Simulating isochromatics in the vicinity of crack tip using an infinite plate with a thin single elliptical hole

1997 ◽  
Author(s):  
Wellington A. Soares ◽  
Geraldo de Paula Martins ◽  
Arnaldo H. Paes de Andrade ◽  
Leonardo B. Godefroid
Keyword(s):  
Infinite Plate ◽  
Crack Tip ◽  
Elliptical Hole

Moving Crack in an Infinite Plate of Orthotropic Anisotropy FGMs under Anti-Plane Shear

2010 ◽  
Vol 97-101 ◽  
pp. 928-931
Author(s):  
Xian Shun Bi ◽  
Feng Yang ◽  
Shuang Shuang Ma
Keyword(s):  
Crack Velocity ◽  
Characteristic Length ◽  
Crack Problem ◽  
Infinite Plate ◽  
Crack Tip ◽  
Shear Loading ◽  
Local Theory ◽  
Moving Crack ◽  
Plane Shear ◽  
Crack Tip Stress

The moving crack problem in an infinite plate of orthotropic anisotropy functionally graded materials (FGMs) subjected to an anti-plane shear loading is studied by making use of non- local theory. The shear modulus and mass density of FGMs are assumed to be of exponential form. Fourier transform is employed to solve the partial differential equation. The mixed boundary value problem is reduced to a pair dual integral equations which is solved by using Schmidt’s method. The semi-analytic solution of crack-tip stress is obtained, contrary to the classical elasticity solution, the crack-tip stress fields does not retains the stress singularity. The influences of the characteristic length, graded parameter, orthotropic coefficient and crack velocity on the crack-tip stress are analyzed. The numerical results show that the stress at the crack tip decrease as the characteristic length, crack velocity, graded parameter are increased and increase as the orthotropic coefficient is increased.

Hole Crack Problems in Infinite Elastic Plate in Tension

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Xiangqiao Yan ◽  
Baoliang Liu
Keyword(s):  
Elastic Plate ◽  
Homogeneous Problem ◽  
Crack Problem ◽  
Infinite Plate ◽  
Elliptical Hole ◽  
Numerical Approach ◽  
Displacement Discontinuity ◽  
Center Crack ◽  
Crack Problems ◽  
Hole Geometry

This paper deals with crack(s) emanating from a hole in infinite elastic plate in tension. Such a crack problem is called a hole crack problem for short. By extending Buckner’s principle suited for a crack to a hole crack problem in infinite plate in tension, here, the original problem (the hole crack problem in infinite plate in tension) is divided into a homogeneous problem (the one without hole crack) subjected to remote loads and a hole crack problem in an unloaded body with applied tractions on the surfaces of the hole and crack. Thus, the results in terms of the stress intensity factors (SIFs) can be obtained by considering the latter problem, which is analyzed easily by means of a hybrid displacement discontinuity (a boundary element method) proposed recently by Yan. Numerical examples are included to illustrate that the numerical approach is very simple and effective for analyzing the hole crack problem in infinite plate in tension. By using the proposed approach, three hole crack problems (i.e., a pair of cracks emanating from an elliptical hole, a pair of cracks emanating from a rhombus hole, and a crack emanating from a triangular hole in infinite plate in tension) are analyzed in detail. By changing the hole geometry form and the hole geometry parameters and by comparing the SIFs of the hole crack problem with those of the center crack problem, the effect of the hole geometry form and the hole geometry parameters on the SIFs is revealed. It is found that a hole has a shielding and an amplifying effect on the SIFs of crack(s) emanating from the hole. The shielding and amplifying effects varied with the hole geometry form and the hole geometry parameters.

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