A Reissner-Sagoci problem for a non-homogeneous elastic solid
β Scribed by A. P. S. Selvadurai; B. M. Singh; J. Vrbik
- Publisher
- Springer Netherlands
- Year
- 1986
- Tongue
- English
- Weight
- 398 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0374-3535
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β¦ Synopsis
The present paper examines the elastostatic problem related to the axisymmetric rotation of a rigid circular punch which is bonded to the surface of a non-homogeneous isotropic elastic halfspace. The non-homogeneity corresponds to an axial variation of the linear elastic shear modulus according to the exponential form G(z) = G 1 + G 2 e -~z. A Hankel transform development of the governing equations yields a set of dual integral equations which in turn can be reduced to a Fredholm integral equation of the second kind. A numerical evaluation of this integral equation yields results which can be used to estimate the torque-twist relationship for the circular punch. * Professor and Chairman ** Research Fellow *** Associate Professor
π SIMILAR VOLUMES
This paper deals with the problem of twisting of a non-homogeneous, isotropic, half-space by rotating a circular part of its boundary surface (0 r a, z = 0) through a given angle. A ring (a < r < b, z = 0) outside this circle is stress-free and the remaining part (r > b, z = 0) is rigidly clamped. T
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) ' ~ ,
A transversely isotropic linear elastic half-space, z50; with the isotropy axis parallel to the z-axis is considered. The purpose of the paper is to determine displacements and stresses fields in the interior of the half-space when a rigid circular disk of radius a completely bonded to the surface o