Steady Thermoelasticity Research Articles

A Finite Element Formulation for the Determination of Unknown Boundary Conditions for Three-Dimensional Steady Thermoelastic Problems

A three-dimensional finite element method (FEM) formulation for the prediction of unknown boundary conditions in linear steady thermoelastic continuum problems is presented. The present FEM formulation is capable of determining displacements, surface stresses, temperatures, and heat fluxes on the boundaries where such quantities are unknown or inaccessible, provided such quantities are sufficiently over-specified on other boundaries. The method can also handle multiple material domains and multiply connected domains with ease. A regularized form of the method is also presented. The regularization is necessary for solving problems where the over-specified boundary data contain errors. Several regularization approaches are shown. The inverse FEM method described is an extension of a method previously developed by the leading authors for two-dimensional steady thermoelastic inverse problems and three-dimensional thermal inverse problems. The method is demonstrated for several three-dimensional test cases involving simple geometries although it is applicable to arbitrary three-dimensional configurations. Several different solution techniques for sparse rectangular systems are briefly discussed.

The plane contact problem of steady thermoelasticity taking heat generation into account

The plane steady contact problem of thermoelasticity when there is heat generation from friction, which arises when an infinite cylindrical punch moves over the surface of an elastic half-space along its generatrix, is considered. It is assumed that heat exchange between the free boundary of the half-space and the surrounding medium obeys Newton's law, while the condition for ideal thermal contact exists in the region in which the solids interact. The problem is reduced to a system of three integral equations in the heat fluxes and temperature. The effect of the thermal and mechanical properties of the cylinder and the half-space on the main contact characteristics is investigated numerically.

AXISYMMETRIC THERMAL STRESS ANALYSIS IN THE STEADY STATE WITH HEAT GENERATION IN THE REGION BY BOUNDARY ELEMENT METHOD

The boundary element method (BEM) does not require a domain integral in steady thermoelastic problems without heat generation. However, in problems with heat generation, the domain integral is necessary. This article shows that the axisymmetric problem of steady thermoelasticity with nonuniform heat generation over the region can be easily solved without a domain integral by means of BEM. This method can also be applied to steady thermal stress problems under complicated general heat generation. However, for general heat generation the domain must be divided into small areas in which distributions of the heat generation approximately satisfy the Laplace equation.

TWO-DIMENSIONAL THERMAL STRESS ANALYSIS UNDER STEADY STATE WITH HEAT GENERATION IN THE REGION BY BOUNDARY ELEMENT METHOD

The boundary element method (BEM) does not require the domain integral in steady thermoelastic problems without heat generation; but in problems with heat generation, the domain integral is necessary in previous formulation. This paper shows that the problems of steady thermoelasticity under nonuniform heat generation over the region can easily be solved without the region integral by means of the boundary element method in the authors' formulation. However, for the case of general complicated heat generation the domain must be divided into small areas, where distributions of heat generation satisfy the Laplace equations.

Three-Dimensional Thermal Stress Analysis under Steady State with Heat Generation in the Region by Boundary Element Method.

The boundary element method (BEM) does not require a domain integral for steady thermoelastic problems without heat generation. However, with heat generation, the domain integral is necessary. This paper shows that the three-dimensional problem of steady thermoelasticity with nonuniform heat generation over the region can be easily solved without a domain integral by means of the boundary element method. This method can also be applied to steady thermal stress problems under general complicated heat generation. However, for general heat generation the domain must be divided into small areas, where distributions of heat generation satisfy the Laplace equation.

Axisymmetric Thermal Stress Analysis in the Steady State with Heat Generation in the Region by Boundary Element Method.

The boundary element method (BEM) does not require a domain integral in steady thermoelastic problems without heat generation. However, in problems with heat generation, the domain integral is necessary. This paper shows that the axisymmetric problem of steady thermoelasticity with nonuniform heat generation over the region can be easily solved without a domain integral by means of BEM. This method can also be applied to steady thermal stress Problems under complicated general heat generation. However, for general heat generation the domain must be divided into small areas, in which distributions of heat generation approximately satisfy the Laplace equation.

Two-Dimensional Thermal Stress Analysis under Steady State with Heat Generation in the Region by Boundary Element Method.

The boundary element method (BEM) does not require a domain integral in steady thermoelastic problems without heat generation, but with heat generation, the domain integral is necessary. This paper shows that the problem of steady thermoelasticity under nonuniform heat generation over the region can be easily solved without a region integral by means of the boundary e1ement method. This method can also be applied to steady thermal stress problems under general complicated heat generation. However, for general heat generation the domain must be divided into small areas, where distributions of heat generation satisfy the Laplace equation.