TY - JOUR
T1 - Anisotropic subloading surface Cam-clay plasticity model with rotational hardening
T2 - Deformation gradient-based formulation for finite strain
AU - Yamakawa, Yuki
AU - Hashiguchi, Koichi
AU - Sasaki, Tomohiro
AU - Higuchi, Masaki
AU - Sato, Kiyoshi
AU - Kawai, Tadashi
AU - Machishima, Tomohiro
AU - Iguchi, Takuya
N1 - Funding Information:
The authors wish to thank Mr. Yutaka Chida, Mr. Masato Oshio, Mr. Yuto Sato, and Mr. Naoto Koyama at Tohoku University for their enthusiastic support in the numerical analysis. The authors are also grateful to Dr. Shunichi Higuchi, Mr. Koji Ito, and Mr. Ryosuke Oka of Obayashi Corporation for their constructive suggestions and helpful supports. This work was funded by Japan Society for the Promotion of Science (JSPS), KAKENHI, Grant‐in‐Aid for Scientific Research (C), Grant Number JP19K04566.
Funding Information:
The authors wish to thank Mr.?Yutaka?Chida, Mr.?Masato?Oshio, Mr.?Yuto?Sato, and Mr.?Naoto?Koyama at Tohoku University for their enthusiastic support in the numerical analysis. The authors are also grateful to Dr.?Shunichi?Higuchi, Mr.?Koji?Ito, and Mr.?Ryosuke?Oka of Obayashi Corporation for their constructive suggestions and helpful supports. This work was funded by Japan Society for the Promotion of Science (JSPS), KAKENHI, Grant-in-Aid for Scientific Research?(C), Grant Number?JP19K04566.
Publisher Copyright:
© 2021 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.
PY - 2021/11
Y1 - 2021/11
N2 - 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.
AB - 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.
KW - anisotropy
KW - cam-clay plasticity
KW - finite strain
KW - return-mapping algorithm
KW - rotational hardening
KW - subloading surface concept
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U2 - 10.1002/nag.3268
DO - 10.1002/nag.3268
M3 - Article
AN - SCOPUS:85112644048
VL - 45
SP - 2321
EP - 2370
JO - International Journal for Numerical and Analytical Methods in Geomechanics
JF - International Journal for Numerical and Analytical Methods in Geomechanics
SN - 0363-9061
IS - 16
ER -