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Hypersingular boundary integral equations and the approximation of the stress tensor
Author(s) -
Salvadori Alberto
Publication year - 2007
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.2041
Subject(s) - traction (geology) , boundary (topology) , cauchy stress tensor , mathematics , tensor (intrinsic definition) , mathematical analysis , boundary element method , boundary value problem , work (physics) , integral equation , geometry , finite element method , physics , structural engineering , engineering , mechanical engineering , thermodynamics
The present work deals with the application of the traction hypersingular boundary integral equation to approximate the stress tensor along the boundary, by making use of unit vectors that differ from the normal at the boundary. It is proved that special care is required in the evaluation of the free terms, in order to avoid insidious and unexpected errors. Copyright © 2007 John Wiley & Sons, Ltd.