Premium
Coincident collocation of displacement and tangent derivative boundary integral equations in elasticity
Author(s) -
MuciKüchler K. H.,
Rudolphi T. J.
Publication year - 1993
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.1620361611
Subject(s) - mathematics , tangent , mathematical analysis , tangent stiffness matrix , boundary element method , elasticity (physics) , displacement (psychology) , boundary value problem , finite element method , geometry , stiffness matrix , physics , psychology , psychotherapist , thermodynamics
The regular boundary integral equations of elastostatics are combined with regularized versions of the tangent derivative equations and collocated at the same points to formulate the elasticity problem in terms of displacements, tractions and the tangential displacement gradients. Hermitian cubic polynomials are used for functional interpolation on certain elements to formulate the boundary element method in terms of displacements, tractions and their tangent derivatives. Commensurate accuracy of nodal values of these functions and the tangent derivatives is obtained and makes possible the accurate and immediate recovery of all stress components. An example problem demonstrates the accuracy and atility of the approach.