Abstract
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.
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