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BEM analysis of thin structures for thermoelastic problems. (English) Zbl 1351.74150
Summary: A new boundary element method is developed for solving thin-body thermoelastic problems in this paper. Firstly, the novel regularized boundary integral equations (BIEs) containing indirect unknowns are proposed to cancel the singularity of fundamental solutions. Secondly, a general nonlinear transformation available for high-order geometry elements is introduced in order to remove or damp out the near singularity of fundamental solutions, which is crucial for accurate solutions of thin-body problems. Finally, the domain integrals arising in both displacement and its derivative integral equations, caused by the thermal loads, are regularized using a semi-analytical technique. Six benchmark examples are examined. Results indicate that the proposed method is accurate, convergent and computationally efficient. The proposed method is a competitive alternative to existing methods for solving thin-walled thermoelastic problems.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74F05 Thermal effects in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
80M15 Boundary element methods applied to problems in thermodynamics and heat transfer
65N38 Boundary element methods for boundary value problems involving PDEs
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