Dynamics of chains with non-monotone stress-strain relations. II. Nonlinear waves and waves of phase transition

被引：46

作者：

Balk, AM

Cherkaev, AV ^{[1
]}

Slepyan, LI

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Tel Aviv Univ, Dept Solid Mech Mat & Struct, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2001年 / 49卷 / 01期

关键词：

phase transformations; dynamics; variational principles; constitutive behaviour;

D O I：

10.1016/S0022-5096(00)00026-0

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the dynamics of a one dimensional mass-spring chain with non-monotone dependence of the spring force vs. spring elongation. For this strongly nonlinear system we find a family of exact solutions that represent nonlinear waves. We have found numerically that this system displays a dynamical phase transition from the stationary phase (when all masses are at rest) to the twinkling phase (when the masses oscillate in a wave motion). This transition has two fronts which propagate with different speeds, We study this phase transition analytically and derive relations between its quantitative characteristics. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：149 / 171

页数：23