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An implementation of the boundary element method for zoned media with stress discontinuities
Author(s) -
Rudolphi Thomas J.
Publication year - 1983
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.1620190103
Subject(s) - classification of discontinuities , boundary element method , mathematics , boundary (topology) , quadratic equation , finite element method , boundary value problem , piecewise linear function , mathematical analysis , piecewise , linear elasticity , boundary knot method , elasticity (physics) , geometry , mathematical optimization , structural engineering , engineering , physics , thermodynamics
The boundary element method as it applies to two‐dimensional elastostatic problems is implemented with quadratic variation in boundary variables and geometry. Additional parameters are associated with nodes at segment intersections to allow for discontinuous tractions. Supplementary equations consistent with linear elasticity are used to augment the regular boundary integral equations for certain mixed and displacement boundary conditions. Zoning or subregionalization capabilities are included to provide solutions to piecewise nonhomogeneous problems or problems on regions of irregular shape. Example problems are given to demonstrate the accuracy of the technique.