Incorporation of localizing gradient-enhanced damage model into layered membrane elements for reinforced concrete structures subject to in-plane loading

•Unite localizing gradient-enhanced concrete model and Menegotto-Pinto steel model.•Propose eight-node quadrilateral layered membrane elements enhanced with DOFs.•Identify governing parameters and validate proposed RC element. Implementation of the localizing gradient-enhanced concrete model and the...

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Published inStructures (Oxford) Vol. 30; pp. 455 - 476
Main Authors Tong, Teng, Wang, Yangchun, Yuan, Siqi, Brigham, John C., Liu, Zhao
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2021
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ISSN2352-0124
2352-0124
DOI10.1016/j.istruc.2020.12.063

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Abstract •Unite localizing gradient-enhanced concrete model and Menegotto-Pinto steel model.•Propose eight-node quadrilateral layered membrane elements enhanced with DOFs.•Identify governing parameters and validate proposed RC element. Implementation of the localizing gradient-enhanced concrete model and the Menegotto-Pinto steel model into eight-node quadrilateral layered membrane elements for reinforcement concrete (RC) members subject to in-plane quasi-static loading is presented and evaluated. This RC element circumvents the pathological mesh-sensitivity of continuum damage models and the spurious damage growth of standard gradient damage models. Drilling DOFs are adopted, which improve the smoothness of strain distributions and aid in numerical convergence. The layered cross-section consists of fully bonded/smeared steel reinforcement layers and concrete layers. Different properties over the thickness can be easily assigned to each layer to account for heterogeneity. Several benchmark tests are simulated to demonstrate the versatility and effectiveness of the RC element. It is highlighted that all analyses are performed with the fully implicit incremental-iterative Newton-Raphson algorithm. Consequently, the RC element is suitable for modeling quasi-static behaviors of RC members, especially those coupled with other physical processes (creep, shrinkage, corrosion, etc.).
AbstractList •Unite localizing gradient-enhanced concrete model and Menegotto-Pinto steel model.•Propose eight-node quadrilateral layered membrane elements enhanced with DOFs.•Identify governing parameters and validate proposed RC element. Implementation of the localizing gradient-enhanced concrete model and the Menegotto-Pinto steel model into eight-node quadrilateral layered membrane elements for reinforcement concrete (RC) members subject to in-plane quasi-static loading is presented and evaluated. This RC element circumvents the pathological mesh-sensitivity of continuum damage models and the spurious damage growth of standard gradient damage models. Drilling DOFs are adopted, which improve the smoothness of strain distributions and aid in numerical convergence. The layered cross-section consists of fully bonded/smeared steel reinforcement layers and concrete layers. Different properties over the thickness can be easily assigned to each layer to account for heterogeneity. Several benchmark tests are simulated to demonstrate the versatility and effectiveness of the RC element. It is highlighted that all analyses are performed with the fully implicit incremental-iterative Newton-Raphson algorithm. Consequently, the RC element is suitable for modeling quasi-static behaviors of RC members, especially those coupled with other physical processes (creep, shrinkage, corrosion, etc.).
Author Liu, Zhao
Wang, Yangchun
Tong, Teng
Yuan, Siqi
Brigham, John C.
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10.1002/(SICI)1097-0207(19980630)42:4<703::AID-NME384>3.0.CO;2-B
10.1016/j.cma.2017.09.019
10.1016/0045-7949(77)90068-2
10.1002/nag.563
10.1061/(ASCE)BE.1943-5592.0001206
10.1061/(ASCE)0733-9445(1995)121:3(433)
10.1145/838250.838251
10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D
10.1016/j.engstruct.2016.11.064
10.1002/nme.2395
10.1115/1.3171860
10.1016/j.finel.2019.04.001
10.1007/s10518-016-9987-3
10.1016/0045-7949(87)90200-8
10.1016/j.engstruct.2016.06.024
10.1002/nme.1620350307
10.1016/j.engstruct.2016.09.004
10.1023/A:1018652302261
10.1002/nme.5364
10.1061/(ASCE)0733-9445(2000)126:9(1070)
10.1016/0045-7949(94)00501-S
10.1016/j.engstruct.2008.04.033
10.1115/1.3173674
10.1061/(ASCE)0733-9445(2005)131:1(54)
10.1002/nme.4640
10.1061/(ASCE)0733-9399(1984)110:4(518)
10.1016/S0045-7825(99)00213-3
10.1016/j.jmps.2017.03.015
10.1016/j.ijsolstr.2005.02.029
10.1002/(SICI)1099-1484(1998100)3:4<305::AID-CFM49>3.0.CO;2-G
10.1016/0045-7949(91)90015-E
10.1002/nag.2180
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References Belarbi, Hsu (b0015) 1995; 92
Martins, Sturdza, Alonso (b0120) 2003; 29
OpenSees. Annual workshop on open system for earthquake engineering simulation. Pacific Earthquake Engineering Research Center (PEER), University of California, Berkeley; 2013.
