Premium
Finite element solution of a boundary integral equation for mode I embedded three‐dimensional fractures
Author(s) -
Gu Hongren,
Yew Ching H.
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.1620260705
Subject(s) - mathematics , finite element method , mathematical analysis , polynomial , action (physics) , integral equation , boundary element method , function (biology) , boundary (topology) , geometry , structural engineering , physics , engineering , quantum mechanics , evolutionary biology , biology
The singular integral equation governing the opening of a mode I embedded three‐dimensional fracture in an infinite solid was solved by applying the finite element method. The strategy is to formulate the equation into weak form, and to transfer the differentiation from the singular term, 1/ r , in the equation to the test function. A numerical algorithm was thus developed. The numerical solutions for circular and elliptical fractures under the action of polynomial pressure distributions were compared with the analytical solutions by Green and Sneddon, 12 Irwin, 13 Shah and Kobayashi 14 and Nishioka and Atluri. 16 The results have demonstrated that the numerical method reported is accurate and efficient.