Finite element solution of a boundary integral equation for mode I embedded three-dimensional fractures. (English) Zbl 0636.73087
Summary: The singular integral equations 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 other authors. The results have demonstrated that the numerical method reported is accurate and efficient.
MSC:
| 74R05 | Brittle damage |
| 65R20 | Numerical methods for integral equations |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 45E05 | Integral equations with kernels of Cauchy type |
Keywords:
opening of a mode I embedded three-dimensional fracture; infinite solid; weak form; circular; elliptical fracturesReferences:
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