A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity

J. Sladek, V. Sladek, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

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 the approximation of physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity, the 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 integrals with temperature gradients are transformed to boundary integrals. Numerical examples illustrate the implementation and performance of the present method.

Original languageEnglish
Pages (from-to)423-433
Number of pages11
JournalCMES - Computer Modeling in Engineering and Sciences
Volume2
Issue number4
StatePublished - 2001

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