Sarkar, Singh, Mishra, Shedbale, Poh (b0200) 2019; 160
Lourenco, Almeida (b0150) 2013; 110
Wu (b0275) 2017; 103
Meschke G R, et al. An anisotropic elastoplastic-damage model for plain concrete. Int J Numer Meth Eng 1998; 42(4):703-727.
Hsu, Zhu (b0075) 2002; 99
Vecchio, Collins (b0255) 1981; 34
Grégoire D, Rojas‐Solano LB, Pijaudier‐Cabot G. Failure and size effect for notched and unnotched concrete beams. Int J Numer Anal Met 2013; 37(10): 1434-1452.
Luu, Mo, Hsu (b0100) 2017; 132
Mata-Falcón J, Tran D T, Kaufmann W, et al. Computer-aided stress field analysis of discontinuity concrete regions, In Computational Modelling of Concrete Structures- Proceedings of EURO-C 2018.
Zhang, Kuang (b0280) 2008; 76
Hosseini, Remmers, de Borst (b0070) 2014; 98
Maekawa, Okamura, Pimanmas (b0110) 2003
Meftah, Reynouard (b0135) 1998; 3
de Vree, Brekelmans, van Gils (b0050) 1995; 55
Dodd, Restrepo-Posada (b0055) 1995; 121
Bažant (b0010) 1984; 110
Lefas, Kotsovos, Ambraseys (b0095) 1990; 87
Rojas, Anderson, Massone (b0235) 2016; 124
Schreyer H L, Chen Z. One-Dimensional Softening with Localization. J Appl Mech 1986; 53(4):791.
Mazzoni S, McKenna F, Fenves GL. OpenSees command language manual. Pacific Earthquake Engineering Research Center (PEER). University of California, Berkeley; 2005.
Vliet, Mier (b0270) 1999; 95
Pan, Tao, Nie (b0180) 2017; 15
Nguyen, Bui, Hirose (b0170) 2018; 328
Cervenka (b0020) 1985; 82
Pang, Hsu (b0215) 1996; 93
Cervera, Hinton, Hassan (b0025) 1987; 25
Kuhl, Ramm, de Borst (b0090) 2000; 183
Zhao, Sheng, Zhou (b0290) 2005; 42
Darwin, Pecknold (b0045) 1977; 7
Mo, Zhong, Hsu (b0160) 2008; 30
Peerlings, Borst, Brekelmans (b0190) 1998; 08
Hu, Schnobrich (b0080) 1991; 38
Nguyen, Houlsby (b0165) 2007; 31
Menegotto, Pinto (b0140) 1973
Izumo J, Shin H, Maekawa K, Okamura H. An analytical model for RC panels subjected to in-plane stresses. In: International workshop on concrete shear earthquake. Houston: Elsevier Science Publishers, Inc; 1991.
Ramberg W, Osgood W R. Description of stress-strain curves by three parameters. Technical Note No. 902, National Advisory Committee for Aeronautics, Washington DC; 1943.
Cook R D, Malkus D S, Plesha M E, et al. Concepts and Applications of Finite Element Analysis, 4th Edition, John Wiley Sons; 2001.
Peerlings R H J, Borst R D, Brekelmans W A M, et al. Gradient enhanced damage for quasi-brittle materials. Int J Numer Meth Eng 1996; 39(19):3391-3403.
Bažant Z P. Pijaudier-Cabot G. Nonlocal Continuum Damage, Localization Instability and Convergence. J Appl Mech 1988; 55(2):287-293.
Mindess S, Young JF, Darwin D. Concrete. 2nd ed. Upper Saddle River, NJ 07458: Prentice Hall, Pearson Education, Inc.; 2003.
Poh, Sun (b0220) 2016; 110
Sezen, Setzler (b0245) 2008; 105
Zhang J. Model-based simulation of reinforced concrete plane stress structures. PhD Thesis, Houston: University of Houston; 2005.
Leonhardt F, Walther R. Wandartiger Träger, DAfStb Heft 178, Wilhelm Ernst & Sohn, Berlin; 1966.
Chang G A, Mander J B. Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part I – Evaluation of Seismic Capacity, No. NCEER-94-0006, State University of New York, Buffalo; 1994.
Hand Jr FR, Pecknold DA, Schnobrich WC. A layered finite element nonlinear analysis of reinforced concrete plates and shells. College of Engineering. University of Illinois at Urbana-Champaign; 1972.
Mansour, Hsu (b0115) 2005; 131
Pang, Hsu (b0210) 1995; 92
Shin H, Maekawa K, Okamura H. Analytical models for reinforced concrete shear walls under reversal cyclic loading. In: International workshop on concrete shear earthquake. Houston: Elsevier Science Publishers; 1991.
Polak, Vecchio (b0195) 1994; 91
Tong, Liu, Zhang, Yu (b0250) 2016; 127
Vecchio (b0265) 2000; 126
Darwin D, Pecknold DA. Inelastic model for cyclic biaxial loading of reinforced concrete. Civil engineering studies, No. 409. University of Illinois at Urbana-Champaign; 1974.
