On the dynamical theory of thermoelastic simple shells

被引：9

作者：

Birsan, Mircea ^{[1
]}

Altenbach, Holm ^{[2
]}

机构：

[1] Univ AI Cuza, Dept Math, Iasi 700506, Romania

[2] Univ Halle Wittenberg, Zentrum Ingenieurwissensch, Lehrstuhl Tech Mech, D-06099 Halle, Saale, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 06期

关键词：

Thermoelastic shells; directed surfaces; uniqueness; continuous dependence; existence of solution; ELASTIC SHELLS; PLATES; EXISTENCE;

D O I：

10.1002/zamm.201000057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a mathematical study of the equations of motion for orthotropic thermoelastic simple shells. We use a direct approach to the mechanics of thin shells, in which the shell-like body is modeled as a deformable surface endowed with a triad of orthonormal vectors connected with each material point. The thermal effects are described by introducing two temperature fields which represent the temperature on the two major faces of the three-dimensional shell. In the framework of the linear theory, we establish first the uniqueness of solution to the associated boundary-initial-value problem. Then we prove the properties of reciprocity, we give a variational characterization, and we investigate the continuous dependence of solutions on the external data. Finally, we present an existence result for the weak solutions to the equations of motion of thermoelastic simple shells. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：443 / 457

页数：15

共 31 条

[1]

Achenbach J. A., 2003, Reciprocity in Elastodynamics

[2]

Altenbach H, 2004, LN APP C M, V16, P1

[3] An alternative determination of transverse shear stiffnesses for sandwich and laminated plates [J].