqus(R) finite element (FE) software in order to numerically validate the constitutive model. The results of the constants identification and numerical implementation show that the derived constitutive equation is fully adequate to model stress-strain behavior of the polyurethane material. The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer？. The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyurethane was assumed to be non-linearly viscohyperelastic, isotropic and incompressible. The constitutive equation was derived from the postulated strain energy function. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at two different strain rates, i.e. λ= 0.1 min-1 and λ= 1.0 min-1. The stiffness tensor was derived and introduced to Abaqus？finite element（FE） software in order to numerically validate the constitutive model. The results of the constants identification and numerical implementation show that the derived constitutive equation is fully adequate to model stress-strain behavior of the polyurethane material. The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer®. The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyurethane was assumed to be non-linearly viscohyperelastic, isotropic and incompressible. The constitutive equation was derived from the postulated strain energy function. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at two different strain rates, i.e. min −1 and min −1 . The stiffness tensor was derived and introduced to Abaqus® finite element (FE) software in order to numerically validate the constitutive model. The results of the constants identification and numerical implementation show that the derived constitutive equation is fully adequate to model stress-strain behavior of the polyurethane material. |
| Author | Marek Pawlikowski |
| AuthorAffiliation | Warsaw University of Technology, Institute of Mechanics and Printing |
| Author_xml | – sequence: 1 givenname: Marek surname: Pawlikowski fullname: Pawlikowski, Marek email: m.pawlikowski@wip.pw.edu.pl organization: Institute of Mechanics and Printing, Warsaw University of Technology |
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| CitedBy_id | crossref_primary_10_1016_j_mtcomm_2020_101081 crossref_primary_10_1142_S1758825116500629 crossref_primary_10_3390_polym10060668 crossref_primary_10_1080_00222348_2016_1207643 |
| Cites_doi | 10.1007/s10118-012-1138-y 10.1002/pol.1973.170110929 10.1007/s11043-013-9208-2 10.1016/S0045-7949(02)00428-5 10.1177/088532829500900402 10.1016/S0032-3861(00)00273-1 10.1016/j.colsurfa.2008.12.025 10.1016/j.mechmat.2010.07.007 10.1007/s10118-013-1358-9 10.1007/978-3-662-13183-1 10.1002/zamm.201100082 10.1016/j.crme.2012.05.003 10.1243/09544119JEIM559 10.1103/RevModPhys.33.239 10.1007/s10118-013-1315-7 10.1016/j.jmps.2013.06.005 10.1002/nme.1620020106 10.1002/pat.3133 10.1007/s00466-004-0593-y 10.2478/v10180-012-0003-4 10.1115/1.321146 10.1016/j.spinee.2004.09.006 10.1002/app.1989.070380306 10.1016/S0093-6413(01)00189-6 10.1016/0032-3861(95)99302-B 10.1007/BF00268042 10.1016/j.biomaterials.2008.06.021 10.1016/j.compscitech.2010.05.011 10.1016/j.spinee.2009.04.026 |
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| Copyright | Chinese Chemical Society, Institute of Chemistry, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2014 |
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| Keywords | Finite elements Constitutive model Stress relaxation Viscoelastic material |
