Closure to “Discussion of ‘The Crack Problem for Bonded Nonhomogeneous Materials Under Antiplane Shear Loading’” (1986, ASME J. Appl. Mech., 53, p. 729)

1986 ◽  
Vol 53 (3) ◽  
pp. 729-729
Author(s):  
F. Erdogan
Keyword(s):  
Crack Problem ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Nonhomogeneous Materials

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.

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.

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 bonded finite wedges with an interfacial crack under antiplane shear loading

2009 ◽  
Vol 223 (10) ◽  
pp. 2213-2223 ◽  
Author(s):  
A R Shahani ◽  
M Ghadiri
Keyword(s):  
Singular Integral ◽  
Interfacial Crack ◽  
Singular Integral Equations ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Complete Agreement ◽  
Free Condition ◽  
Special Cases ◽  
Crack Tips ◽  
Comparison Of The Results

Antiplane shear deformation of bonded finite wedges with an interface crack is studied in this article. The traction-free condition is imposed on the circular segment of the wedge. Boundary conditions on the radial edges are considered as traction—traction. In order to solve this problem a novel mathematical technique has been employed. This technique consists of the use of some recently proposed finite complex transforms, which have complex analogies to the standard finite Mellin transforms of the first and second kinds. However, for the problem of bonded wedges with an interfacial crack, first it is necessary to express the traction-free condition of the crack faces in the form of a singular integral equation, which is done in this article by describing an exact analytical method. The resultant singular integral equations are then solved numerically and the obtained results including the stress intensity factors at the crack tips are plotted. Comparison of the results in the special cases shows a complete agreement with those cited in the literature.

Stress Singularity at the Tip of a Rigid Line Inhomogeneity Under Antiplane Shear Loading

1986 ◽  
Vol 53 (2) ◽  
pp. 459-461 ◽  
Author(s):  
Z. Y. Wang ◽  
H. T. Zhang ◽  
Y. T. Chou
Keyword(s):  
Stress Singularity ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Rigid Line
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