De Borst, Mühlhaus (b0230) 1992; 35
Zhou, Liu, He (b0295) 2018; 23
Cervera (10.1016/j.istruc.2020.12.063_b0025) 1987; 25
Wu (10.1016/j.istruc.2020.12.063_b0275) 2017; 103
Menegotto (10.1016/j.istruc.2020.12.063_b0140) 1973
Zhou (10.1016/j.istruc.2020.12.063_b0295) 2018; 23
10.1016/j.istruc.2020.12.063_b0105
Pang (10.1016/j.istruc.2020.12.063_b0210) 1995; 92
10.1016/j.istruc.2020.12.063_b0225
Vliet (10.1016/j.istruc.2020.12.063_b0270) 1999; 95
10.1016/j.istruc.2020.12.063_b0035
10.1016/j.istruc.2020.12.063_b0155
Nguyen (10.1016/j.istruc.2020.12.063_b0170) 2018; 328
Luu (10.1016/j.istruc.2020.12.063_b0100) 2017; 132
Polak (10.1016/j.istruc.2020.12.063_b0195) 1994; 91
10.1016/j.istruc.2020.12.063_b0030
Nguyen (10.1016/j.istruc.2020.12.063_b0165) 2007; 31
Sarkar (10.1016/j.istruc.2020.12.063_b0200) 2019; 160
Darwin (10.1016/j.istruc.2020.12.063_b0045) 1977; 7
Kuhl (10.1016/j.istruc.2020.12.063_b0090) 2000; 183
Lefas (10.1016/j.istruc.2020.12.063_b0095) 1990; 87
10.1016/j.istruc.2020.12.063_b0065
10.1016/j.istruc.2020.12.063_b0145
Maekawa (10.1016/j.istruc.2020.12.063_b0110) 2003
10.1016/j.istruc.2020.12.063_b0185
De Borst (10.1016/j.istruc.2020.12.063_b0230) 1992; 35
Belarbi (10.1016/j.istruc.2020.12.063_b0015) 1995; 92
10.1016/j.istruc.2020.12.063_b0060
Zhao (10.1016/j.istruc.2020.12.063_b0290) 2005; 42
Hsu (10.1016/j.istruc.2020.12.063_b0075) 2002; 99
10.1016/j.istruc.2020.12.063_b0205
Sezen (10.1016/j.istruc.2020.12.063_b0245) 2008; 105
10.1016/j.istruc.2020.12.063_b0125
10.1016/j.istruc.2020.12.063_b0005
Bažant (10.1016/j.istruc.2020.12.063_b0010) 1984; 110
Mansour (10.1016/j.istruc.2020.12.063_b0115) 2005; 131
10.1016/j.istruc.2020.12.063_b0175
Martins (10.1016/j.istruc.2020.12.063_b0120) 2003; 29
10.1016/j.istruc.2020.12.063_b0130
Peerlings (10.1016/j.istruc.2020.12.063_b0190) 1998; 08
Lourenco (10.1016/j.istruc.2020.12.063_b0150) 2013; 110
Pang (10.1016/j.istruc.2020.12.063_b0215) 1996; 93
Hu (10.1016/j.istruc.2020.12.063_b0080) 1991; 38
Vecchio (10.1016/j.istruc.2020.12.063_b0265) 2000; 126
Poh (10.1016/j.istruc.2020.12.063_b0220) 2016; 110
Tong (10.1016/j.istruc.2020.12.063_b0250) 2016; 127
Vecchio (10.1016/j.istruc.2020.12.063_b0255) 1981; 34
Hosseini (10.1016/j.istruc.2020.12.063_b0070) 2014; 98
Zhang (10.1016/j.istruc.2020.12.063_b0280) 2008; 76
Meftah (10.1016/j.istruc.2020.12.063_b0135) 1998; 3
de Vree (10.1016/j.istruc.2020.12.063_b0050) 1995; 55
Dodd (10.1016/j.istruc.2020.12.063_b0055) 1995; 121
10.1016/j.istruc.2020.12.063_b0285
10.1016/j.istruc.2020.12.063_b0040
Cervenka (10.1016/j.istruc.2020.12.063_b0020) 1985; 82
10.1016/j.istruc.2020.12.063_b0240
10.1016/j.istruc.2020.12.063_b0085
Rojas (10.1016/j.istruc.2020.12.063_b0235) 2016; 124
Pan (10.1016/j.istruc.2020.12.063_b0180) 2017; 15
Mo (10.1016/j.istruc.2020.12.063_b0160) 2008; 30
References_xml – volume: 99
  start-page: 460
  year: 2002
  end-page: 469
  ident: b0075
  article-title: Softened membrane model for reinforced concrete elements in shear
  publication-title: ACI Struct J
– year: 2003
  ident: b0110
  article-title: Non-linear mechanics of reinforced concrete
– reference: Mata-Falcón J, Tran D T, Kaufmann W, et al. Computer-aided stress field analysis of discontinuity concrete regions, In Computational Modelling of Concrete Structures- Proceedings of EURO-C 2018.
