An Axisymmetric Crack in Bonded Materials With a Nonhomogeneous Interfacial Zone Under Torsion

1995 ◽  
Vol 62 (1) ◽  
pp. 116-125 ◽  
Author(s):  
M. Ozturk ◽  
F. Erdogan
Keyword(s):  
Crack Opening ◽  
Crack Problem ◽  
Strain Energy Release ◽  
Interfacial Region ◽  
Interfacial Zone ◽  
Mode Iii ◽  
Shear Moduli ◽  
Penny Shaped Crack ◽  
Energy Release Rates ◽  
Shaped Crack

In this study the mode III axisymmetric crack problem for two dissimilar homogeneous materials bonded through a thin layer of nonhomogeneous interfacial region is considered. The shear modulus of the interfacial layer is assumed to be μ2(z) = μ1 exp (αz). It is also assumed that μ3 = μ1 exp (αh), h being the thickness of the layer and μ1 and μ3 the shear moduli of the adherents. The main results of the study are the stress intensity factors, the strain energy release rates and, to a limited extent, the crack-opening displacements obtained as functions of the two primary variables h/a and μ3/μ1 under various loading conditions, where a is the radius of the crack. Some results are also presented for a penny-shaped crack in an unbounded nonhomogeneous medium.

The Mode III Crack Problem in Bonded Materials With a Nonhomogeneous Interfacial Zone

1991 ◽  
Vol 58 (2) ◽  
pp. 419-427 ◽  
Author(s):  
F. Erdogan ◽  
A. C. Kaya ◽  
P. F. Joseph
Keyword(s):  
Stress Field ◽  
Subcritical Crack Growth ◽  
Crack Problem ◽  
Homogeneous Medium ◽  
Interfacial Region ◽  
Interfacial Zone ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Bonded Materials ◽  
Square Root Singularity

In this paper the mode III crack problem for two bonded homogeneous half planes is considered. The interfacial zone is modeled by a nonhomogeneous strip in such a way that the shear modulus is a continuous function throughout the composite medium and has discontinuous derivatives along the boundaries of the interfacial zone. The problem is formulated for cracks perpendicular to the nominal interface and is solved for various crack locations in and around the interfacial region. The asymptotic stress field near the tip of a crack terminating at an interface is examined and it is shown that, unlike the corresponding stress field in piecewise homogeneous materials, in this case the stresses have the standard square root singularity and their variation is identical to that of a crack in a homogeneous medium. With application to the subcritical crack growth process in mind, the results given include mostly the stress intensity factors for some typical crack geometries and various material combinations.

Three-Dimensional Analysis of Cracking in a Multilayered Composite

1995 ◽  
Vol 62 (2) ◽  
pp. 273-281 ◽  
Author(s):  
C. H. Kuo ◽  
L. M. Keer
Keyword(s):  
Integral Equations ◽  
Stiffness Matrix ◽  
Crack Opening ◽  
Crack Problem ◽  
Three Dimensional ◽  
Single Layer ◽  
Singular Integral Equations ◽  
Material System ◽  
Multilayered Composite ◽  
Penny Shaped Crack

The three-dimensional problem of a multilayered composite containing an arbitrarily oriented crack is considered in this paper. The crack problem is analyzed by the equivalent body force method, which reduces the problem to a set of singular integral equations. To compute the kernels of the integral equations, the stiffness matrix for the layered medium is formulated in the Hankel transformed domain. The transformed components of the Green’s functions and derivatives are determined by solving the stiffness matrix equations, and the kernels are evaluated by performing the inverse Hankel transform. The crack-opening displacements and the three modes of the stress intensity factor at the crack front are obtained by numerically solving the integral equations. Examples are given for a penny-shaped crack in a bimaterial and a three-material system, and for a semicircular crack in a single layer adhered to an elastic half-space.

Adhesion Failure in Bonded Rubber Cylinders Part 1: Internal Penny-Shaped Cracks

2003 ◽  
Vol 76 (1) ◽  
pp. 160-173 ◽  
Author(s):  
D. C. Leicht ◽  
O. H. Yeoh ◽  
A. N. Gent ◽  
J. Padovan ◽  
R. L. Mullen
Keyword(s):  
Crack Length ◽  
Strain Energy Release ◽  
Element Analysis ◽  
Shape Factors ◽  
Metal Plates ◽  
Adhesion Failure ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Small Cracks ◽  
Tearing Energy

Abstract Rubber disks bonded between flat parallel metal plates are often used as adhesion test specimens such as ASTMD 429 1999, Method A. However, the mechanics of adhesion failure (debonding) for this geometry have not been fully analyzed previously. Therefore, a study has been conducted of the strain energy release rate (tearing energy) for bonded rubber disks having cracks at the rubber-to-metal bond. In this paper, we consider internal penny-shaped cracks. A future paper will discuss external ring cracks. Finite element analysis was used to determine the tearing energy as a function of crack length for disks of various dimensions (shape factors). The crack configurations considered were an internal penny shaped crack located at the center of either one or both rubber-to-metal bonds. The rubber was assumed to be linearly elastic and nearly incompressible. For any bonded disk held in constant tension, the tearing energy was found to be a non-linear function of crack length. For small cracks, the tearing energy was linearly related to the crack length. As the crack grew, the tearing energy increased until it passed through a maximum value. The peak tearing energy was found to depend on the height of the disk. Finally, for large cracks, the tearing energy decreased as the crack grew. Analytical and empirical models were developed and shown to be in good agreement for both small and large cracks in disks of different dimensions.

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.

Hyperbolic Heat Conduction for a Layered Medium of Finite Thickness with an Interface Crack

2012 ◽  
Vol 271-272 ◽  
pp. 1312-1316
Author(s):  
B. Wang
Keyword(s):  
Heat Conduction ◽  
Interface Crack ◽  
Layered Medium ◽  
Finite Thickness ◽  
Crack Problem ◽  
Homogeneous Medium ◽  
Hyperbolic Heat Conduction ◽  
Thermal Flow ◽  
Penny Shaped Crack ◽  
Shaped Crack

This paper studies the thermal flow concentration near an interface crack in a layered medium. Solution method for the thermal flow intensity factor is established. Both the Griffith crack and the penny-shaped crack are studied. Limiting cases of the current problem include (1) the solution of crack problem associated with classical Fourier heat conduction, (2) the solution of an interface crack in an infinite layered medium, and (3) the solution of a crack in a homogeneous medium.

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