Numerical solution of a thermoelastic problem for an infinite body with a spherical cavity

1981 ◽  
Vol 17 (3) ◽  
pp. 229-233 ◽  
Author(s):  
V. G. Gribanov ◽  
N. G. Panichkin
Keyword(s):  
Numerical Solution ◽  
Spherical Cavity ◽  
Thermoelastic Problem ◽  
Infinite Body

Numerical Solution of the Poisson–Boltzmann Equation for a Spherical Cavity

2002 ◽  
Vol 251 (1) ◽  
pp. 85-93 ◽  
Author(s):  
José Juan López-Garcı́a ◽  
José Horno ◽  
Constantino Grosse
Keyword(s):  
Boltzmann Equation ◽  
Numerical Solution ◽  
Spherical Cavity ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

A NUMERICAL SOLUTION FOR THE COUPLED QUASI-STATIC LINEAR THERMOELASTIC PROBLEM

1991 ◽  
Vol 14 (3) ◽  
pp. 333-349 ◽  
Author(s):  
NAJIB A. KASTI ◽  
JACOB LUBLINER ◽  
ROBERT L. TAYLOR
Keyword(s):  
Numerical Solution ◽  
Thermoelastic Problem

Transient Thermoelastic Problem for an Infinite Medium With a Spherical Cavity Exhibiting Temperature-Dependent Properties

1962 ◽  
Vol 29 (2) ◽  
pp. 399-407 ◽  
Author(s):  
Jerzy Nowinski
Keyword(s):  
Thermal Expansion ◽  
Shear Modulus ◽  
Perturbation Method ◽  
Temperature Rise ◽  
Spherical Cavity ◽  
Infinite Medium ◽  
Thermoelastic Problem ◽  
Linear Variation ◽  
Temperature Dependent ◽  
Temperature Dependent Properties

This paper is concerned with a polarly symmetric transient thermoelastic problem for an infinite medium with a spherical cavity, the boundary of the cavity being subjected to a sudden temperature rise. Thermal and elastic properties of the medium are assumed to be temperature dependent. Using the perturbation method general equations for the displacements and stresses corresponding to particular boundary-value problems have been found. An illustrative example, involving linear variation of conductivity and thermal expansion as well as quadratic variation of shear modulus with temperature, has been discussed in detail.

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