On basic problems for elastic prismatic shells with microtemperatures

被引：12

作者：

Jaiani, George ^{[1
,2
]}

Bitsadze, Lamara ^{[3
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 2 Univ St, Tbilisi 0186, Georgia

[2] I Javakhishvili Tbilisi State Univ, Dept Math, 2 Univ St, Tbilisi 0186, Georgia

[3] I Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 2 Univ St, Tbilisi 0186, Georgia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2016年 / 96卷 / 09期

基金：

美国国家科学基金会;

关键词：

Thermoelasticity with microtemperatures; cusped prismatic shells; hierarchical models; existence and uniqueness theorems; explicit solutions; boundary value problems; HEAT-CONDUCTION; THERMOELASTICITY; THERMODYNAMICS; CONTINUUM;

D O I：

10.1002/zamm.201400172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper on the basis of the linear theory of thermoelasticity of homogeneous isotropic bodies with microtemperatures the zeroth order approximation of hierarchical models of elastic prismatic shells with microtemperatures in the case of constant thickness (but, in general, with bent face surfaces) is considered. The existence and uniqueness of solutions of basic boundary value problems when the projections of the bodies under consideration are bounded and unbounded domains with closed contours are established. The ways of solving boundary value problems in explicit forms and of their numerical solution are indicated. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1082 / 1088

页数：7

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