Author(s)

J. Sladek and V. Sladek

Abstract

A meshless local boundary integral equation method in thermoelasticity J. Sladek and V. Sladek Institute of Construction and Architecture, Slovak Academy of Sciences, 842 20 Bratislava, Slovakia Abstract A new meshless method for solving stationary thermoelastic boundary value problems is proposed in the present paper. The moving least square (MLS) method is used for approximation physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity both temperature and displacement fields are uncoupled. In the first step the temperature field, described by the Laplace equation, is analysed by the LBIE. Then, the mechanical quantities are obtained from the solution of the LBIEs, which are reduced to elastostatic ones with redefined body forces due to thermal loading. The domain integral with temperature gradients is transformed to boundary integrals. 1 Introduction The meshless discretization approach for continuum mechanics problems has att

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