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

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.

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.

Analysis of Stress Singularity Induced in Viscoelastic Thin Layer Subjected to Shear Loading

2003 ◽  
Vol 17 (08n09) ◽  
pp. 1248-1253
Author(s):  
Myung Kyu Park ◽  
Sang Soon Lee ◽  
Chang Min Suh
Keyword(s):  
Thin Layer ◽  
Edge Crack ◽  
Viscoelastic Model ◽  
Stress Singularity ◽  
Adhesive Layer ◽  
Rigid Bodies ◽  
Shear Loading ◽  
Linear Viscoelastic ◽  
Viscoelastic Theory ◽  
Linear Viscoelastic Theory

This paper deals with the stress singularity developed in a viscoelastic thin layer bonded between two rigid bodies and subjected to a shear loading. A boundary element method is employed to investigate the behavior of interface stresses. Within the context of a linear viscoelastic theory, a stress singularity exists at the point where the interface between one of the rigid adherends and the adhesive layer intersects the free surface. Numerical results are presented for a given viscoelastic model, indicating that such stress singularity might lead to edge crack or delamination.

On the Changing Order of Singularity at a Crack Tip

1977 ◽  
Vol 44 (4) ◽  
pp. 625-630 ◽  
Author(s):  
R. J. Nuismer ◽  
G. P. Sendeckyj
Keyword(s):  
Closed Form ◽  
Stress Singularity ◽  
Closed Form Solution ◽  
Crack Tip ◽  
Form Solution ◽  
Square Root ◽  
Rigid Line Inclusion ◽  
Rigid Line ◽  
Line Inclusion ◽  
Crack Tip Stress

The nature of the transition in the crack tip stress singularity from an inverse square root to an inverse fractional power as a crack tip reaches a phase boundary or a geometrical discontinuity for interface cracks is examined. This is done by analyzing the simple closed-form solution to the problem of a rigid line inclusion with one side partially debonded for the case of antiplane deformation. For this example, the crack tip stress singularity changes from an inverse square root to an inverse three-quarters power as the crack tips approach the inclusion tips (i.e., when one face of the rigid line inclusion is completely debonded). A detailed analysis, based on series expansions of the closed-form solution, is used to show how the singularity transition occurs. Moreover, the expansions indicate difficulties that may be encountered when solving such problems by approximate methods.

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.

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