– volume: 93
  start-page: 197
  year: 1996
  end-page: 207
  ident: b0215
  article-title: Fixed-angle softened-truss model for reinforced concrete
  publication-title: ACI Struct J
– volume: 127
  start-page: 510
  year: 2016
  end-page: 524
  ident: b0250
  article-title: Long-term performance of prestressed concrete bridges under the intertwined effects of concrete damage, static creep and traffic-induced cyclic creep
  publication-title: Eng Struct
– volume: 132
  start-page: 778
  year: 2017
  end-page: 790
  ident: b0100
  article-title: Development of CSMM-based shell element for reinforced concrete structures
  publication-title: Eng Struct
– volume: 08
  start-page: 293
  year: 1998
  end-page: 300
  ident: b0190
  article-title: Wave propagation and localization in nonlocal and gradient-enhanced damage models
  publication-title: J De Phys IV
– reference: Chang G A, Mander J B. Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part I – Evaluation of Seismic Capacity, No. NCEER-94-0006, State University of New York, Buffalo; 1994.
– volume: 124
  start-page: 521
  year: 2016
  end-page: 538
  ident: b0235
  article-title: A nonlinear quadrilateral layered membrane element with drilling degrees of freedom for the modeling of reinforced concrete walls
  publication-title: Eng Struct
– reference: Schreyer H L, Chen Z. One-Dimensional Softening with Localization. J Appl Mech 1986; 53(4):791.
– reference: Ramberg W, Osgood W R. Description of stress-strain curves by three parameters. Technical Note No. 902, National Advisory Committee for Aeronautics, Washington DC; 1943.
– reference: Peerlings R H J, Borst R D, Brekelmans W A M, et al. Gradient enhanced damage for quasi-brittle materials. Int J Numer Meth Eng 1996; 39(19):3391-3403.
– reference: Meschke G R, et al. An anisotropic elastoplastic-damage model for plain concrete. Int J Numer Meth Eng 1998; 42(4):703-727.
– reference: Darwin D, Pecknold DA. Inelastic model for cyclic biaxial loading of reinforced concrete. Civil engineering studies, No. 409. University of Illinois at Urbana-Champaign; 1974.
– volume: 110
  start-page: 71
  year: 2013
  end-page: 82
  ident: b0150
  article-title: Adaptive stress field models: formulation and validation
  publication-title: ACI Struct J
– reference: Mindess S, Young JF, Darwin D. Concrete. 2nd ed. Upper Saddle River, NJ 07458: Prentice Hall, Pearson Education, Inc.; 2003.
– reference: Mazzoni S, McKenna F, Fenves GL. OpenSees command language manual. Pacific Earthquake Engineering Research Center (PEER). University of California, Berkeley; 2005.
– reference: Hand Jr FR, Pecknold DA, Schnobrich WC. A layered finite element nonlinear analysis of reinforced concrete plates and shells. College of Engineering. University of Illinois at Urbana-Champaign; 1972.
– volume: 91
  start-page: 261
  year: 1994
  end-page: 268
  ident: b0195
  article-title: Reinforced concrete shell elements subjected to bending and membrane loads
  publication-title: ACI Struct J
– reference: Leonhardt F, Walther R. Wandartiger Träger, DAfStb Heft 178, Wilhelm Ernst & Sohn, Berlin; 1966.
– volume: 25
  start-page: 845
  year: 1987
  end-page: 869
  ident: b0025
  article-title: Nonlinear analysis of reinforced concrete plate and shell structures using 20-noded isoperimetric brick elements
  publication-title: Comput Sruct
– reference: Bažant Z P. Pijaudier-Cabot G. Nonlocal Continuum Damage, Localization Instability and Convergence. J Appl Mech 1988; 55(2):287-293.
