A Star-Shaped Array of Curvilinear Cracks in an Infinite Isotropic Elastic Medium
1977; ASM International; Volume: 44; Issue: 4 Linguagem: Inglês
10.1115/1.3424146
ISSN1528-9036
AutoresP. S. Theocaris, N. I. Ioakimidis,
Tópico(s)Differential Equations and Boundary Problems
ResumoThe problem of a symmetrical star-shaped array of curvilinear cracks in an infinite isotropic elastic medium is reduced, by using the complex potential technique of Muskhelishvili [1], to a complex Cauchy-type singular integral equation on one of the cracks together with a complex condition of single-valuedness of displacements. This equation can be solved numerically by reduction to a system of linear equations after application of the Lobatto-Chebyshev numerical integration method for the approximation of the integrals involved in it and an appropriate selection of the points of collocation. An application to some cases of circular-arc-shaped cracks is made.
Referência(s)