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Some applications of the boundary element method in geomechanics
Author(s) -
Venturini W. S.,
Brebbia C. A.
Publication year - 1983
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610070405
Subject(s) - geomechanics , boundary element method , finite element method , mathematics , boundary (topology) , boundary knot method , matrix (chemical analysis) , method of fundamental solutions , mathematical analysis , structural engineering , engineering , materials science , geotechnical engineering , composite material
This paper presents the complete formulation for the application of the Boundary Element Method to solve non‐tension material problems. The formulation is based on including an extra term due to an initial stress field into the boundary integral statement. This is then used to iterate the solution until a state of non‐tension is achieved. The resulting iteration process is very simple to apply and basically consists only of a single matrix–vector product. The applications show that accurate resultscan be obtained for boundary discretizations involving a small number of unknowns. Whenever possible, results are compared with analytical solutions or finite elements.