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A boundary element formulation based on the three‐dimensional elastostatic fundamental solution for the infinite layer: Part I—theoretical and numerical development
Author(s) -
Benitez F. G.,
Lu L.,
Rosakis A. J.
Publication year - 1993
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.1620361805
Subject(s) - discretization , boundary element method , planar , traction (geology) , mathematics , development (topology) , geometry , mathematical analysis , point (geometry) , boundary (topology) , finite element method , computer science , structural engineering , engineering , mechanical engineering , computer graphics (images)
Abstract This work presents a specialization of the integral identities used in the boundary element method. This modification is especially tailored to deal with three‐dimensional elastostatic problems involving geometries which contain two parallel planar surfaces (e.g. three‐dimensional plate problems). The formulation makes use of the three‐dimensional fundamental solution for a point load acting in the interior of an infinite layer of uniform thickness (obtained by Benitez and Rosakis 8,9 ). It is shown that this procedure is especially suited for the analysis of three‐dimensional problems involving cavities in plate structures. In such problems it is demonstrated that, in addition to the cavity surfaces, only the lateral surfaces of the structure need to be discretized, with no discretization required on the traction‐free parallel surfaces.