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A pair of equal collinear interfacial griffith cracks

Das S., Patra B.

Applied Mechanics and Engineering

1999

Vol. 4, no. 1

97-112

The plane strain problem of determining stress intensity factors and crack energy for a pair of equal collinear moving Griffith cracks situated at the interface of two bonded dissimilar orthotropic half planes has been considered. The problem is reduced to solving a pair of simultaneous singular integral equations which have finally been solved by using Jacobi polynomials. Expressions for stress intensity factors and crack energy are obtained for some particular cases and the results are presented graphically.

Two collinear griffith cracks in an orthotropic strip with punches

Singh P. C., Patra B., Maulik T. N.

Applied Mechanics and Engineering

1998

Vol. 3, no. 4

621-653

Integral transform technique is employed to solve the elastodynamic problem of steady-state propagation of two symmetrically situated identical collinear Griffith cracks along the mid plane of orthotropic strip of finite thickness 2h with centrally situated moving punches along the boundaries of the layer. The problem is reduced to the solution to a pair of simultaneous singular integral equations with Cauchy type singularities which have finally been solved through finite Hilbert transform technique. For large h, analytical expressions for the local stress field near the crack tip and the stress intensity factors are obtained. Graphical plots of the numerical results are also presented.

Interaction between three line cracks in a sandwiched orthotropic layer

Das S., Patra B.

Applied Mechanics and Engineering

1998

Vol. 3, no. 2

249-269

The paper deals with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic elastic layer of finite thickness 2h sandwiched between two identical orthotropic half planes. The Fourier Transform Technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cook's result. The analytical expressions for the stress intensity factors and stress magnification factors at the crack tips are obtained for large h. Numerical results for stress intensity factors and stress magnification factors have been illustrated graphically.