摘要:

We study finite deformations of heat conducting viscous dielectric solids and derive constitutive relations that satisfy an entropy inequality. These are simplified for orthotopic, transversely isotropic, and isotropic materials. For each class of materials, linear constitutive relations valid for infinitesimal deformations are derived.

ISSN:0149-5739    

DOI:10.1080/01495739608946185

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

This article is dedicated to the uniqueness of a solution of the initial boundary value problem in elastodynamics of dipolar bodies with voids. The proofs of theorems are obtained without recourse either to an energy conservation law or to any boundedness assumptions on the elastic coefficients.

ISSN:0149-5739    

DOI:10.1080/01495739608946186

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

The ray method for solving dynamic boundary value problems for nonlinear thermo-elastic media, wherein heat propagates with a finite speed, is developed. By the action of initial and boundary conditions, two types of finite amplitude shock wave propagate in such media: quasi-thermal wave (fast wave) and quasi-longitudinal wave (slow wave). Behind the wave fronts the solution for the desired functions is constructed along the rays in terms of power series (ray series) whose coefficients are the discontinuities in various orders of partial derivatives of the functions to be found with respect to time, but a variable value is the time needed for a disturbance to propagate along the ray from the point under consideration up to the wave front; in so doing the power of the variable value corresponds to the order of the partial time-derivative of the desired function.

ISSN:0149-5739    

DOI:10.1080/01495739608946187

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

This article is concerned with the investigation of a two-dimensional thermo-visco-elastic problem of an infinitely extended thin plate containing a circular hole. The material is a viscoelastic solid of Kelvin-Voigt type. The formulation of the problem is based on the generalized theory of thermoelasticity proposed by Lord and Shulman. The inner boundary of the hole in the plate is stressfree and is subjected to a step rise in temperature. Laplace transform technique is applied to obtain the short-time approximations for the distribution of displacement, temperature, and stresses. It is observed that the deformation and the radial stress are continuous at the thermal wave front, while the temperature and the hoop stress suffer discontinuities at the thermal wave front. The discontinuities at the wave front of various fields have also been analyzed. Using PC the numerical values of the displacement, temperature, and stresses at different points are computed numerically and the results are displayed graphically for an appropriate material for illustration.

ISSN:0149-5739    

DOI:10.1080/01495739608946188

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

In this article a method of an approximate solution of a parabolic initial boundary value problem is presented. As an example the heat conduction equation is considered. This method consists of introducing some fictitious heat sources outside the region under consideration and choosing some points at the boundary of the region where the boundary conditions are strictly satisfied. The intensities of the sources are assumed to vary stepwise in time. The method may also be applied to the solution of inverse problems of heat conduction. Numerical results are given for some illustrative problems.

ISSN:0149-5739    

DOI:10.1080/01495739608946189

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

Thermoelastic interactions caused in a homogeneous and isotropic infinite body with a spherical cavity are considered for the two different theories of generalized thermoelasticity, that is, Lord, and Shulman's theory and Green and Lindsay's theory. Analytical expressions for the temperature, displacement, and thermal stress fields are obtained; and the results are compared with the classical dynamical coupled theory.

ISSN:0149-5739    

DOI:10.1080/01495739608946190

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

ISSN:0149-5739    

DOI:10.1080/01495739608946191

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor