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Indexed by:Journal Papers

Date of Publication:2015-11-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:SCIE、EI、Scopus

Volume:60

Issue:,SI

Page Number:154-161

ISSN No.:0955-7997

Key Words:Dynamic coupled thermoelasticity; Thermal and mechanical shock; Meshless local Petrov-Galerkin method; Moving Kriging interpolation method; Backward difference method

Abstract:A meshless local Petrov-Galerkin method (MLPG) based on the moving Kriging interpolation is further developed for two-dimensional linear dynamic coupled thermoelasticity problems under thermal and mechanical shock loading. In this method the moving Kriging interpolation is employed to construct the shape functions, and the Heaviside step function is applied in the local weak-form as the test functions. The equations of motion and transient heat conduction equations of the coupled thermoelasticity interact on each other. So these equations must be solved simultaneously. In this paper the backward difference method is applied to approximate the time derivatives. The main idea of treating the time-dependent problem is based on the reduction procedure of the equations of motion, in which the displacements, velocities and temperature are taken as the field variables. Then a unified explicit expression of the system of differential algebraic equations is obtained. Numerical examples are presented to illustrate the accuracy of this method. (C) 2015 Published by Elsevier Ltd.