Three-dimensional Steady Thermal Stress
Analysis By Triple-reciprocity BEM
Author(s)
Y. Ochiai
Abstract
Steady thermal stress problems without heat generation can be solved easily by
the boundary element method. However, for the case with arbitrary heat
generation, the domain integral is necessary. In this paper, it is shown that the
problems of three-dimensional steady thermal stress with heat generation can be
solved approximately without the domain integral by the triple-reciprocity
boundary element method. In this method, an arbitrary distribution of heat
generation is interpolated by boundary integral equations. In order to solve the
problem, the values of heat generation at internal points and on the boundary are
used.
Keywords: Thermal stress, triple-reciprocity method, harmonic function,
boundary element method.
1 Introduction
The steady thermal stress problem without heat generation can be solved easily
by the boundary-element method (BEM). When analysis of thermal stress under
arbitrary heat generation within the domain is carried out by the BEM, generally
the domain integral is necessary. By this method, however, the merit of BEM for
the simple preparation of data is lost. Several other methods have been
considered. Nowak and coworkers have proposed the multiple-reciprocity
method [1]. Ochiai et al. have proposed an approximate method using the cells of
boundary type [2].
In the conventional multiple-reciprocity method, heat generation must be
given analytically and the analytical derivation of heat generation on the
boundary is necessary. Fundamental solutions of higher order are used to make
the solution converge for some problems. Accordingly, the conventional
Keywords
Thermal stress, triple-reciprocity method, harmonic function,
boundary element method
Related Book
Other papers in this volume
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