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The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary
Author(s) -
Neves A. C.,
Brebbia C. A.
Publication year - 1991
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.1620310406
Subject(s) - boundary element method , reciprocity (cultural anthropology) , elasticity (physics) , mathematical analysis , mathematics , quadratic equation , boundary knot method , boundary (topology) , domain (mathematical analysis) , linear elasticity , singular boundary method , boundary value problem , finite element method , geometry , physics , structural engineering , engineering , psychology , social psychology , thermodynamics
This paper presents a new boundary element approach to transform domain integrals into equivalent boundary integrals. The technique, called the Multiple Reciprocity Method, is applied to 2‐D elasticity problems and operates on domain integrals resulting from different types of body forces such as gravitational and centrifugal forces, as well as loadings due to linear and quadratic temperature distributions. Numerical examples are presented to demonstrate the accuracy and efficiency of the method.