BEM analysis of thin structures for thermoelastic problems.

*(English)*Zbl 1351.74150Summary: 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 |