Thermoelastic wave propagation in inhomogeneous media

被引：33

作者：

Berezovski, A ^{[1
]}

Engelbrecht, J

Maugin, GA

机构：

[1] Tallinn Univ Technol, Inst Cybernet, Dept Mech & Appl Math, EE-12618 Tallinn, Estonia

[2] Univ Paris 06, Modelisat Mecan Lab, UMR 7607, F-75252 Paris 05, France

来源：

ARCHIVE OF APPLIED MECHANICS | 2000年 / 70卷 / 10期

关键词：

thermoelastic wave; numerical simulation; discrete system;

D O I：

10.1007/s004190000114

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A novel approach to the modeling of thermoelastic wave propagation is presented, based on the thermodynamics of discrete systems. The first novelty includes the representation of integral balance laws for thermoelasticity in terms of contact quantities that describe the nonequilibrium state of elements. The next ne iv aspect is a modification of the recently proposed wave-propagation algorithm, which is used as a tool for determining the contact quantities in a finite-volume scheme for the numerical simulation of two-dimensional thermoelastic wave propagation in inhomogeneous media. Such a modification is needed to provide the satisfaction of the thermodynamic consistency conditions between adjacent discrete elements. Results of computations for certain test problems show the efficiency and physical consistency of the algorithm.

引用

页码：694 / 706

页数：13

共 18 条

[1]

[Anonymous], ARI INT J PHYS ENG S

[2]

Berezovski A., 1996, Proceedings of the Estonian Academy of Sciences (Engineering), V2, P196

[3]

Berezovski A., 1997, Proceedings of the Estonian Academy of Sciences. Physics, Mathematics, V46, P5

[4] Simulation of non-linearheat conduction by means of thermodynamics-based algorithm [J].