Application of meshless local integral equations to two dimensional analysis of coupled non-Fick diffusion–elasticity
作者： Seyed Mahmoud Hosseini , Jan Sladek , Vladimir Sladek
DOI: 10.1016/J.ENGANABOUND.2013.01.010
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摘要: Abstract This work presents the application of meshless local Petrov–Galerkin (MLPG) method to two dimensional coupled non-Fick diffusion–elasticity analysis. A unit step function is used as test functions in weak-form. It leads integral equations (LIEs). The analyzed domain divided into small subdomains with a circular shape. radial basis are for approximation spatial variation field variables. For treatment time variations, Laplace-transform technique utilized. Several numerical examples given verify accuracy and efficiency proposed method. molar concentration diffuses through 2D finite speed similar elastic wave. propagation mass diffusion waves obtained discussed at various instants. MLPG has high capability track wave fronts arbitrary instants domain. profiles displacements orthogonal directions illustrated
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