Dynamic Crack Analysis Under Coupled Thermoelastic Assumption

2000 ◽  
Vol 68 (4) ◽  
pp. 584-588 ◽  
Author(s):  
P. Hosseini-Tehrani ◽  
M. R. Eslami ◽  
H. R. Daghyani
Keyword(s):  
Stress Intensity ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Dynamic Crack ◽  
Intensity Factors ◽  
Displacement Fields ◽  
Dynamic Stress Intensity Factors ◽  
Thermoelastic Field ◽  
Comparison Of The Results ◽  
Domain Discretization

A boundary element method using Laplace transform in time domain is developed for the analysis of fracture mechanic under coupled thermoelastic assumption. The transient coupled thermoelastic field is solved without need for domain discretization. The singular behavior of the temperature and displacement fields in the vicinity of the crack tip is modeled by quarter-point elements. Thermal dynamic stress intensity factors for mode I are evaluated from computed nodal values, using the well-known displacement and traction formulas. The accuracy of the method is investigated through comparison of the results with the available data in literature. The conditions where the inertia term plays an important role is discussed and variations of the dynamic stress intensity factor is investigated.

Use of Jˆ-Integral in Dynamic Analysis of Cracked Linear Viscoelastic Solids by Finite-Element Method

1982 ◽  
Vol 49 (1) ◽  
pp. 75-80 ◽  
Author(s):  
K. Kishimoto ◽  
S. Aoki ◽  
M. Sakata
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Computational Method ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Element Method

A computational method using the path (area)-independent Jˆ-integral is developed to analyze viscoelastic problems. Since the displacement field near the crack tip of a viscoelastic solid is dependent upon the complete past history of the dynamic stress-intensity factors, the Jˆ-integral is represented by a hereditary integral of the dynamic stress-intensity factors. We assume that the stress and strain rates vary in proportion to time during each increment of time and derive a formula to obtain the current value of the dynamic stress-intensity factor from the time increment of the Jˆ-value. Both pure and mixed mode problems of a suddenly loaded crack are analyzed by making use of the formula together with the conventional finite-element method. In order to demonstrate the capability and reliability of the present method, problems of a center crack and an oblique crack in viscoelastic rectangular plates are solved.

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.

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.

A New Method to Calculate Dynamic Stress Intensity Factor for V-Notch in a Bi-Material Plate

2008 ◽  
Vol 385-387 ◽  
pp. 217-220
Author(s):  
You Tang Li ◽  
Zhi Yuan Rui ◽  
Chang Feng Yan
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Stress Singularity ◽  
Intensity Factors ◽  
Material Interface ◽  
Dynamic Stress Intensity Factors ◽  
Definition Of

The stress singularity eigen-equation for V-notch in a bi-material plate is obtained. A new definition of dynamic stress intensity factor of a crack perpendicular to bi-material interface is put forward, and then is extended to any V-notch in bi-material plate. A formula of stress extrapolation method to calculate dynamic stress intensity factors of V-notch in bi-material plate is obtained. As an example, the three points bending sample with two materials is investigated.

Impact Response of a Cracked Orthotropic Medium

1983 ◽  
Vol 50 (3) ◽  
pp. 630-636 ◽  
Author(s):  
M. K. Kassir ◽  
K. K. Bandyopadhyay
Keyword(s):  
Stress Intensity ◽  
Dynamic Stress ◽  
Fourier Transforms ◽  
Dynamic Stress Intensity Factor ◽  
Orthotropic Materials ◽  
Dynamic Stress Intensity Factors ◽  
Transient Problem ◽  
Numerical Laplace Inversion ◽  
The Laplace Transform ◽  
Applied Stresses

A solution is given for the problem of an infinite orthotropic solid containing a central crack deformed by the action of suddenly applied stresses to its surfaces. Laplace and Fourier transforms are employed to reduce the transient problem to the solution of standard integral equations in the Laplace transform plane. A numerical Laplace inversion technique is used to compute the values of the dynamic stress-intensity factors, k1 (t) and k2 (t), for several orthotropic materials, and the results are compared to the corresponding elastostatic values to reveal the influence of material orthotropy on the magnitude and duration of the overshoot in the dynamic stress-intensity factor.

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