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| Notes | The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by Bayer？. The constitutive modelling was performed with a view to applying the material as the inlay of intervertebral disc prostheses. The polyurethane was assumed to be non-linearly viscohyperelastic, isotropic and incompressible. The constitutive equation was derived from the postulated strain energy function. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at two different strain rates, i.e. λ= 0.1 min-1 and λ= 1.0 min-1. The stiffness tensor was derived and introduced to Abaqus？finite element（FE） software in order to numerically validate the constitutive model. The results of the constants identification and numerical implementation show that the derived constitutive equation is fully adequate to model stress-strain behavior of the polyurethane material. Constitutive model Viscoelastic material Stress relaxation Finite elements. 11-2015/O6 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| PublicationTitle | Chinese journal of polymer science |
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| PublicationYear | 2014 |
| Publisher | Chinese Chemical Society and Institute of Chemistry, CAS |
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| References | JemiołoSTelegaJJMech. Res. Comm.20012839710.1016/S0093-6413(01)00189-6 TruesdellCNollWThe Non-linear Field Theories199210.1007/978-3-662-13183-1 JaviliAdell IsolaFSteinmannPJ. Mech. Phys. Solids.20136123811:CAS:528:DC%2BC3sXhsVCls7zK10.1016/j.jmps.2013.06.005 SongNJiangXLiJPangYLiJTanHFuQChinese J. Polym. Sci.2013311014511:CAS:528:DC%2BC3sXhtVWlsr%2FM10.1007/s10118-013-1315-7 PawlikowskiMArch. Mech. Eng.2012LIX3110.2478/v10180-012-0003-4 LuoLWangXJiaYWangZPolym. Adv. Technol.20132476791:CAS:528:DC%2BC3sXnt1Sjur0%3D10.1002/pat.3133 ZhangJXiaoCWangJZhuangXChenXChinese J. Polym. Sci.2013311216971:CAS:528:DC%2BC3sXhslCmtr%2FM10.1007/s10118-013-1358-9 StokesKMcVenesRAndersonJJ. Biomater. Appl.199593211:CAS:528:DyaK2MXmt1Oju78%3D CiambellaJPaoloneAVidoliSMech. Mat.20104293210.1016/j.mechmat.2010.07.007 PokharkarVSivaramSPolymer19953648511:CAS:528:DyaK2MXpvVOju7Y%3D10.1016/0032-3861(95)99302-B ZhangJNWuMYYangJJWuQYJinZLColloids Surf. A: Physicochem. Eng. Asp.20093372001:CAS:528:DC%2BD1MXhs1Cis7Y%3D10.1016/j.colsurfa.2008.12.025 OgdenRSaccomandiGSguraIComput. Mech.20043448410.1007/s00466-004-0593-y TaylorRLPisterKSGoudreauGLInt. J. Num. Methods. Eng.197024510.1002/nme.1620020106 DollSSchweizerhofKJ. Appl. Mech.2000671710.1115/1.321146 RokickiGKowalczykTPolymer20004190131:CAS:528:DC%2BD3cXmtF2htL0%3D10.1016/S0032-3861(00)00273-1 PawlikowskiMMech. Time Dependent Mat.20141811:CAS:528:DC%2BC2cXjvV2rsrw%3D10.1007/s11043-013-9208-2 SchnellHChemistry and physics of polycarbonates1964New YorkWiley LongCShengMHeBWuYWangGGuZChinese J. Polym. Sci.20123033871:CAS:528:DC%2BC38Xis1Orsb0%3D10.1007/s10118-012-1138-y AdhikariRGunatillakePAGriffithsITataiLWickramaratnaMHoushyarSMooreTMayadunneRTFieldJMcGeeMCarboneTBiomaterials20082937621:CAS:528:DC%2BD1cXpt1enu7w%3D10.1016/j.biomaterials.2008.06.021 MadeoAGeorgeDLekszyckiTNierenbergerMRémondYC.R. Mecanique20123405751:CAS:528:DC%2BC38Xot1ChsLc%3D10.1016/j.crme.2012.05.003 Büttner-JanzKSchellnackKZippelHInt. Orthop.19891317310.1007/BF00268042 LekszyckiTdell’IsolaFZAMM-J. Appl. Math. Mech.20129242610.1002/zamm.201100082 