Publication Cover
Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 6
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Original Articles

Wavelet Solution of Plane Elasticity Problem in the Upper Half-plane

Pages 1427-1441 | Published online: 09 Sep 2010
 

The plane elasticity problem includes plane strain problem and plane stress problem which are widely applied in mechanics and engineering. In this article, we first reduce the plane elasticity problem in the upper half-plane into natural boundary integral equation and then apply wavelet-Galerkin method to deal with the numerical solution of the natural boundary integral equation. The test and trial functions used are the scaling basis functions of Shannon wavelet. In our fast algorithm, the computational formulae of entries of the stiffness matrix yield simple close-form and only 3 K entries need to be computed for one 4 K ‐ 4 K stiffness matrix.

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