Dynamics for Systems of Screw Dislocations
Dynamics for Systems of Screw Dislocations
复制标题
螺旋位错系统的动力学
DOI：
10.1137/140980065
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
M. Morandotti
中科院分区：
文献类型：
--
作者：
Timothy Blass;I. Fonseca;G. Leoni;M. Morandotti
本文的目标是分析验证的模型Cermelli和Gurtin [拱。机械肛门，148（1999），pp. 3--52]给出了反平面剪切假设下螺型位错系统的演化规律。位错的运动被限制在一组离散的滑移方向上，这是材料的特性。演化规律由“最大耗散准则”给出，从而得到一个微分包含系统。证明了解的短时存在性、唯一性、交叉滑移性和精细交叉滑移性。
The goal of this paper is the analytical validation of a model of Cermelli and Gurtin [Arch. Ration. Mech. Anal., 148 (1999), pp. 3--52] for an evolution law for systems of screw dislocations under the assumption of antiplane shear. The motion of the dislocations is restricted to a discrete set of glide directions, which are properties of the material. The evolution law is given by a “maximal dissipation criterion,” leading to a system of differential inclusions. Short time existence, uniqueness, cross-slip, and fine cross-slip of solutions are proved.
影响因子：
5.3
作者：
Yichao Zhu;S. Chapman;A. Acharya
通讯作者：
Yichao Zhu;S. Chapman;A. Acharya