×

An internal crack problem in an infinite transversely isotropic elastic layer. (English) Zbl 1359.74385

Summary: This paper is concerned with an internal crack problem in an infinite transversely isotropic elastic layer. The crack is opened by an internal uniform pressure \(p_0\) along its surface. The layer surfaces are supposed to be acted on by symmetrically applied concentrated forces of magnitude \(\frac P2\) with respect to the centre of the crack. The applied concentrated force may be compressive or tensile in nature. The problem is solved by using integral transform technique. The solution of the problem has been reduced to the solution of a Cauchy type singular integral equation, which requires numerical treatment. The integral equation is solved numerically by using Gauss-Chebychev and Gauss-Laguerre quadratures. The stress-intensity factors and the crack opening displacements are determined and the effects of anisotropy on both cases are shown graphically.

MSC:

74R20 Anelastic fracture and damage
PDFBibTeX XMLCite
Full Text: Link