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The Reissner-Sagoci problem for a non-homogeneous half-space with a penny-shaped crack

✍ Scribed by H. T. Danyluk; B. M. Singh; J. Vrbik

Publisher
Springer
Year
1995
Tongue
English
Weight
540 KB
Volume
29
Category
Article
ISSN
0022-0833

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✦ Synopsis

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) ' ~ , c > 0 and #1, a are constants. Using Hankel transforms, the solution of the problem is reduced to integral equations and finally to simultaneous Fredholm integral equations of the second kind. By solving numerically the simultaneous Fredholm integral equations, results are obtained which are used to estimate the stress intensity factor at the crack tip and the torque required to rotate the disc through an angle ~c0.

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