The influence of elastic waves on dynamic stress intensity factors (two-dimensional problems)

1996 ◽  
Vol 66 (5) ◽  
pp. 326-335 ◽  
Author(s):  
P. H. Wen ◽  
M. H. Aliabadi ◽  
D. P. Rooke
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Elastic Waves ◽  
Dynamic Stress ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors

Dynamic Stress Intensity Factors of Three Collinear Cracks in an Orthotropic Plate Subjected to Time-Harmonic Disturbance

2015 ◽  
Vol 32 (5) ◽  
pp. 491-499
Author(s):  
S. Itou
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Elastic Waves ◽  
Orthotropic Plate ◽  
Dynamic Stress ◽  
Intensity Factors ◽  
Collinear Cracks ◽  
Dynamic Stress Intensity Factors ◽  
Dynamic Stresses ◽  
Time Harmonic

AbstractAbstract-The dynamic stresses around three collinear cracks in an infinite orthotropic plate are solved. In this configuration, two equal cracks are situated symmetrically on either side of a central crack, and time-harmonic elastic waves impinge perpendicularly to the cracks. The problem is solved by superimposing two types of solutions. One solution is that for a crack in an infinite orthotropic plate, and the other is for two collinear cracks. The unknown coefficients in the superimposed solution are determined by applying the boundary conditions at the surfaces of the three cracks using the Schmidt method. The dynamic stress intensity factors are calculated numerically for an orthotropic plate that corresponds to the elastic properties of a boron-epoxy composite.

Elastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method

1999 ◽  
Vol 67 (3) ◽  
pp. 606-615 ◽  
Author(s):  
W.-H. Chen ◽  
C.-L. Chang ◽  
C.-H. Tsai
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Laplace Transform ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Multiple Cracks ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Alternating Method ◽  
The Laplace Transform

The Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks. By the Laplace transform technique, the complicated elastodynamic fracture problem is first transformed into an equivalent static fracture problem in the Laplace transform domain and then solved by the finite element alternating method developed. To do this, an analytical solution by Tsai and Ma for an infinite plate with a semi-infinite crack subjected to exponentially distributed loadings on crack surfaces in the Laplace transform domain is adopted. Finally, the real-time response can be computed by a numerical Laplace inversion algorithm. The technique established is applicable to the calculation of dynamic stress intensity factors of a finite plate with arbitrarily distributed edge cracks or symmetrically distributed central cracks. Only a simple finite element mesh with very limited number of regular elements is necessary. Since the solutions are independent of the size of time increment taken, the dynamic stress intensity factors at any specific instant can even be computed by a single time-step instead of step-by-step computations. The interaction among the cracks and finite geometrical boundaries on the dynamic stress intensity factors is also discussed in detail. [S0021-8936(00)02103-6]

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