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Efficient implementation of anisotropic three dimensional boundary‐integral equation stress analysis
Author(s) -
Wilson R. B.,
Cruse T. A.
Publication year - 1978
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.1620120907
Subject(s) - anisotropy , boundary (topology) , stress (linguistics) , integral equation , boundary value problem , point (geometry) , mathematical analysis , singular boundary method , boundary element method , mathematics , geometry , structural engineering , finite element method , engineering , physics , linguistics , philosophy , quantum mechanics
The boundary‐integral equation medthod is particularly well suited for solution of stress concentration and elastic fracture mechanics problems. The method was not previously applicable to anisotropic three dimensional problems because no efficient technique existed for calculation of the required point load solution for an infinite body. A technique has been developed to evaluate numerically the anisotropic point load soultions, and used to generate data bases for various materials. An intrpolation technique is used to evaluate the point load solutions efficiently within a higher order boundary‐intgral equation code. The effectiveness of the technique is verified by solution of problems involving both uniaxial stress states and stress concentrations.