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Boundary integral equation solution of three‐dimensional elastostatic problems in transversely isotropic solids using closed‐form displacement fundamental solutions
Author(s) -
Loloi Mehdi
Publication year - 2000
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/(sici)1097-0207(20000630)48:6<823::aid-nme902>3.0.co;2-j
Subject(s) - transverse isotropy , computation , mathematics , integral equation , mathematical analysis , displacement (psychology) , boundary (topology) , isotropy , method of fundamental solutions , boundary value problem , boundary element method , singular boundary method , physics , finite element method , engineering , structural engineering , algorithm , psychology , quantum mechanics , psychotherapist
The boundary integral equation method is used for the solution of three‐dimensional elastostatic problems in transversely isotropic solids using closed‐form fundamental solutions. The previously published point force solutions for such solids were modified and are presented in a convenient form, especially suitable for use in the boundary integral equation method. The new presentations are used as a basis for accurate numerical computations of all Green's functions necessary in the BEM process without inaccuracy and redundant computations. The validity of the new presentation is shown through three numerical examples. Copyright © 2000 John Wiley & Sons, Ltd.