Global existence to a three-dimensional non-linear thermoelasticity system arising in shape memory materials
Global existence to a three-dimensional non-linear thermoelasticity system arising in shape memory materials
复制标题
形状记忆材料中三维非线性热弹性系统的整体存在
DOI：
10.1002/mma.574
复制
发表时间：
2005
影响因子：
2.9
通讯作者：
Wojciech M. Zaj czkowski
中科院分区：
文献类型：
--
作者：
I. ow;Wojciech M. Zaj czkowski
本文讨论了一个三维非线性热弹性系统的唯一整体可解性，该系统是由形状记忆材料的研究引起的。该系统由具有非凸弹性能的粘弹性和具有机械耗散的非线性热传导耦合演化问题组成。
本文将文献[1]中的二维存在性结果推广到三维情形.这个目标是通过Leray-Schauder不动点定理，使用基于能量参数和DeGiorgi方法的技术来实现的。版权所有© 2004年约翰威利父子有限公司。
This paper is concerned with the unique global solvability of a three-dimensional (3-D) non-linear thermoelasticity system arising from the study of shape memory materials. The system consists of the coupled evolutionary problems of viscoelasticity with non-convex elastic energy and non-linear heat conduction with mechanical dissipation.
The present paper extends the previous 2-D existence result of the authors Reference [1] to 3-D case. This goal is achieved by means of the Leray–Schauder fixed point theorem using technique based on energy arguments and DeGiorgi method. Copyright © 2004 John Wiley & Sons, Ltd.