Implicit stress-update algorithm for isotropic Cam-clay model based on the subloading surface concept at finite strains

Yuki Yamakawa; Koichi Hashiguchi; Kiyohiro Ikeda

doi:10.1016/j.ijplas.2009.09.007

Implicit stress-update algorithm for isotropic Cam-clay model based on the subloading surface concept at finite strains

Yuki Yamakawa, Koichi Hashiguchi, Kiyohiro Ikeda

ENG - Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

A stress-update algorithm for the subloading surface Cam-clay model is developed. The model is re-formulated to be compatible with the multiplicative hyperelasto-plasticity for finite strains. The algorithm aims at synthesizing the phenomenological capability of the subloading surface model and the numerical advantage of the return mapping. A closed-form representation of the algorithmic tangent is also derived. The proposed algorithm is implemented into a finite-element code and is shown to be capable of producing accurate results even for large incremental steps. Numerical examples of boundary-value problems demonstrate the robustness of the algorithm.

Original language	English
Pages (from-to)	634-658
Number of pages	25
Journal	International Journal of Plasticity
Volume	26
Issue number	5
DOIs	https://doi.org/10.1016/j.ijplas.2009.09.007
Publication status	Published - 2010 May

Keywords

Cam-clay
Finite strain
Return mapping
Subloading surface

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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title = "Implicit stress-update algorithm for isotropic Cam-clay model based on the subloading surface concept at finite strains",

abstract = "A stress-update algorithm for the subloading surface Cam-clay model is developed. The model is re-formulated to be compatible with the multiplicative hyperelasto-plasticity for finite strains. The algorithm aims at synthesizing the phenomenological capability of the subloading surface model and the numerical advantage of the return mapping. A closed-form representation of the algorithmic tangent is also derived. The proposed algorithm is implemented into a finite-element code and is shown to be capable of producing accurate results even for large incremental steps. Numerical examples of boundary-value problems demonstrate the robustness of the algorithm.",

keywords = "Cam-clay, Finite strain, Return mapping, Subloading surface",

author = "Yuki Yamakawa and Koichi Hashiguchi and Kiyohiro Ikeda",

note = "Funding Information: The authors thank Dr. Seiichiro Tsutsumi at Kyushu University for his advice concerning the subloading surface plasticity, and Mr. Toshimitsu Fujisawa at Tohoku University for his enthusiastic support in the numerical analysis. This work was supported by Japan Society for the Promotion of Science (JSPS), Grant-in-Aid for Scientific Research (C), 2006–2007 , Grant No. 18560480 ; and by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists (B), 2008–2010 , Grant No. 20760311 . ",

year = "2010",

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doi = "10.1016/j.ijplas.2009.09.007",

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AU - Yamakawa, Yuki

AU - Hashiguchi, Koichi

AU - Ikeda, Kiyohiro

N1 - Funding Information: The authors thank Dr. Seiichiro Tsutsumi at Kyushu University for his advice concerning the subloading surface plasticity, and Mr. Toshimitsu Fujisawa at Tohoku University for his enthusiastic support in the numerical analysis. This work was supported by Japan Society for the Promotion of Science (JSPS), Grant-in-Aid for Scientific Research (C), 2006–2007 , Grant No. 18560480 ; and by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists (B), 2008–2010 , Grant No. 20760311 .

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N2 - A stress-update algorithm for the subloading surface Cam-clay model is developed. The model is re-formulated to be compatible with the multiplicative hyperelasto-plasticity for finite strains. The algorithm aims at synthesizing the phenomenological capability of the subloading surface model and the numerical advantage of the return mapping. A closed-form representation of the algorithmic tangent is also derived. The proposed algorithm is implemented into a finite-element code and is shown to be capable of producing accurate results even for large incremental steps. Numerical examples of boundary-value problems demonstrate the robustness of the algorithm.

AB - A stress-update algorithm for the subloading surface Cam-clay model is developed. The model is re-formulated to be compatible with the multiplicative hyperelasto-plasticity for finite strains. The algorithm aims at synthesizing the phenomenological capability of the subloading surface model and the numerical advantage of the return mapping. A closed-form representation of the algorithmic tangent is also derived. The proposed algorithm is implemented into a finite-element code and is shown to be capable of producing accurate results even for large incremental steps. Numerical examples of boundary-value problems demonstrate the robustness of the algorithm.

KW - Cam-clay

KW - Finite strain

KW - Return mapping

KW - Subloading surface

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