An internal crack problem for an infinite elastic layer

Abstract

The elastostatic plane problem of an infinite elastic layer with an internal crack is considered. The elastic layer is subjected to two different loadings, (a) the elastic layer is loaded by a symmetric transverse pair of compressive concentrated forces P/2, (b) it is loaded by a symmetric transverse pair of tensile concentrated forces P/2. The crack is opened by an uniform internal pressure p 0 along its surface and located halfway between and parallel to the surfaces of the elastic layer. It is assumed that the effect of the gravity force is neglected. Using an appropriate integral transform technique, the mixed boundary value problem is reduced to a singular integral equation. The singular integral equation is solved numerically by making use of an appropriate Gauss-Chebyshev integration formula and the stress-intensity factors and the crack opening displacements are determined according to two different loading cases for various dimensionless quantities.

Partially open crack model for leakage pressure analysis of bolted metal-to-metal flange

“…if the r n ðxÞ is entirely tensile from the crack mouth position x ¼ 0 to the crack tip position x ¼ a. Under a nominal stress distribution with a compressive region the crack can be partially open for a length a o and closed (with crack faces in contact) for the remaining part of its length [41][42][43][44][45]. An example of this is shown in Fig.…”

Plane Elastostatic Solution in an Infinite Functionally Graded Layer Weakened by a Crack Lying in the Middle of the Layer

“…Crack problem in isotropic elastic medium has been extensively studied in literature following classical theory. A comprehensive list of work on crack problems by earlier investigators has been provided in Chaudhuri and Ray [3], Ozturk and Erdogan [4], Yong and Hanson [5], Fabrikant et al [6], Fabrikant [7], Dag and Erdogan [8], Sherief and El-Maghraby [9], Birinci et al [10], Barik et al [11,12], Chen et al [13], Zhao et al [14], Matysiak and Pauk [15], Lee [16], Gupta and Erdogan [17], and Matbuly [18].…”