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The problem of a penny-shaped crack in a non-homogeneous medium under shear

✍ Scribed by J Vrbik; B.M Singh; J Rokne; R.S Dhaliwal

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
81 KB
Volume
21
Category
Article
ISSN
0997-7538

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✦ Synopsis

An integral transform method is used to find the axisymmetric stress distribution in an infinite non-homogeneous elastic solid containing a penny-shaped crack under axial torsion. The non-homogeneity of the medium varies according to the relationship (-ρz), where z is the z-coordinate in the cylindrical polar coordinate system (r, θ, z). A Hankel transform development of the governing equations yields a set of dual integral equations which can in turn be reduced to a Fredholm integral equation of the second kind. Numerical values of the stress intensity factors are displayed graphically to demonstrate the effect of non-homogeneity of the material.

πŸ“œ SIMILAR VOLUMES

The Reissner-Sagoci problem for a non-ho
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✍ H. T. Danyluk; B. M. Singh; J. Vrbik πŸ“‚ Article πŸ“… 1995 πŸ› Springer 🌐 English βš– 540 KB

The present paper examines the elastostatic problem related to the axisymmetric rotation of a rigid circular disc bonded to a non-homogeneous half-space containing a penny-shaped crack. The shear modulus of the half-space is assumed to vary with depth according to the relation #(z) =/zl(z + c) ' ~ ,

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A solution is given for problems involving non!axisymmetric dynamic impact loading of a penny shaped crack in a transversely isotropic medium[ Laplace and Hankel transforms are used to reduce the equations of elasticity to integral equations\ and solutions are obtained for the three modes of fractur