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A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. (English) Zbl 1060.74069
Summary: We propose a meshless method for solving stationary thermoelastic boundary value problems. The moving least square method is used for the approximation of physical quantities in local boundary integral equations (LBIE). In stationary thermoelasticity, the temperature and displacement fields are uncoupled. In the first step, the temperature field, described by Laplace equation, is analysed by LBIE. Then, the mechanical quantities are obtained from the solution of LBIEs, which are reduced to elastostatic ones with redefined body forces due to thermal loading. The domain integrals with temperature gradients are transformed to boundary integrals. Numerical examples illustrate the implementation and performance of the method.

74S30 Other numerical methods in solid mechanics (MSC2010)
74S15 Boundary element methods applied to problems in solid mechanics
74F05 Thermal effects in solid mechanics
74B05 Classical linear elasticity