– volume: 38
  start-page: 637
  year: 1991
  end-page: 651
  ident: b0080
  article-title: Nonlinear finite element analysis of reinforced concrete plates and shells under monotonic loading
  publication-title: Comput Struct
– volume: 30
  start-page: 3167
  year: 2008
  end-page: 3175
  ident: b0160
  article-title: Seismic simulation of RC wall-type structures
  publication-title: Eng Struct
– volume: 160
  start-page: 1
  year: 2019
  end-page: 31
  ident: b0200
  article-title: A comparative study and ABAQUS implementation of conventional and localizing gradient enhanced damage models
  publication-title: Finite Elem Anal Des
– volume: 103
  start-page: 72
  year: 2017
  end-page: 99
  ident: b0275
  article-title: A unified phase-field theory for the mechanics of damage and quasi-brittle failure
  publication-title: J Mech Phys Solids
– volume: 110
  start-page: 503
  year: 2016
  end-page: 522
  ident: b0220
  article-title: Localizing gradient damage model with decreasing interactions
  publication-title: Int J Numer Meth Eng
– volume: 31
  start-page: 867
  year: 2007
  end-page: 891
  ident: b0165
  article-title: Non-local damage modelling of concrete: a procedure for the determination of model parameters
  publication-title: Int J Numer Anal Meth Geomech
– volume: 23
  start-page: 04018007
  year: 2018
  ident: b0295
  article-title: Elastic-to-Plastic Strut-and-Tie Model for Deep Beams
  publication-title: J Bridge Eng
– volume: 35
  start-page: 521
  year: 1992
  end-page: 539
  ident: b0230
  article-title: Gradient-dependent plasticity: Formulation and algorithmic aspects
  publication-title: Int J Numer Meth Engng
– volume: 3
  start-page: 305
  year: 1998
  end-page: 322
  ident: b0135
  article-title: A multilayered mixed beam element in gradient plasticity for the analysis of localized failure modes
  publication-title: Mech Cohes-Frict Mater
– volume: 126
  start-page: 1070
  year: 2000
  end-page: 1077
  ident: b0265
  article-title: Disturbed stress field model for reinforced concrete: formulation
  publication-title: J Struct Eng
– volume: 105
  start-page: 280
  year: 2008
  end-page: 289
  ident: b0245
  article-title: Reinforcement slip in reinforced concrete columns
  publication-title: ACI Struct J
– reference: Izumo J, Shin H, Maekawa K, Okamura H. An analytical model for RC panels subjected to in-plane stresses. In: International workshop on concrete shear earthquake. Houston: Elsevier Science Publishers, Inc; 1991.
– reference: Shin H, Maekawa K, Okamura H. Analytical models for reinforced concrete shear walls under reversal cyclic loading. In: International workshop on concrete shear earthquake. Houston: Elsevier Science Publishers; 1991.
– volume: 76
  start-page: 2117
  year: 2008
  end-page: 2136
  ident: b0280
  article-title: Eight-node membrane element with drilling degrees of freedom for analysis of in-plane stiffness of thick floor plates
  publication-title: Int J Numer Meth Engng
– volume: 87
  start-page: 23
  year: 1990
  end-page: 31
  ident: b0095
  article-title: Behavior of reinforced concrete structural walls. Strength, deformation characteristics, and failure mechanism
  publication-title: ACI Struct J
– volume: 15
  start-page: 991
  year: 2017
  end-page: 1018
  ident: b0180
  article-title: Fiber beam–column element model considering reinforcement anchorage slip in the footing
  publication-title: Bull Earthquake Eng
– volume: 98
  start-page: 391
  year: 2014
  end-page: 398
  ident: b0070
  article-title: The incorporation of gradient damage models in shell elements
  publication-title: Int J Numer Meth Engng
– volume: 183
  start-page: 87
  year: 2000
  end-page: 103
  ident: b0090
  article-title: An anisotropic gradient damage model for quasi-brittle materials
  publication-title: Comput Methods Appl Mech Eng
– reference: Cook R D, Malkus D S, Plesha M E, et al. Concepts and Applications of Finite Element Analysis, 4th Edition, John Wiley Sons; 2001.
– volume: 82
  start-page: 877
  year: 1985
  end-page: 882
  ident: b0020
  article-title: Constitutive Model for Cracked Reinforced Concrete
  publication-title: ACI Struct J
– volume: 131
  start-page: 54
  year: 2005
  end-page: 65
  ident: b0115
  article-title: Behavior of reinforced concrete elements under cyclic shear. II: Theoretical Model
  publication-title: J Struct Eng
– volume: 42
  start-page: 5335
  year: 2005
  end-page: 5355
  ident: b0290
  article-title: Shear banding analysis of geomaterials by strain gradient enhanced damage model
  publication-title: Int J Solids Struct
– volume: 110
  start-page: 518
  year: 1984
  end-page: 535
  ident: b0010
  article-title: Size Effect in Blunt Fracture: Concrete, Rock, Metal
  publication-title: J Eng Mech
– volume: 95
  start-page: 195
  year: 1999
  end-page: 219
  ident: b0270
  article-title: Effect of strain gradients on the size effect of concrete in uniaxial tension
  publication-title: Int J Fract
– volume: 29
  start-page: 245
  year: 2003
  end-page: 262
  ident: b0120
  article-title: The complex-step derivative approximation
  publication-title: ACM Trans Math Softw
– volume: 7
  start-page: 137
  year: 1977
  end-page: 147
  ident: b0045
  article-title: Analysis of cyclic loading of plane structures
  publication-title: Comput Struct
– volume: 34
  start-page: 211
  year: 1981
  end-page: 225
  ident: b0255
  article-title: Stress-strain characteristics of reinforced concrete in pure shear. Reports of the working commissions
  publication-title: Proc IABSE Sympos
– volume: 92
  start-page: 562
  year: 1995
  end-page: 573
  ident: b0015
  article-title: Constitutive laws of softened concrete in biaxial tension compression
  publication-title: ACI Struct J
– volume: 121
  start-page: 433
  year: 1995
  end-page: 445
  ident: b0055
  article-title: Model for Predicting Cyclic Behavior of Reinforcing Steel
  publication-title: J Struct Eng
– reference: Grégoire D, Rojas‐Solano LB, Pijaudier‐Cabot G. Failure and size effect for notched and unnotched concrete beams. Int J Numer Anal Met 2013; 37(10): 1434-1452.
