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Material constant sensitivity boundary integral equation for anisotropic solids
Authors:Rafael Gallego  Lucia Comino  Alberto Ruiz‐Cabello
Abstract:In this paper, the material constant sensitivity boundary integral equation is presented, and its numerical solution proposed, based on boundary element techniques. The formulation deals with plane problems with general rectilinear anisotropy. Expressions for the computation of sensitivities for displacements, tractions, strains and stresses are derived, both for boundary and interior points. The sensitivities can be computed with respect to the bulk material properties or to the properties of part of the domain (inclusions, coatings, etc.). To assess the accuracy of the proposed approach, the computed results are compared to analytical ones derived from exact solutions obtained by complex potential theory, when possible, or finite difference derivatives otherwise. Copyright © 2005 John Wiley & Sons, Ltd.
Keywords:material property sensitivity  two‐dimensional anisotropic elasticity  inverse problem  boundary element method  boundary integral equations
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