期刊
INTERNATIONAL JOURNAL OF PLASTICITY
卷 23, 期 4, 页码 690-710出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2006.08.003
关键词
dislocations; crystal plasticity; finite elements; numerical algorithms; size dependent deformation
Several strain gradient plasticity formulations have been suggested in the literature to account for inherent size effects on length scales of microns and submicrons. The necessity of strain gradient related terms render the simulation with strain gradient plasticity formulation computationally very expensive because quadratic shape functions or mixed approaches in displacements and strains are usually applied. Approaches using linear shape functions have also been suggested which are, however, limited to regular meshes with equidistanced Finite Element nodes. As a result the majority of the simulations in the literature deal with plane problems at small strains. For the solution of general three dimensional problems at large strains an approach has to be found which has to be computationally affordable and robust. For this goal a strain gradient Finite Element approach is suggested where elements with linear shape functions are applied in combination with a patch projection technique well known from error indication and adaptive mesh procedures. This approach is applied to a strain gradient crystal plasticity formulation where strain gradients are incorporated in terms of geometrically necessary dislocation densities. Simulation results of size dependent problems, including laminates in simple shear and a three dimensional contact problem, are presented and discussed to assess the performance of the suggested approach. (c) 2006 Elsevier Ltd. All rights reserved.
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