– volume: 92
  start-page: 665
  year: 1995
  end-page: 679
  ident: b0210
  article-title: Behavior of reinforced concrete membrane elements in shear
  publication-title: ACI Struct J
– volume: 55
  start-page: 581
  year: 1995
  end-page: 588
  ident: b0050
  article-title: Comparison of nonlocal approaches in continuum damage mechanics
  publication-title: Comput Struct
– volume: 328
  start-page: 498
  year: 2018
  end-page: 541
  ident: b0170
  article-title: Smoothing gradient damage model with evolving anisotropic nonlocal interactions tailored to low-order finite elements
  publication-title: Comput Methods Appl Mech Eng
– reference: Zhang J. Model-based simulation of reinforced concrete plane stress structures. PhD Thesis, Houston: University of Houston; 2005.
– year: 1973
  ident: b0140
  article-title: Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending
  publication-title: Proc of IABSE symposium
– reference: OpenSees. Annual workshop on open system for earthquake engineering simulation. Pacific Earthquake Engineering Research Center (PEER), University of California, Berkeley; 2013.
– volume: 93
  start-page: 197
  year: 1996
  ident: 10.1016/j.istruc.2020.12.063_b0215
  article-title: Fixed-angle softened-truss model for reinforced concrete
  publication-title: ACI Struct J
– ident: 10.1016/j.istruc.2020.12.063_b0125
  doi: 10.1201/9781315182964-77
– ident: 10.1016/j.istruc.2020.12.063_b0145
  doi: 10.1002/(SICI)1097-0207(19980630)42:4<703::AID-NME384>3.0.CO;2-B
– ident: 10.1016/j.istruc.2020.12.063_b0030
– volume: 328
  start-page: 498
  year: 2018
  ident: 10.1016/j.istruc.2020.12.063_b0170
  article-title: Smoothing gradient damage model with evolving anisotropic nonlocal interactions tailored to low-order finite elements
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/j.cma.2017.09.019
– volume: 7
  start-page: 137
  issue: 1
  year: 1977
  ident: 10.1016/j.istruc.2020.12.063_b0045
  article-title: Analysis of cyclic loading of plane structures
  publication-title: Comput Struct
  doi: 10.1016/0045-7949(77)90068-2
– ident: 10.1016/j.istruc.2020.12.063_b0085
– volume: 31
  start-page: 867
  issue: 7
  year: 2007
  ident: 10.1016/j.istruc.2020.12.063_b0165
  article-title: Non-local damage modelling of concrete: a procedure for the determination of model parameters
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.563
– volume: 92
  start-page: 665
  year: 1995
  ident: 10.1016/j.istruc.2020.12.063_b0210
  article-title: Behavior of reinforced concrete membrane elements in shear
  publication-title: ACI Struct J
– volume: 23
  start-page: 04018007
  issue: 4
  year: 2018
  ident: 10.1016/j.istruc.2020.12.063_b0295
  article-title: Elastic-to-Plastic Strut-and-Tie Model for Deep Beams
  publication-title: J Bridge Eng
  doi: 10.1061/(ASCE)BE.1943-5592.0001206
– ident: 10.1016/j.istruc.2020.12.063_b0175
– volume: 121
  start-page: 433
  issue: 3
  year: 1995
  ident: 10.1016/j.istruc.2020.12.063_b0055
  article-title: Model for Predicting Cyclic Behavior of Reinforcing Steel
  publication-title: J Struct Eng
  doi: 10.1061/(ASCE)0733-9445(1995)121:3(433)
– volume: 34
  start-page: 211
  year: 1981
  ident: 10.1016/j.istruc.2020.12.063_b0255
  article-title: Stress-strain characteristics of reinforced concrete in pure shear. Reports of the working commissions
  publication-title: Proc IABSE Sympos
– volume: 29
  start-page: 245
  issue: 3
  year: 2003
  ident: 10.1016/j.istruc.2020.12.063_b0120
  article-title: The complex-step derivative approximation
  publication-title: ACM Trans Math Softw
  doi: 10.1145/838250.838251
– ident: 10.1016/j.istruc.2020.12.063_b0185
  doi: 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D
– ident: 10.1016/j.istruc.2020.12.063_b0155
– volume: 132
  start-page: 778
  year: 2017
  ident: 10.1016/j.istruc.2020.12.063_b0100
  article-title: Development of CSMM-based shell element for reinforced concrete structures
  publication-title: Eng Struct
  doi: 10.1016/j.engstruct.2016.11.064
– volume: 110
  start-page: 71
  issue: 1
  year: 2013
  ident: 10.1016/j.istruc.2020.12.063_b0150
  article-title: Adaptive stress field models: formulation and validation
  publication-title: ACI Struct J
