期刊
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
卷 96, 期 11, 页码 1318-1338出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.201500305
关键词
Elastoplasticity; nonsmooth yield surface; multivalued flow direction; implicit return-mapping scheme; semismooth Newton method; limit analysis
资金
- Czech Science Foundation [13-18652S]
- Czech Ministry of Education, Youth and Sports - National Programme of Sustainability (NPU II) project IT4Innovations excellence in science [LQ1602]
In this paper we explore a numerical solution to elastoplastic constitutive initial value problems. An improved form of the implicit return-mapping scheme for nonsmooth yield surfaces is proposed that systematically builds upon a subdifferential formulation of the flow rule. The main advantage of this approach is that the treatment of singular points - apices or edges at which the flow direction is multivalued - only involves a uniquely defined set of non-linear equations, similarly to smooth yield surfaces. This paper focuses on isotropic models containing: a) yield surfaces with one or two apices (singular points) on the hydrostatic axis, b) plastic pseudo-potentials that are independent of the Lode angle, and c) possibly nonlinear isotropic hardening. We show that for some models the improved integration scheme also enables us to a priori decide about a type of the return and to investigate the existence, uniqueness, and semismoothness of discretized constitutive operators. The semismooth Newton method is also introduced for solving the incremental boundary-value problems. The paper contains numerical examples related to slope stability with publicly available Matlab implementations. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据