Crack problem under shear loading in cubic quasicrystal

2003 ◽  
Vol 24 (6) ◽  
pp. 720-726 ◽  
Author(s):  
Zhou Wang-min ◽  
Fan Tian-you ◽  
Yin Shu-yuan
Keyword(s):  
Crack Problem ◽  
Shear Loading

Analysis of a Curved Interfacial Crack Between Viscoelastic Foam and Anisotropic Composites Under Antiplane Shear

2003 ◽  
Vol 17 (08n09) ◽  
pp. 1573-1579
Author(s):  
Heoung Jae Chun ◽  
Sang Hyun Park
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Composite Materials ◽  
Intensity Factor ◽  
Hilbert Problem ◽  
Crack Problem ◽  
Interfacial Crack ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Stiffness Coefficients

The analysis of curved interfacial crack between viscoelastic foam and anisotropic composites was conducted under antiplane shear loading applied at infinity. In the analysis, in order to represent viscoelastic behavior of foam, the Kelvin-Maxwell model was incorporated and Laplace transform was applied to treat the viscoelastic characteristics of foam. The curved interfacial crack problem was reduced to a Hilbert problem and a closed-form asymptotic solution was derived. The stress intensity factors in the vicinity of the interfacial crack tip were predicted by considering both anisotropic characteristics of composites and viscoelastic properties of foam. It was found from the analysis that the stress intensity factor was governed by material properties such as shear modulus and relaxation time, and increased with the increase in the curvature as well as the ratio of stiffness coefficients of composite materials. It was also observed that the effect of fiber orientation in the composite materials on the stress intensity factor decreased with the increase in the difference in stiffness coefficients between foam and composite.

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.

Mode III Yoffe Dynamic Crack Problem on the Interface between Dissimilar Materials

2007 ◽  
Vol 353-358 ◽  
pp. 42-45 ◽  
Author(s):  
Cheng Jin ◽  
Xin Gang Li ◽  
Li Zhang
Keyword(s):  
Crack Problem ◽  
Dynamic Stress Intensity Factor ◽  
Dissimilar Materials ◽  
Shear Loading ◽  
Dynamic Crack ◽  
Mode Iii ◽  
Moving Crack ◽  
Plane Shear ◽  
Shear Moduli ◽  
Laminated Material

A moving crack in a laminated structure with free boundary subjected to anti-plane shear loading is investigated in this paper. Using the bonding conditions of the interface between different media, all the quantities in our question have been represented with a single unknown function, and the problem is transformed into a dual integrated equation with the method of Fourier transform. The equation is solved using Schmidt method. Finally the numerical results show the relationships among the dynamic stress intensity factor and crack velocity, the height of different laminated material, shear moduli of different laminated material.

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.

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.

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