Torsional Impact Response in an Infinite Cylinder With a Circumferential Edge Crack

1982 ◽  
Vol 49 (3) ◽  
pp. 531-535 ◽  
Author(s):  
A. Atsumi ◽  
Y. Shindo
Keyword(s):  
Integral Equation ◽  
Edge Crack ◽  
Dynamic Stress ◽  
Good Accuracy ◽  
Fourier Transforms ◽  
Impact Response ◽  
Infinite Cylinder ◽  
Cauchy Type ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors

The problem of torsional impact response in an infinite cylinder with a circumferential edge crack is solved. Using Laplace and Fourier transforms the problem is reduced to a singular integral equation of the first kind that has Cauchy-type, logarithmic and generalized Cauchy-type singularities. The kernel of the integral equation is improved in order that the calculation may be made easy. Dynamic stress-intensity factors are estimated with good accuracy.

scholarly journals Dynamic crack propagation between two bonded orthotropic plates

2004 ◽  
Vol 2004 (1) ◽  
pp. 55-68 ◽  
Author(s):  
M. S. Matbuly
Keyword(s):  
Stress Intensity ◽  
Crack Propagation ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Fourier Transforms ◽  
Dynamic Crack ◽  
Cauchy Type ◽  
Intensity Factors ◽  
Orthotropic Plates ◽  
Dynamic Stress Intensity Factors

The problem of crack propagation along the interface of two bonded dissimilar orthotropic plates is considered. Using Galilean transformation, the problem is reduced to a quasistatic one. Then, using Fourier transforms and asymptotic analysis, the problem is reduced to a pair of singular integral equations with Cauchy-type singularity. These equations are solved using Gauss-Chebyshev quadrature formulae. The dynamic stress intensity factors are obtained in closed form expressions. Furthermore, a parametric study is introduced to investigate the effect of crack growth rate and geometric and elastic characteristics of the plates on values of dynamic stress intensity factors.

Transient Response of a Finite Bimaterial Plate Containing a Crack Perpendicular to and Terminating at the Interface

2005 ◽  
Vol 73 (4) ◽  
pp. 544-554 ◽  
Author(s):  
Xian-Fang Li ◽  
L. Roy Xu
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Singular Integral Equation ◽  
Transient Response ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Cauchy Kernel ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors

The transient response of a finite bimaterial plate with a crack perpendicular to and terminating at the interface is analyzed for two types of boundaries (free-free and clamped-clamped). The crack surface is loaded by arbitrary time-dependent antiplane shear impact. The mixed initial-boundary value problem is reduced to a singular integral equation of a generalized Cauchy kernel for the crack tearing displacement density or screw dislocation density. The Gauss-Jacobi quadrature technique is employed to numerically solve the singular integral equation, and then the dynamic stress intensity factors are determined by implementing a numerical inversion of the Laplace transform. As an example, numerical calculations are carried out for a cracked bimaterial plate composed of aluminum (material I) and epoxy or steel (material II). The effects of material properties, geometry, and boundary types on the variations of dynamic stress intensity factors are discussed in detail. Results indicate that an overshoot of the normalized stress intensity factor of the crack tip at the interface decreases for a cracked bimaterial plate, and the occurrence of which is delayed for a cracked aluminum/epoxy plate compared to a pure aluminum plate with the same crack.

Static and Dynamic Stress Intensity Factors by the Method of Transmitted Caustics

1977 ◽  
Vol 99 (2) ◽  
pp. 105-109 ◽  
Author(s):  
F. Katsamanis ◽  
D. Raftopoulos ◽  
P. S. Theocaris
Keyword(s):  
Stress Intensity ◽  
Dynamic Loading ◽  
Stress Intensity Factors ◽  
Static Loading ◽  
Edge Crack ◽  
High Speed ◽  
Applied Load ◽  
Dynamic Stress ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors

The stress intensity factors in plexiglas plates containing an edge crack and subjected to static or dynamic loading are determined by the optical method of caustics. Measurements of the applied load were accomplished by means of a piezoelectric transducer and the caustics obtained in the experiments were photographed during the process of loading by using a Cranz-Schardin high speed camera. It has been found that the stress intensity factors for a dynamic loading are always higher than the corresponding stress intensity factors for a static loading of the same magnitude.

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