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Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks
Author(s) -
Barsoum Roshdy S.
Publication year - 1988
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.1620260302
Subject(s) - eigenvalues and eigenvectors , finite element method , basis (linear algebra) , iterative method , mathematics , extended finite element method , mixed finite element method , element (criminal law) , mathematical analysis , mathematical optimization , geometry , structural engineering , engineering , physics , quantum mechanics , political science , law
In a recently published paper a finite element based iterative method was introduced for the solution of the eigenvalue problem of stationary cracks. 1 In this paper we give the theoretical basis of this iterative method and we show why it converges and how it could be extended to more complex fracture problems. The cases of cracks at interfaces are illustrated.