Stress intensity factors for a semi-infinite plane crack under a pair of point forces on the faces

1993 ◽  
Vol 30 (3) ◽  
pp. 197-209 ◽  
Author(s):  
M. K. Kuo
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Plane Crack ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Point Forces

Mixed Mode Interface Cracks in a Bi-Material Half Plane and a Bi-Material Strip

1999 ◽  
Author(s):  
Haiying Huang ◽  
George A. Kadomateas ◽  
Valeria La Saponara
Keyword(s):  
Stress Intensity ◽  
Free Boundary ◽  
Half Plane ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Infinite Strip ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Interface Cracks ◽  
Mode Stress

Abstract This paper presents a method for determining the dislocation solution in a bi-material half plane and a bi-material infinite strip, which is subsequently used to obtain the mixed-mode stress intensity factors for a corresponding bi-material interface crack. First, the dislocation solution in a bi-material infinite plane is summarized. An array of surface dislocations is then distributed along the free boundary of the half plane and the infinite strip. The dislocation densities of the aforementioned surface dislocations are determined by satisfying the traction-free boundary conditions. After the dislocation solution in the finite domain is achieved, the mixed-mode stress intensity factors for interface cracks are calculated based on the continuous dislocation technique. Results are compared with analytical solution for homogeneous anisotropic media.

The Mixed-Mode Fracture Analysis of Multiple Embedded Cracks in a Semi-Infinite Plane by an Analytical Alternating Method

2002 ◽  
Vol 124 (4) ◽  
pp. 446-456 ◽  
Author(s):  
Chih-Yi Chang ◽  
Chien-Ching Ma
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Fundamental Solutions ◽  
Multiple Cracks ◽  
Mixed Mode Fracture ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Alternating Method ◽  
Mode Stress

An efficient analytical alternating method is developed in this paper to evaluate the mixed-mode stress intensity factors of embedded multiple cracks in a semi-infinite plane. Analytical solutions of a semi-infinite plane subjected to a point force applied on the boundary, and a finite crack in an infinite plane subjected to a pair of point forces applied on the crack faces are referred to as fundamental solutions. The Gauss integrations based on these point load fundamental solutions can precisely simulate the conditions of arbitrarily distributed loads. By using these fundamental solutions in conjunction with the analytical alternating technique, the mixed-mode stress intensity factors of embedded multiple cracks in a semi-infinite plane are evaluated. The numerical results of some reduced problems are compared with available results in the literature and excellent agreements are obtained.

The Interaction of Collinear Arrays of Griffith Cracks on Two Radial Lines

1976 ◽  
Vol 98 (3) ◽  
pp. 1086-1091 ◽  
Author(s):  
O. Aksogan
Keyword(s):  
Stress Intensity ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Mellin Transform ◽  
Singular Integral Equations ◽  
Graphical Form ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Fundamental Function ◽  
Analytical Technique

The elastostatic plane problem of an isotropic homogeneous infinite plane with a number of Griffith cracks lying along two radial lines is considered. The analytical technique consists of the joint use of the Mellin transform and the Green’s function. The system of singular integral equations, thus obtained, is solved numerically taking advantage of the fact that the fundamental function is the weight function of the Chebyshev polynomials. The results for several cases are compared with those of previous authors. Stress intensity factors and probable directions of cleavage, which are important from the viewpoint of fracture mechanics, are studied in detail and illustrative numerical results for selected cases of geometry and loading are presented in graphical form.

Stress-Intensity Factors for an Insulated Half-Plane Crack

1976 ◽  
Vol 43 (1) ◽  
pp. 107-111 ◽  
Author(s):  
Mumtaz K. Kassir
Keyword(s):  
Stress Intensity ◽  
Half Plane ◽  
Stress Intensity Factors ◽  
Integral Transform ◽  
Stress Singularity ◽  
Elastic Solid ◽  
Three Dimensions ◽  
Plane Crack ◽  
Intensity Factors ◽  
Displacement Potentials

This paper is concerned with determining the stress-intensity factors due to disturbance of a uniform flow of heat by an insulated half-plane crack in an elastic solid. The spatial thermoelastic problem is formulated in terms of Papkovich-Neuber displacement potentials and is solved by the application of Kontorovich-Lebedev integral transform and certain singular solutions of Laplace equation in three dimensions. The analysis reveals that four distinct displacement potentials are needed to satisfy the finite displacement and inverse square root stress-singularity at the edge of the crack. Closed-form expressions are obtained for the stress-intensity factors (k2 and k3) and their variations along the crack border are shown in curves.

scholarly journals The Problem of Internal and Edge Cracks in an Orthotropic Strip

1977 ◽  
Vol 44 (2) ◽  
pp. 237-242 ◽  
Author(s):  
F. Delale ◽  
F. Erdogan
Keyword(s):  
Stress Intensity ◽  
Elastic Constants ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Orthotropic Strip ◽  
Edge Cracks ◽  
Elastostatic Problem

The plane elastostatic problem of internal and edge cracks in an infinite orthotropic strip is considered. The problems for the material types I and II are formulated in terms of singular integral equations. For the symmetric case the stress-intensity factors are calculated and are compared with the isotropic results. The results show that because of the dependence of the Fredholm kernels on the elastic constants in the strip (unlike the crack problem for an infinite plane) the stress-intensity factors are dependent on the elastic constants and are generally different from the corresponding isotropic results.

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