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Material constant sensitivity boundary integral equation for anisotropic solids
Author(s) -
Gallego Rafael,
Comino Lucia,
RuizCabello Alberto
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1610
Subject(s) - mathematical analysis , boundary (topology) , anisotropy , mathematics , sensitivity (control systems) , constant (computer programming) , computation , boundary element method , boundary value problem , finite element method , domain (mathematical analysis) , integral equation , geometry , physics , computer science , algorithm , engineering , thermodynamics , quantum mechanics , electronic engineering , programming language
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.