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A combination of the finite element and singular‐integral equation methods for the solution of the generally cracked body
Author(s) -
Theocaris P. S.,
Tsamasphyros G.,
Theotokoglou E. E.
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.1620201109
Subject(s) - finite element method , mathematics , mathematical analysis , arc (geometry) , integral equation , mixed finite element method , series (stratigraphy) , geometry , structural engineering , engineering , geology , paleontology
A method which combines the finite element technique and the singular‐integral equation method is presented. The association of the two methods is obtained with the help of Schwarz's alternating method (SAM). The method was applied with satisfactory results to the solution of a series of problems of a circular arc crack lying inside a finite thin plate for various lengths of the circular arc and for various dimensions of the rectangular cracked sheet.