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Surface integral finite element hybrid (SIFEH) method for fracture mechanics
Author(s) -
Annigeri Balkrishna S.,
Cleary Michael P.
Publication year - 1984
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.1620200507
Subject(s) - finite element method , discontinuity (linguistics) , extended finite element method , superposition principle , surface (topology) , mixed finite element method , nonlinear system , smoothed finite element method , fracture (geology) , integral equation , mathematical analysis , mathematics , boundary knot method , geometry , structural engineering , boundary element method , materials science , physics , engineering , quantum mechanics , composite material
An effective surface integral and finite element hybrid (SIFEH) method has been developed to model fracture problems in finite plane domains. This hybridization by (incrementally) linear superposition combines the best features of both component methods. Finite elements are used to model the finite domain (and eventually nonlinearity), while continuous distributions of dislocations (resulting in surface integral equations) are used to model the fracture (i.e. displacement discontinuity). This method has been implemented in a computer program and results of representative problems are presented: these compare very well with known solutions and they demonstrate the computational advantages of SIFEH over other numerical methods (including the individual components).