– volume: 76
  start-page: 2117
  issue: 13
  year: 2008
  ident: 10.1016/j.istruc.2020.12.063_b0280
  article-title: Eight-node membrane element with drilling degrees of freedom for analysis of in-plane stiffness of thick floor plates
  publication-title: Int J Numer Meth Engng
  doi: 10.1002/nme.2395
– volume: 87
  start-page: 23
  issue: 1
  year: 1990
  ident: 10.1016/j.istruc.2020.12.063_b0095
  article-title: Behavior of reinforced concrete structural walls. Strength, deformation characteristics, and failure mechanism
  publication-title: ACI Struct J
– ident: 10.1016/j.istruc.2020.12.063_b0035
– ident: 10.1016/j.istruc.2020.12.063_b0205
– ident: 10.1016/j.istruc.2020.12.063_b0240
  doi: 10.1115/1.3171860
– volume: 160
  start-page: 1
  year: 2019
  ident: 10.1016/j.istruc.2020.12.063_b0200
  article-title: A comparative study and ABAQUS implementation of conventional and localizing gradient enhanced damage models
  publication-title: Finite Elem Anal Des
  doi: 10.1016/j.finel.2019.04.001
– volume: 08
  start-page: 293
  year: 1998
  ident: 10.1016/j.istruc.2020.12.063_b0190
  article-title: Wave propagation and localization in nonlocal and gradient-enhanced damage models
  publication-title: J De Phys IV
– volume: 15
  start-page: 991
  issue: 3
  year: 2017
  ident: 10.1016/j.istruc.2020.12.063_b0180
  article-title: Fiber beam–column element model considering reinforcement anchorage slip in the footing
  publication-title: Bull Earthquake Eng
  doi: 10.1007/s10518-016-9987-3
– volume: 25
  start-page: 845
  issue: 6
  year: 1987
  ident: 10.1016/j.istruc.2020.12.063_b0025
  article-title: Nonlinear analysis of reinforced concrete plate and shell structures using 20-noded isoperimetric brick elements
  publication-title: Comput Sruct
  doi: 10.1016/0045-7949(87)90200-8
– ident: 10.1016/j.istruc.2020.12.063_b0130
– volume: 124
  start-page: 521
  year: 2016
  ident: 10.1016/j.istruc.2020.12.063_b0235
  article-title: A nonlinear quadrilateral layered membrane element with drilling degrees of freedom for the modeling of reinforced concrete walls
  publication-title: Eng Struct
  doi: 10.1016/j.engstruct.2016.06.024
– ident: 10.1016/j.istruc.2020.12.063_b0285
– volume: 35
  start-page: 521
  issue: 3
  year: 1992
  ident: 10.1016/j.istruc.2020.12.063_b0230
  article-title: Gradient-dependent plasticity: Formulation and algorithmic aspects
  publication-title: Int J Numer Meth Engng
  doi: 10.1002/nme.1620350307
– volume: 127
  start-page: 510
  year: 2016
  ident: 10.1016/j.istruc.2020.12.063_b0250
  article-title: Long-term performance of prestressed concrete bridges under the intertwined effects of concrete damage, static creep and traffic-induced cyclic creep
  publication-title: Eng Struct
  doi: 10.1016/j.engstruct.2016.09.004
– volume: 95
  start-page: 195
  issue: 1
  year: 1999
  ident: 10.1016/j.istruc.2020.12.063_b0270
  article-title: Effect of strain gradients on the size effect of concrete in uniaxial tension
  publication-title: Int J Fract
  doi: 10.1023/A:1018652302261
– volume: 110
  start-page: 503
  year: 2016
  ident: 10.1016/j.istruc.2020.12.063_b0220
  article-title: Localizing gradient damage model with decreasing interactions
  publication-title: Int J Numer Meth Eng
  doi: 10.1002/nme.5364
– volume: 126
  start-page: 1070
  issue: 9
  year: 2000
  ident: 10.1016/j.istruc.2020.12.063_b0265
  article-title: Disturbed stress field model for reinforced concrete: formulation
  publication-title: J Struct Eng
  doi: 10.1061/(ASCE)0733-9445(2000)126:9(1070)
– volume: 91
  start-page: 261
  issue: 3
  year: 1994
  ident: 10.1016/j.istruc.2020.12.063_b0195
  article-title: Reinforced concrete shell elements subjected to bending and membrane loads
  publication-title: ACI Struct J
– volume: 55
  start-page: 581
  issue: 4
  year: 1995
  ident: 10.1016/j.istruc.2020.12.063_b0050
  article-title: Comparison of nonlocal approaches in continuum damage mechanics
  publication-title: Comput Struct
  doi: 10.1016/0045-7949(94)00501-S
– ident: 10.1016/j.istruc.2020.12.063_b0225
– year: 2003
  ident: 10.1016/j.istruc.2020.12.063_b0110
– volume: 30
  start-page: 3167
  issue: 11
  year: 2008
  ident: 10.1016/j.istruc.2020.12.063_b0160
