Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements—Part 2: Results

1980 ◽  
Vol 47 (3) ◽  
pp. 577-582 ◽  
Author(s):  
T. Nishioka ◽  
S. N. Atluri
Keyword(s):  
Crack Propagation ◽  
Dynamic Stress ◽  
Numerical Solutions ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Intensity Factors ◽  
Infinite Domain ◽  
Wave Interactions ◽  
Dynamic Stress Intensity Factors ◽  
Finite Domains

Using the moving-singularity finite-element method described in Part 1 of this paper, several problems of dynamic crack propagation in finite bodies have been analyzed. Discussions of the effects of wave interactions on the dynamic stress-intensity factors are presented. The obtained numerical results are compared with the corresponding infinite domain solutions and other available numerical solutions for finite domains.

Dynamic Crack Propagation Analysis by Moving Singular Boundary Elements

1992 ◽  
Vol 59 (2S) ◽  
pp. S158-S162 ◽  
Author(s):  
Rafael Gallego ◽  
Jose´ Dominguez
Keyword(s):  
Crack Propagation ◽  
Boundary Element ◽  
Numerical Solutions ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Singular Boundary ◽  
Singular Element ◽  
Infinite Domain ◽  
Propagation Analysis ◽  
Finite Domains

An efficient boundary element procedure for the dynamic analysis of crack propagation in unbounded and arbitrary shape finite bodies is presented. The procedure is based on the direct time domain formulation of the boundary element method. A moving singular element and a remeshing technique have been developed to model the asymptotic solution of the stresses near the propagating crack tip. These ideas are easily implemented for a boundary discretization as opposed to similar procedures previously developed in a finite element context. The method is applied to problems of dynamic crack propagation in finite and infinite elastic domains. The obtained numerical results are compared with infinite domain analytical solutions and with available numerical solutions for finite domains.

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.

Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements—Part 1: Formulation

1980 ◽  
Vol 47 (3) ◽  
pp. 570-576 ◽  
Author(s):  
T. Nishioka ◽  
S. N. Atluri
Keyword(s):  
Dynamic Stress ◽  
Numerical Solutions ◽  
Dynamic Stress Intensity Factor ◽  
Crack Tip ◽  
Material Behavior ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Linear Elastic ◽  
Spatial Movement ◽  
Numerical Finite Element

An efficient numerical (finite-element) method is presented for the dynamic analysis of rapidly propagating cracks in finite bodies, of arbitrary shape, wherein linear-elastic material behavior and two-dimensional conditions prevail. Procedures to embed analytical asymptotic solutions for singularities in stresses/strains near the propagating crack-tip, to account for the spatial movement of these singularities along with the crack-tip, and to directly compute the dynamic stress-intensity factor, are presented. Numerical solutions of several problems and pertinent discussions are presented in Part 2 of this paper.

scholarly journals Dynamic Crack Analysis in Isotropic/Orthotropic Media via Extended Isogeometric Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Tiantang Yu ◽  
Yongling Lai ◽  
Shuohui Yin
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Isogeometric Analysis ◽  
Dynamic Stress ◽  
Time Integration ◽  
Integration Scheme ◽  
Dynamic Crack ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Orthotropic Media

The extended isogeometric analysis (X-IGA) is the combination of the extended finite element method (X-FEM) and the isogeometric analysis (IGA), so the X-IGA possesses the advantages of both methods. In this paper, the X-IGA is extended to investigate the dynamic stress intensity factors of cracked isotropic/orthotropic media under impact loading. For this purpose, a corresponding dynamic X-IGA model is developed, the Newmark time integration scheme is used to achieve a dynamic response, and the dynamic stress intensity factors are evaluated through the contour interaction integral technique. Numerical simulations show that the X-IGA results agree with other available reference solutions, and accurate results can be obtained by using the X-IGA with a relatively coarse mesh.

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