Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain

This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return‐mapping scheme. The Cam‐clay plasticity model is adopted as a specific prototype model of geomaterials. As a per...

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Veröffentlicht in:International journal for numerical and analytical methods in geomechanics Jg. 45; H. 16; S. 2321 - 2370
Hauptverfasser: Yamakawa, Yuki, Hashiguchi, Koichi, Sasaki, Tomohiro, Higuchi, Masaki, Sato, Kiyoshi, Kawai, Tadashi, Machishima, Tomohiro, Iguchi, Takuya
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Bognor Regis Wiley Subscription Services, Inc 01.11.2021
Schlagworte:
Algorithms
Anisotropy
cam‐clay plasticity
Clay
Constitutive models
Decomposition
Deformation
Elastic deformation
Elastoplasticity
finite strain
Geomaterials
Hardening
Mathematical models
Plastic properties
Plasticity
Prototypes
return‐mapping algorithm
rotational hardening
Strain
Stress ratio
subloading surface concept
Tensors
ISSN:0363-9061, 1096-9853
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Abstract This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return‐mapping scheme. The Cam‐clay plasticity model is adopted as a specific prototype model of geomaterials. As a pertinent representation of deformation‐induced anisotropy in geomaterials, nonlinear rotational hardening is incorporated into the model in a theoretically reasonable manner by introducing the dual multiplicative decompositions of the deformation gradient tensor. In addition to the usual decomposition into elastic and plastic parts, the plastic part is decomposed further into a part contributing to the rotational hardening and a remainder part. The former part leads to a back stress ratio tensor related to the rotational hardening via a hyperelastic‐type hardening rule. The constitutive theory is thereby formulated on proper intermediate configurations entirely in terms of deformation‐like tensorial variables possessing invariance property, without resort to any objective rates of stress or stress‐like variables. Combining the Cam‐clay plasticity with the concept of subloading surface, a class of unconventional plasticity, enables the model to be capable of reproducing complex hardening/softening accompanied by volumetric contractive/dilative responses. Basic characteristics and predictive capability of the proposed model, as well as the accuracy of the developed numerical scheme, are verified through several numerical examples including monotonic and cyclic loadings.
AbstractList This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return‐mapping scheme. The Cam‐clay plasticity model is adopted as a specific prototype model of geomaterials. As a pertinent representation of deformation‐induced anisotropy in geomaterials, nonlinear rotational hardening is incorporated into the model in a theoretically reasonable manner by introducing the dual multiplicative decompositions of the deformation gradient tensor. In addition to the usual decomposition into elastic and plastic parts, the plastic part is decomposed further into a part contributing to the rotational hardening and a remainder part. The former part leads to a back stress ratio tensor related to the rotational hardening via a hyperelastic‐type hardening rule. The constitutive theory is thereby formulated on proper intermediate configurations entirely in terms of deformation‐like tensorial variables possessing invariance property, without resort to any objective rates of stress or stress‐like variables. Combining the Cam‐clay plasticity with the concept of subloading surface, a class of unconventional plasticity, enables the model to be capable of reproducing complex hardening/softening accompanied by volumetric contractive/dilative responses. Basic characteristics and predictive capability of the proposed model, as well as the accuracy of the developed numerical scheme, are verified through several numerical examples including monotonic and cyclic loadings.
This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return‐mapping scheme. The Cam‐clay plasticity model is adopted as a specific prototype model of geomaterials. As a pertinent representation of deformation‐induced anisotropy in geomaterials, nonlinear rotational hardening is incorporated into the model in a theoretically reasonable manner by introducing the dual multiplicative decompositions of the deformation gradient tensor. In addition to the usual decomposition into elastic and plastic parts, the plastic part is decomposed further into a part contributing to the rotational hardening and a remainder part. The former part leads to a back stress ratio tensor related to the rotational hardening via a hyperelastic‐type hardening rule. The constitutive theory is thereby formulated on proper intermediate configurations entirely in terms of deformation‐like tensorial variables possessing invariance property, without resort to any objective rates of stress or stress‐like variables. Combining the Cam‐clay plasticity with the concept of subloading surface, a class of unconventional plasticity, enables the model to be capable of reproducing complex hardening/softening accompanied by volumetric contractive/dilative responses. Basic characteristics and predictive capability of the proposed model, as well as the accuracy of the developed numerical scheme, are verified through several numerical examples including monotonic and cyclic loadings.
Author Higuchi, Masaki
Hashiguchi, Koichi
Machishima, Tomohiro
Sato, Kiyoshi
Sasaki, Tomohiro
Iguchi, Takuya
Yamakawa, Yuki
Kawai, Tadashi
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  fullname: Yamakawa, Yuki
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  organization: Tohoku University
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  givenname: Koichi
  orcidid: 0000-0003-1830-7767
  surname: Hashiguchi
  fullname: Hashiguchi, Koichi
  organization: Kyushu University
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  givenname: Tomohiro
  surname: Sasaki
  fullname: Sasaki, Tomohiro
  organization: Obayashi Corporation
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  givenname: Masaki
  surname: Higuchi
  fullname: Higuchi, Masaki
  organization: Obayashi Corporation
– sequence: 5
  givenname: Kiyoshi
  surname: Sato
  fullname: Sato, Kiyoshi
  organization: Obayashi Corporation
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  givenname: Tadashi
  surname: Kawai
  fullname: Kawai, Tadashi
  organization: Tohoku University
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  givenname: Tomohiro
  surname: Machishima
  fullname: Machishima, Tomohiro
  organization: Tohoku University
– sequence: 8
  givenname: Takuya
  surname: Iguchi
  fullname: Iguchi, Takuya
  organization: Tohoku University
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Notes Present Address
Current affiliation of T. Machishima: JIP Techno Science Corporation, Chiyoda‐ku, Tokyo, Japan. Current affiliation of T. Iguchi: Engineering Technology Division, Harumi Toriton Office, JSOL Corporation, Chuo‐ku, Tokyo, Japan.
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Snippet This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based...
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SubjectTerms Algorithms
Anisotropy
cam‐clay plasticity
Clay
Constitutive models
Decomposition
Deformation
Elastic deformation
Elastoplasticity
finite strain
Geomaterials
Hardening
Mathematical models
Plastic properties
Plasticity
Prototypes
return‐mapping algorithm
rotational hardening
Strain
Stress ratio
subloading surface concept
Tensors
Title Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain
URI https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fnag.3268
https://www.proquest.com/docview/2578955057
Volume 45
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