  article-title: Seismic simulation of RC wall-type structures
  publication-title: Eng Struct
  doi: 10.1016/j.engstruct.2008.04.033
– volume: 105
  start-page: 280
  issue: 3
  year: 2008
  ident: 10.1016/j.istruc.2020.12.063_b0245
  article-title: Reinforcement slip in reinforced concrete columns
  publication-title: ACI Struct J
– ident: 10.1016/j.istruc.2020.12.063_b0005
  doi: 10.1115/1.3173674
– volume: 131
  start-page: 54
  issue: 1
  year: 2005
  ident: 10.1016/j.istruc.2020.12.063_b0115
  article-title: Behavior of reinforced concrete elements under cyclic shear. II: Theoretical Model
  publication-title: J Struct Eng
  doi: 10.1061/(ASCE)0733-9445(2005)131:1(54)
– volume: 99
  start-page: 460
  year: 2002
  ident: 10.1016/j.istruc.2020.12.063_b0075
  article-title: Softened membrane model for reinforced concrete elements in shear
  publication-title: ACI Struct J
– volume: 98
  start-page: 391
  issue: 6
  year: 2014
  ident: 10.1016/j.istruc.2020.12.063_b0070
  article-title: The incorporation of gradient damage models in shell elements
  publication-title: Int J Numer Meth Engng
  doi: 10.1002/nme.4640
– volume: 110
  start-page: 518
  issue: 4
  year: 1984
  ident: 10.1016/j.istruc.2020.12.063_b0010
  article-title: Size Effect in Blunt Fracture: Concrete, Rock, Metal
  publication-title: J Eng Mech
  doi: 10.1061/(ASCE)0733-9399(1984)110:4(518)
– volume: 183
  start-page: 87
  issue: 1-2
  year: 2000
  ident: 10.1016/j.istruc.2020.12.063_b0090
  article-title: An anisotropic gradient damage model for quasi-brittle materials
  publication-title: Comput Methods Appl Mech Eng
  doi: 10.1016/S0045-7825(99)00213-3
– ident: 10.1016/j.istruc.2020.12.063_b0105
– volume: 103
  start-page: 72
  year: 2017
  ident: 10.1016/j.istruc.2020.12.063_b0275
  article-title: A unified phase-field theory for the mechanics of damage and quasi-brittle failure
  publication-title: J Mech Phys Solids
  doi: 10.1016/j.jmps.2017.03.015
– volume: 42
  start-page: 5335
  issue: 20
  year: 2005
  ident: 10.1016/j.istruc.2020.12.063_b0290
  article-title: Shear banding analysis of geomaterials by strain gradient enhanced damage model
  publication-title: Int J Solids Struct
  doi: 10.1016/j.ijsolstr.2005.02.029
– volume: 82
  start-page: 877
  issue: 6
  year: 1985
  ident: 10.1016/j.istruc.2020.12.063_b0020
  article-title: Constitutive Model for Cracked Reinforced Concrete
  publication-title: ACI Struct J
– volume: 3
  start-page: 305
  issue: 4
  year: 1998
  ident: 10.1016/j.istruc.2020.12.063_b0135
  article-title: A multilayered mixed beam element in gradient plasticity for the analysis of localized failure modes
  publication-title: Mech Cohes-Frict Mater
  doi: 10.1002/(SICI)1099-1484(1998100)3:4<305::AID-CFM49>3.0.CO;2-G
– volume: 92
  start-page: 562
  year: 1995
  ident: 10.1016/j.istruc.2020.12.063_b0015
  article-title: Constitutive laws of softened concrete in biaxial tension compression
  publication-title: ACI Struct J
– ident: 10.1016/j.istruc.2020.12.063_b0065
– year: 1973
  ident: 10.1016/j.istruc.2020.12.063_b0140
  article-title: Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending
  publication-title: Proc of IABSE symposium
– volume: 38
  start-page: 637
  issue: 5-6
  year: 1991
  ident: 10.1016/j.istruc.2020.12.063_b0080
  article-title: Nonlinear finite element analysis of reinforced concrete plates and shells under monotonic loading
  publication-title: Comput Struct
  doi: 10.1016/0045-7949(91)90015-E
– ident: 10.1016/j.istruc.2020.12.063_b0040
– ident: 10.1016/j.istruc.2020.12.063_b0060
  doi: 10.1002/nag.2180
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Snippet •Unite localizing gradient-enhanced concrete model and Menegotto-Pinto steel model.•Propose eight-node quadrilateral layered membrane elements enhanced with...
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StartPage 455
SubjectTerms Drilling
Gradient damage
Layered
Membrane
Smeared
Title Incorporation of localizing gradient-enhanced damage model into layered membrane elements for reinforced concrete structures subject to in-plane loading
URI https://dx.doi.org/10.1016/j.istruc.2020.12.063
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