Stress Interference in Axisymmetric Torsion of a Transversely Isotropic Body (Elasticity, Solid Mechanics, Anisotropic, Stress Concentration)
Heinrich, Stephen Michael
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https://hdl.handle.net/2142/69947
Description
Title
Stress Interference in Axisymmetric Torsion of a Transversely Isotropic Body (Elasticity, Solid Mechanics, Anisotropic, Stress Concentration)
Author(s)
Heinrich, Stephen Michael
Issue Date
1985
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Abstract
An unbounded transversely isotropic body of revolution containing two spheroidal cavities is subjected to torsion about its axis of elastic symmetry, which coincides with its axis of revolution. At large distances from the cavities the elastic field approaches the Saint-Venant solution for the torsion of a circular cylinder. The elasticity solution is obtained in series form and numerical results presented for the case of two spherical cavities. Of primary interest is the degree of stress interference between the two perturbations, as a function of the spacing of the cavities and the values of the elastic constants.
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