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Hypersingular boundary integral equation for axisymmetric elasticity
Author(s) -
de Lacerda L. A.,
Wrobel L. C.
Publication year - 2001
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.259
Subject(s) - singularity , rotational symmetry , mathematics , elasticity (physics) , mathematical analysis , limiting , integral equation , singular integral , boundary (topology) , boundary element method , boundary value problem , singular solution , geometry , physics , finite element method , engineering , mechanical engineering , thermodynamics
An axisymmetric hypersingular boundary integral formulation for elasticity problems is presented in this paper. The hypersingular and strong‐singular fundamental solutions are derived and their singular behaviour is discussed in detail for different locations of the source point. Several free terms arise from the limiting process when generating hypersingular boundary integral equations, including an extra one specific to the axisymmetric formulation which does not appear in two and three dimensional cases. The singularity subtraction technique is used to regularize all strong‐singular and hypersingular integrals, and their evaluation procedure is explained. Finally, the developed formulation is assessed through simple numerical tests. Copyright © 2001 John Wiley & Sons, Ltd.