A theory of thermoelasticity with diffusion under Green-Naghdi models

被引：33

作者：

Aouadi, Moncef ^{[1
]}

Lazzari, Barbara ^{[2
]}

Nibbi, Roberta ^{[2
]}

机构：

[1] Univ Carthage, Inst Super Sci Appl & Technol Mateur, Dept Math & Comp Sci, Carthage, Tunisia

[2] Univ Bologna, Dept Math, I-40126 Bologna, Italy

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2014年 / 94卷 / 10期

关键词：

Thermoelastic diffusion; Green-Naghdi theory; well-posedness; asymptotic behavior; localization in time; UNIQUENESS; VOIDS; WAVES;

D O I：

10.1002/zamm.201300050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the Green-Naghdi theory of thermomechanics of continua to derive a nonlinear theory of thermoelasticity with diffusion of types II and III. This theory permits propagation of both thermal and diffusion waves at finite speeds. The equations of the linear theory are also obtained. With the help of the semigroup theory of linear operators we establish that the linear anisotropic problem is well posed and we study the asymptotic behavior of the solutions. Finally, we investigate the impossibility of the localization in time of solutions. The authors use the Green-Naghdi theory of thermomechanics of continua to derive a nonlinear theory of thermoelasticity with diffusion of types II and III. This theory permits propagation of both thermal and diffusion waves at finite speeds. The equations of the linear theory are also obtained. With the help of the semigroup theory of linear operators they establish that the linear anisotropic problem is well posed and they study the asymptotic behavior of the solutions.

引用

页码：837 / 852

页数：16

共 21 条

[1] Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation [J].