ColemanBDNollWRev. Mod. Phys.19613223910.1103/RevModPhys.33.239 HöckerHKeulHSalomoneJCCyclic carbonates (ring-opening polymerization)Polymeric materials encyclopedia1996Boca Raton, FLCRC Press HarrisRFJ. Appl. Polym. Sci.1989384631:CAS:528:DyaL1MXmtleku7c%3D10.1002/app.1989.070380306 AndreausUCollocaMProc. Inst. Mech. Eng. H.200922355891:STN:280:DC%2BD1MrgtFOgsw%3D%3D10.1243/09544119JEIM559 GamradtSCWangJCSpine J.200559510.1016/j.spinee.2004.09.006 PawlikowskiMSkalskiKHaraburdaMComp. Struct.20038188710.1016/S0045-7949(02)00428-5 RyszkowskaJLAuguscikMSheikhABoccacciniAComp. Sci. Technol.20107018941:CAS:528:DC%2BC3cXht1ajtLvM10.1016/j.compscitech.2010.05.011 KobayashiMInoueSTsurutaTJ. Polym. Sci. Polym. Chem. Ed.19731123831:CAS:528:DyaE3sXlsVKru7c%3D10.1002/pol.1973.170110929 ButtermannGRBeaubienBPSpine J.2009974410.1016/j.spinee.2009.04.026 M Kobayashi (1549_CR9) 1973; 11 L Luo (1549_CR20) 2013; 24 T Lekszycki (1549_CR29) 2012; 92 J Zhang (1549_CR4) 2013; 31 V Pokharkar (1549_CR11) 1995; 36 J Ciambella (1549_CR23) 2010; 42 K Büttner-Janz (1549_CR14) 1989; 13 M Pawlikowski (1549_CR27) 2003; 81 H Höcker (1549_CR10) 1996 M Pawlikowski (1549_CR18) 2012; LIX S Doll (1549_CR25) 2000; 67 U Andreaus (1549_CR28) 2009; 223 GR Buttermann (1549_CR15) 2009; 9 JL Ryszkowska (1549_CR1) 2010; 70 M Pawlikowski (1549_CR24) 2014; 18 RL Taylor (1549_CR22) 1970; 2 A Javili (1549_CR31) 2013; 61 S Jemioło (1549_CR21) 2001; 28 SC Gamradt (1549_CR16) 2005; 5 G Rokicki (1549_CR13) 2000; 41 N Song (1549_CR2) 2013; 31 RF Harris (1549_CR12) 1989; 38 H Schnell (1549_CR8) 1964 K Stokes (1549_CR7) 1995; 9 R Adhikari (1549_CR3) 2008; 29 C Long (1549_CR6) 2012; 30 JN Zhang (1549_CR5) 2009; 337 BD Coleman (1549_CR19) 1961; 3 A Madeo (1549_CR30) 2012; 340 C Truesdell (1549_CR17) 1992 R Ogden (1549_CR26) 2004; 34 |
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Appl.199593211:CAS:528:DyaK2MXmt1Oju78%3D – reference: OgdenRSaccomandiGSguraIComput. Mech.20043448410.1007/s00466-004-0593-y – reference: ZhangJNWuMYYangJJWuQYJinZLColloids Surf. A: Physicochem. Eng. Asp.20093372001:CAS:528:DC%2BD1MXhs1Cis7Y%3D10.1016/j.colsurfa.2008.12.025 – reference: DollSSchweizerhofKJ. Appl. Mech.2000671710.1115/1.321146 – reference: SongNJiangXLiJPangYLiJTanHFuQChinese J. Polym. Sci.2013311014511:CAS:528:DC%2BC3sXhtVWlsr%2FM10.1007/s10118-013-1315-7 – reference: HöckerHKeulHSalomoneJCCyclic carbonates (ring-opening polymerization)Polymeric materials encyclopedia1996Boca Raton, FLCRC Press – reference: LongCShengMHeBWuYWangGGuZChinese J. Polym. Sci.20123033871:CAS:528:DC%2BC38Xis1Orsb0%3D10.1007/s10118-012-1138-y – reference: CiambellaJPaoloneAVidoliSMech. 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| Snippet | The polyurethane, which was the subject of the constitutive research presented in the paper, was based on oligocarbonate diols Desmophen C2100 produced by... |
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| SubjectTerms | Abaqus Characterization and Evaluation of Materials Chemistry Chemistry and Materials Science Condensed Matter Physics Constants Constitutive equations Constitutive relationships Finite element method Industrial Chemistry/Chemical Engineering Mathematical analysis Mathematical models Nonlinearity Polymer Sciences Polyurethane resins 实验测试 应力应变行为 本构方程 本构模型 聚氨酯材料 聚碳酸酯二醇 非线性 |
| Title | Non-linear Constitutive Model for the Oligocarbonate Polyurethane Material |
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