Abstract

An application of wavelet Galerkin method(WGM) to the solid mechanics problems is presented.WGM is one of the techniques to solve partial differential equations.In the WG formulation,scaling/wavelet functions are used as the basis functions.The wavelet functions have so-called multiresolution property.High gradients of a function can be represented employing scaling function and different resolution level wavelet functions.In solid mechanics problems using the WGM,the high stress concentration near the hole or crack tip will be represented effectively using the multireoslution properties.In this paper,the Galerkin formulation and the discretization are briefly introduced.

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