Date of Award

Summer 1987

Document Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Heinrich, Stephen M.

Second Advisor

Faherty, Keith F.

Third Advisor

Wenzel, Thomas H.


In the present study a computer program is developed for obtaining numerical results for the problem of an unbounded homogeneous transversely isotropic elastic body of revolution containing two spheroidal cavities under general axisymmetric loading. The program is based on the analytical work of Heinrich1, who utilized the displacement potential representation for transverse isotropy introduced by Elliott2. Numerical results are presented for graphite, magnesium, and titanium, as well as for isotropic materials, containing two spherical cavities with various spacings. The loading conditions considered are those of uniaxial tension and hydrostatic tension, each of which is applied far from the cavities. Tables and plots of the stresses at the cavity surfaces clearly demonstrate the influence of anisotropy and void spacing on the intensity of the stress concentration and stress interference phenomena. The accuracy of these results is confirmed by comparing with available solutions for several special cases, as well as by comparing the surface tractions of the solution with their prescribed values. The program may also be used to analyze certain composite materials and stratified soil and rock masses which may be modeled as transversely isotropic.



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