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Local integral equation method for potential problems in functionally graded anisotropic materials. (English) Zbl 1182.74237
Summary: Efficient computational techniques are developed for 2D potential problems in anisotropic media with continuously variable material coefficients. The method is based on integral relationships considered on local sub-domains and domain-type approximations of the field variable. Three different kinds of integral equations are combined with either a domain element interpolation or a meshless point interpolation. The physical background of the formulation is discussed briefly. The accuracy and the convergence of the proposed techniques are tested by several examples and compared with benchmark analytical solutions.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74E05 Inhomogeneity in solid mechanics
74E10 Anisotropy in solid mechanics
Software:
BEAN; Mfree2D
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