Abstract
Method of elastic stress analysis for general Functionally Gradient Materials (FGMs) is studied based on the principle of superposition. In the present study, the spacial variation of the elastic constants is expressed by an embedded force doublets in an elastic continuum. As a result, the stress field of an arbitrarily gradient materials is expressed by the superposition of elastic fundamental solutions of a homogeneous body as in a similar manner of the ordinary elastic problems. The relationship between local stresses and displacements, which are expressed in terms of boundary integrals, are used to determine the unknown magnitude of force doublets.
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