The Crack Problem for Bonded Nonhomogeneous Materials Under Antiplane Shear Loading

1985 ◽  
Vol 52 (4) ◽  
pp. 823-828 ◽  
Author(s):  
F. Erdogan
Keyword(s):  
Stress Field ◽  
Shear Modulus ◽  
Crack Problem ◽  
Crack Tip ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Intensity Factors ◽  
Finite Crack ◽  
Square Root Singularity ◽  
Crack Tip Stress

The main objective of this paper is the investigation of the singular nature of the crack-tip stress field in a nonhomogeneous medium having a shear modulus with a discontinuous derivative. The problem is considered for the simplest possible loading and geometry, namely the antiplane shear loading of two bonded half spaces in which the crack is perpendicular to the interface. It is shown that the square-root singularity of the crack-tip stress field is unaffected by the discontinuity in the derivative of the shear modulus. The problem is solved for a finite crack and extensive results are given for the stress intensity factors.

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.

Correspondence Relations for the Interface Crack in Monoclinic Composites Under Mixed Loading

1990 ◽  
Vol 57 (4) ◽  
pp. 894-900 ◽  
Author(s):  
Kuang-Chong Wu ◽  
Shyh-Jye Hwang
Keyword(s):  
Interface Crack ◽  
Crack Problem ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Intensity Factors ◽  
Plane Shear ◽  
Applied Loading ◽  
As Stress ◽  
Crack Faces ◽  
Quantities Of Interest

A correspondence is established between the problem of an interface crack in mon-oclinic composites and that of an interface crack in isotropic composites. The interface crack considered is subjected to a combined tension-compression, in-plane shear and antiplane shear loading at the crack faces. Under the applied loading, the interface crack is assumed to be partially opened. Through the correspondence, quantities of interest such as stress intensity factors, sizes of the contact zones, for monoclinic composites can be obtained from the results of the isotropic interface crack problem.

scholarly journals The Crack Problem in Bonded Nonhomogeneous Materials

1991 ◽  
Vol 58 (2) ◽  
pp. 410-418 ◽  
Author(s):  
F. Erdogan ◽  
A. C. Kaya ◽  
P. F. Joseph
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Stress Singularity ◽  
Crack Tip ◽  
Plane Elasticity ◽  
Primary Objective ◽  
Intensity Factors ◽  
Shear Moduli ◽  
Square Root Singularity

In this paper the plane elasticity problem for two bonded half-planes containing a crack perpendicular to the interface is considered. The primary objective of the paper is to study the effect of very steep variations in the material properties near the diffusion plane on the singular behavior of the stresses and stress intensity factors. The two materials are, thus, assumed to have the shear moduli μ0 and μ0exp(βx), x = 0 being the diffusion plane. Of particular interest is the examination of the nature of stress singularity near a crack tip terminating at the interface where the shear modulus has a discontinuous derivative. The results show that, unlike the crack problem in piecewise homogeneous materials for which the singularity is of the form r−α, 0<α<1, in this problem the stresses have a standard square root singularity regardless of the location of the crack tip. The nonhomogeneity constant β has, however, considerable influence on the stress intensity factors.

The Analysis of the Stress Field and Crack of Rock under the Blast Loading

2010 ◽  
Vol 168-170 ◽  
pp. 1252-1255
Author(s):  
Zhong Guo Zhang ◽  
Ya Dong Bian ◽  
Bin Gao
Keyword(s):  
Stress Field ◽  
Crack Initiation ◽  
Crack Extension ◽  
Crack Tip ◽  
Blast Loading ◽  
Crack Arrest ◽  
The Stability ◽  
Crack Tip Stress

The crack tip stress field of rock is analyzed under blast loading, and the crack arrest criterion, the conditions of rock crack initiation and crack extension are presented in this paper. The study will help the design of maintaining the stability of stope drift active workings.

Direct Observation of Crack Tip Stress Field Using the Mechanoluminescence of SrAl2O4:(Eu,Dy,Nd)

2004 ◽  
Vol 85 (3) ◽  
pp. 712-714 ◽  
Author(s):  
Kee-Sun Sohn ◽  
Soo Yeon Seo ◽  
Yong Nam Kwon ◽  
Hee Dong Park
Keyword(s):  
Stress Field ◽  
Direct Observation ◽  
Crack Tip ◽  
Crack Tip Stress
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