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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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics Vol. 45; no. 16; pp. 2321 - 2370
Main Authors: Yamakawa, Yuki, Hashiguchi, Koichi, Sasaki, Tomohiro, Higuchi, Masaki, Sato, Kiyoshi, Kawai, Tadashi, Machishima, Tomohiro, Iguchi, Takuya
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 01.11.2021
Subjects:
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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Summary: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.
Bibliography: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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ISSN:0363-9061
1096-9853
DOI:10.1002/nag.3268