The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary | Zendy

Neves A. C. | Zendy; Brebbia C. A. | Zendy

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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.

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