TY - JOUR
T1 - A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity
AU - Sladek, J.
AU - Sladek, V.
AU - Atluri, S. N.
N1 - Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0042350804&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0042350804
VL - 2
SP - 423
EP - 433
JO - CMES - Computer Modeling in Engineering and Sciences
JF - CMES - Computer Modeling in Engineering and Sciences
SN - 1526-1492
IS - 4
ER -