Elasto-viscoplastic consistent tangent operator concept-based implicit boundary element methods

Yong Liu; Glaucio H. Paulino; Lihua Liang

doi:10.1007/BF02916885

Elasto-viscoplastic consistent tangent operator concept-based implicit boundary element methods

Yong Liu, Glaucio H. Paulino, Lihua Liang

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

2 Scopus citations

Abstract

An elasto-viscoplastic consistent tangent operator (CTO) concept-based implicit algorithm for nonlinear boundary element methods is presented. Both kinematic and isotropic strain hardening are considered. The elasto-viscoplastic radial return algorithm (RRA) and the elasto-viscoplastic CTO and its related scheme are developed. In addition, the limit cases (e.g. elastoplastic problem) of viscoplastic RRA and CTO are discussed. Finally, numerical examples, which are compared with the latest FEM results of Ibrahimbegovic et al. and ABAQUS results, are provided.

Original language	English (US)
Pages (from-to)	154-164
Number of pages	11
Journal	Science in China, Series E: Technological Sciences
Volume	43
Issue number	2
DOIs	https://doi.org/10.1007/BF02916885
State	Published - Apr 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Materials Science
General Engineering

Keywords

Boundary element method
Computational mechanics
Consistent tangent operator (CTO)
Elasto-viscoplasticity
Implicit algorithm

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10.1007/BF02916885

Cite this

@article{b7a12d65674343ce952c31c54ecf361a,

title = "Elasto-viscoplastic consistent tangent operator concept-based implicit boundary element methods",

abstract = "An elasto-viscoplastic consistent tangent operator (CTO) concept-based implicit algorithm for nonlinear boundary element methods is presented. Both kinematic and isotropic strain hardening are considered. The elasto-viscoplastic radial return algorithm (RRA) and the elasto-viscoplastic CTO and its related scheme are developed. In addition, the limit cases (e.g. elastoplastic problem) of viscoplastic RRA and CTO are discussed. Finally, numerical examples, which are compared with the latest FEM results of Ibrahimbegovic et al. and ABAQUS results, are provided.",

keywords = "Boundary element method, Computational mechanics, Consistent tangent operator (CTO), Elasto-viscoplasticity, Implicit algorithm",

author = "Yong Liu and Paulino, {Glaucio H.} and Lihua Liang",

note = "Funding Information: Acknowledgements The first author particularly thanks Dr. S. Mukherjee and Dr. H. Poon of Cornell University for their helpful discussion and help. This work was supported by the Zhejiang Natural Science Foundation Special Funds (Grant No. Re. 9601) and US National Science Foundation (NSF) (Grant No. CNS-9713008).",

year = "2000",

month = apr,

doi = "10.1007/BF02916885",

language = "English (US)",

volume = "43",

pages = "154--164",

journal = "Science in China, Series E: Technological Sciences",

issn = "1006-9321",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - Elasto-viscoplastic consistent tangent operator concept-based implicit boundary element methods

AU - Liu, Yong

AU - Paulino, Glaucio H.

AU - Liang, Lihua

N1 - Funding Information: Acknowledgements The first author particularly thanks Dr. S. Mukherjee and Dr. H. Poon of Cornell University for their helpful discussion and help. This work was supported by the Zhejiang Natural Science Foundation Special Funds (Grant No. Re. 9601) and US National Science Foundation (NSF) (Grant No. CNS-9713008).

PY - 2000/4

Y1 - 2000/4

N2 - An elasto-viscoplastic consistent tangent operator (CTO) concept-based implicit algorithm for nonlinear boundary element methods is presented. Both kinematic and isotropic strain hardening are considered. The elasto-viscoplastic radial return algorithm (RRA) and the elasto-viscoplastic CTO and its related scheme are developed. In addition, the limit cases (e.g. elastoplastic problem) of viscoplastic RRA and CTO are discussed. Finally, numerical examples, which are compared with the latest FEM results of Ibrahimbegovic et al. and ABAQUS results, are provided.

AB - An elasto-viscoplastic consistent tangent operator (CTO) concept-based implicit algorithm for nonlinear boundary element methods is presented. Both kinematic and isotropic strain hardening are considered. The elasto-viscoplastic radial return algorithm (RRA) and the elasto-viscoplastic CTO and its related scheme are developed. In addition, the limit cases (e.g. elastoplastic problem) of viscoplastic RRA and CTO are discussed. Finally, numerical examples, which are compared with the latest FEM results of Ibrahimbegovic et al. and ABAQUS results, are provided.

KW - Boundary element method

KW - Computational mechanics

KW - Consistent tangent operator (CTO)

KW - Elasto-viscoplasticity

KW - Implicit algorithm

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DO - 10.1007/BF02916885

M3 - Article

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VL - 43

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EP - 164

JO - Science in China, Series E: Technological Sciences

JF - Science in China, Series E: Technological Sciences

IS - 2

ER -

Elasto-viscoplastic consistent tangent operator concept-based implicit boundary element methods

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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