A sequential linear complementarity problem for multisurface plasticity
文献类型：期刊论文
| 作者 | Zhao, Rong1,2; Li, Chunguang1,2; Zhou, Lei1,2; Zheng, Hong3 |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 103页码:557-579 |
| 关键词 | Multisurface plasticity Return-mapping algorithm Lemke's algorithm Finite element method Nonlinear complementarity problem |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2021.11.003 |
| 英文摘要 | In this paper, a general algorithm is presented for the integration of multisurface plasticity models. The algorithm combines the return mapping with the technique of the sequential linear complementarity problem (SLCP) to update stress. The set of active constraints is naturally identified by the classical Lemke's algorithm. With the assumptions of isotropic linear elasticity, perfect plasticity, and the associated flow rule, all details are provided in matrix notations to facilitate computer implementation. The extension to hardening/softening multisurface plasticity models is also presented. The application of the algorithm is demonstrated via simulation of three types of geotechnical problems in 2D and 3D. Both linear and nonlinear multisurface plasticity models, e.g. Mohr-Coulomb and generalized Hoek-Brown yield criteria, are examined within the framework of the proposed algorithm. The numerical results are in good agreement with the analytic solutions. Moreover, the accuracy of the proposed stress integration procedure is investigated through 3D isoerror map. The convergence using the consistent tangent matrix at the global level is examined by a one-increment example consisting of one element. (c) 2021 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000729070200006 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/30913]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Li, Chunguang |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Rong,Li, Chunguang,Zhou, Lei,et al. A sequential linear complementarity problem for multisurface plasticity[J]. APPLIED MATHEMATICAL MODELLING,2022,103:557-579. |
| APA | Zhao, Rong,Li, Chunguang,Zhou, Lei,&Zheng, Hong.(2022).A sequential linear complementarity problem for multisurface plasticity.APPLIED MATHEMATICAL MODELLING,103,557-579. |
| MLA | Zhao, Rong,et al."A sequential linear complementarity problem for multisurface plasticity".APPLIED MATHEMATICAL MODELLING 103(2022):557-579. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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