Abstract
Abstract : The dependence of the stress field on a continuous periodically varying stiffness which approximates a layered material is studied. This dependence is compared to the solution for the usual approximation of converting this class of problems to the superposition of an anisotropic one and a residual boundary problem. The region of applicability of the usual approximation is found to be as expected geometrically but surprisingly large as far as variation of stiffness is concerned.
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