Comparison of Two Time-Integration Algorithms for an Anisotropic Damage Model Coupled with Plasticity

In this work, two time integration algorithms for the anisotropic damage model proposed by Lemaitre et al. (2000) are compared. Specifically, the standard implicit Euler scheme is compared to an algorithm which implicitly solves the elasto-plastic evolution equations and explicitly computes the dama...

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Veröffentlicht in:Applied Mechanics and Materials Jg. 784; H. Damage Mechanics: Theory, Computation and Practice; S. 292 - 299
Hauptverfasser: Reese, Stefanie, Fassin, Marek, Wulfinghoff, Stephan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Zurich Trans Tech Publications Ltd 01.08.2015
Schlagworte:
Algorithms
Anisotropy
Bending
Damage assessment
Evolution
Mathematical analysis
Three dimensional
Time integration
Time Integration Algorithm
Anisotropic Damage
Plasticity
ISBN:9783038355502, 303835550X
ISSN:1660-9336, 1662-7482, 1662-7482
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Abstract In this work, two time integration algorithms for the anisotropic damage model proposed by Lemaitre et al. (2000) are compared. Specifically, the standard implicit Euler scheme is compared to an algorithm which implicitly solves the elasto-plastic evolution equations and explicitly computes the damage update. To this end, a three dimensional bending example is solved using the finite element method and the results of the two algorithms are compared for different time step sizes.
AbstractList In this work, two time integration algorithms for the anisotropic damage model proposed by Lemaitre et al. (2000) are compared. Specifically, the standard implicit Euler scheme is compared to an algorithm which implicitly solves the elasto-plastic evolution equations and explicitly computes the damage update. To this end, a three dimensional bending example is solved using the finite element method and the results of the two algorithms are compared for different time step sizes.
Author Fassin, Marek
Wulfinghoff, Stephan
Reese, Stefanie
Author_xml – givenname: Stefanie
  surname: Reese
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  surname: Wulfinghoff
  fullname: Wulfinghoff, Stephan
  email: stephan.wulfinghoff@ifam.rwth-aachen.de
  organization: Institute of Applied Mechanics
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Cites_doi 10.1016/0013-7944(87)90108-1
10.1061/(asce)0733-9399(1990)116:8(1764)
10.1007/978-94-009-6827-1_44
10.1002/nme.2861
10.4028/www.scientific.net/amm.784.217
10.1016/s0020-7683(01)00087-7
10.1515/ijnsns.2002.3.1.1
10.1115/1.3173674
10.1016/s0997-7538(00)00161-3
10.1016/0045-7949(94)00501-s
10.1002/cnm.597
10.1016/j.cma.2004.12.012
10.1007/BF00034895
10.1016/0020-7683(94)90112-0
10.1016/0029-5493(84)90169-9
10.1177/1056789507069541
10.1016/j.ijplas.2007.03.008
10.1002/nme.4387
10.1177/105678959700600401
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Issue Damage Mechanics: Theory, Computation and Practice
Keywords Time Integration Algorithm
Anisotropic Damage
Plasticity
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SubjectTerms Algorithms
Anisotropy
Bending
Damage assessment
Evolution
Mathematical analysis
Three dimensional
Time integration
Title Comparison of Two Time-Integration Algorithms for an Anisotropic Damage Model Coupled with Plasticity
URI https://www.scientific.net/AMM.784.292
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