Response of Finite Cracks in Orthotropic Materials due to Concentrated Impact Shear Loads

1999 ◽  
Vol 66 (2) ◽  
pp. 485-491 ◽  
Author(s):  
C. Rubio-Gonzalez ◽  
J. J. Mason
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Laplace Transform ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Shear Loading ◽  
Orthotropic Materials ◽  
Plane Shear ◽  
Shear Loads

The elastodynamic response of an infinite orthotropic material with a finite crack under concentrated in-plane shear loads is examined. A solution for the stress intensity factor history around the crack tips is found. Laplace and Fourier transforms are employed to solve the equations of motion leading to a Fredholm integral equation on the Laplace transform domain. The dynamic stress intensity factor history can be computed by numerical Laplace transform inversion of the solution of the Fredholm equation. Numerical values of the dynamic stress intensity factor history for several example materials are obtained. The results differ from mode I in that there is heavy dependence upon the material constants. This solution can be used as a Green's function to solve dynamic problems involving finite cracks and in-plane shear loading.

Mode III Yoffe Dynamic Crack in an Infinite Length Strip for Orthotropic Anisotropy Functionally Graded Material

2006 ◽  
Vol 324-325 ◽  
pp. 287-290 ◽  
Author(s):  
Cheng Jin ◽  
Xin Gang Li ◽  
Nian Chun Lü
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Functionally Graded Material ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Shear Loading ◽  
Functionally Graded ◽  
Infinite Strip ◽  
Graded Material

A moving crack in an infinite strip of orthotropic anisotropy functionally graded material (FGM) with free boundary subjected to anti-plane shear loading is considered. The shear moduli in two directions of FGM are assumed to be of exponential form. The dynamic stress intensity factor is obtained by utilizing integral transforms and dual-integral equations. The numerical results show the relationships among the dynamic stress intensity factor and crack velocity, the height of the strip, gradient parameters and nonhomogeneous coefficients.

Dynamic Stress Intensity Factor Due to Concentrated Loads on Semi-Infinite Cracks in Orthotropic Materials

2000 ◽  
Author(s):  
C. Rubio-Gonzalez ◽  
C.-Y. Wang ◽  
J. J. Mason
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Fourier Transforms ◽  
Asymptotic Expression ◽  
Dynamic Stress Intensity Factor ◽  
Crack Tip ◽  
Orthotropic Materials ◽  
Isotropic Case

Abstract The transient elastodynamic response due to concentrated normal or shear impact loads on the faces of a semi-infinite crack in orthotropic materials is examined. Solution for the stress intensity factor history around the crack tip is found. Laplace and Fourier transforms together with the Wiener-Hopf technique are employed to solve the equations of motion in terms of displacements. An asymptotic expression for the stress near the crack tip is analyzed which leads to the dynamic stress intensity factor in modes I and II. Similar to the isotropic case, it is found that the stress intensity factor has a singularity and discontinuity when the Rayleigh wave emitted from the load arrives at the crack tip. Results are presented for a typical orthotropic material.

Calculation of Dynamic Stress Intensity Factor by the Boundary Element - Laplace Transform Method

2014 ◽  
Vol 989-994 ◽  
pp. 1825-1828
Author(s):  
Wei Zhang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Laplace Transform ◽  
Frequency Domain ◽  
Time Domain ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Boundary Integral ◽  
Inverse Laplace Transform

Using the Laplace transform and freezing time variable, the problem in the time domain into the frequency domain to solve the problem. The establishment of a crack unit model in the frequency domain, and the boundary integral equation and discrete form containing the crack unit has been deduced. While using Durbin algorithm suitable for transient dynamic response of the inverse Laplace transform, the amount of stress intensity factor of a set of transformation parameters corresponding to the frequency domain into a time domain to obtain the dynamic stress intensity factor of time curve, and calculate the stress intensity factor compared to the boundary finite element method has a Laplace transform high precision, easy to save CPU time and data preparation features, we recommend using this method to calculate the dynamic stress intensity factor.

The Dynamic Fracture Analysis of the Adhesively Bonded Materials under Shear Loading

2007 ◽  
Vol 334-335 ◽  
pp. 141-144
Author(s):  
Yan Hong Cai ◽  
Hao Ran Chen
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Elastic Layer ◽  
Dynamic Stress ◽  
Integral Transform ◽  
Dynamic Stress Intensity Factor ◽  
Integral Equation Method ◽  
Shear Loading ◽  
Character Size

The dynamic stress intensity factor was studied about the Griffith crack between the visco-elastic layer and elastic body under shear loading. Adopting integral transform and singular integral equation method, the time response of dynamic stress intensity factor was calculated. Considering the influence of materials parameter, it was found that the dynamic stress intensity factor increases with crack length increasing, and it posses distinct size effect when the thickness of visco-elastic layer reaching the character size of materials.

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