Abstract
The proposed method is the direct Boundary Integral Equation (BIE) method applied to three-dimensional transient heat transfer analyses and to corresponding elastostatic analyses under thermal loading. The mechanical and thermal problems are decoupled. The tempered elementary solution of the transient heat transfer problem contains time and space variables. The numerical treatment of the thermal equation is performed analytically with respect to time and numerically with respect to space in the same way as for steady state equations. Differences between transient and steady state analyses, on one hand, and between elastostatic analyses with and without thermal loading, on the other hand, are emphazised. Finally an industrial example shows the accuracy of the results obtained by using the BIE method to solve 3D thermo-elastic problems.
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