期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 192, 期 26-27, 页码 2823-2843出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(03)00260-3
关键词
martensitic phase transitions; relaxation; rank-one convexity; microstructure; sequential lamination; shape-memory alloys; indentation
We present a practical algorithm for partially relaxing multiwell energy densities such as pertain to materials undergoing martensitic phase transitions. The algorithm is based on sequential lamination, but the evolution of the microstructure during a deformation process is required to satisfy a continuity constraint, in the sense that the new microstructure should be reachable from the preceding one by a combination of branching and pruning operations. All microstructures generated by the algorithm are in static and configurational equilibrium. Owing to the continuity constraint imposed upon the microstructural evolution, the predicted material behavior may be path-dependent and exhibit hysteresis. In cases in which there is a strict separation of micro- and macrostructural lengthscales, the proposed relaxation algorithm may effectively be integrated into macroscopic finite-element calculations at the sub-grid level. We demonstrate this aspect of the algorithm by means of a numerical example concerned with the indentation of a Cu-Al-Ni shape memory alloy by a spherical indenter. (C) 2003 Elsevier B.V. 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