Dynamic Response of an Orthotropic Half-Space With a Subsurface Crack: In-Plane Case

1991 ◽  
Vol 58 (4) ◽  
pp. 988-995 ◽  
Author(s):  
M. R. Karim ◽  
T. Kundu
Keyword(s):  
Half Space ◽  
Elastic Waves ◽  
Crack Opening ◽  
Singular Integral Equations ◽  
Orthotropic Materials ◽  
Subsurface Crack ◽  
Arbitrary Angle ◽  
Opening Displacement ◽  
Line Load ◽  
Scattering Of Elastic Waves

Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green’s functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.

Scattering of elastic waves by a rectangular crack in an anisotropic half-space

Wave Motion ◽  
2003 ◽  
Vol 38 (2) ◽  
pp. 91-107 ◽  
Author(s):  
Anders Boström ◽  
Tomas Grahn ◽  
A.Jonas Niklasson
Keyword(s):  
Half Space ◽  
Elastic Waves ◽  
Rectangular Crack ◽  
Scattering Of Elastic Waves

The transition matrix for the scattering of elastic waves in a half‐space

2007 ◽  
Vol 30 (6) ◽  
pp. 983-996 ◽  
Author(s):  
Chau‐Shioung Yeh ◽  
Tsung‐Jen Teng ◽  
Wen‐I Liao ◽  
Juin‐Fu Chai
Keyword(s):  
Half Space ◽  
Elastic Waves ◽  
Transition Matrix ◽  
Scattering Of Elastic Waves

An Arc-Shaped Debonding Crack Opened by Internal Pressure

1998 ◽  
Vol 14 (2) ◽  
pp. 83-89
Author(s):  
Ru-Min Chao
Keyword(s):  
Internal Pressure ◽  
Crack Opening ◽  
Stress Singularity ◽  
Crack Tip ◽  
Singular Integral Equations ◽  
Contact Length ◽  
Infinite Matrix ◽  
Closed Crack ◽  
Opening Displacement ◽  
Crack Tips

AbstractIn this paper, the problem of a debonding crack at the interface between a circular fiber and an infinite matrix opened by internal pressure is discussed. We concentrated on the effect of contact near the crack tips within the content of linear elastic fracture mechanics. The Muskhelishvili complex variable method is used in this analysis. The frictionless contact crack tip condition is adopted in this study in order to avoid the oscillatory stress singularity at the crack tip as shown in the classical solution. By using the crack opening displacement gradient as the primary variable, the problem is then reduced to two coupled singular integral equations, and the final discretization of the equations employs the method given by Erdogan and Gupta (1972). The comprehensive numerical results of stress fields and the mode II SIF at the closed crack tip will be given in the paper. It is also found from the numerical evidences that the contact length at the crack tip is independent of one of the Dundurs parameters, α.

scholarly journals Thermal Stresses Due to a Plane Crack in General Anisotropic Material

1988 ◽  
Vol 55 (2) ◽  
pp. 372-376 ◽  
Author(s):  
F. A. Sturla ◽  
J. R. Barber
Keyword(s):  
Heat Flux ◽  
Thermal Stresses ◽  
Crack Opening ◽  
Anisotropic Body ◽  
Crack Tip ◽  
Thermoelastic Stress ◽  
Singular Integral Equations ◽  
Plane Crack ◽  
Uniform Heat Flux ◽  
Opening Displacement

A solution is given for the thermoelastic stress field due to the obstruction of a uniform heat flux by a plane crack in a generally anisotropic body. A Green’s function formulation is used to reduce the problem to a set of singular integral equations which are solved in closed form. When the crack is assumed to be traction free, the crack opening displacement is found to be negative over one half of the crack unless a sufficiently large far field tensile stress is superposed. The problem is, therefore, reformulated assuming a contact zone at one crack tip. The extent of this zone and the stress intensity factors in all three modes at each crack tip are obtained as functions of the applied stress and heat flux.

Sign in / Sign up

Export Citation Format

Share Document