Exact analytic solutions of three-dimensional boundary-value problems of the statics of a transversely isotropic body of canonical form (Survey)

Conclusion Thus, we have described some of the approaches used to solve three-dimensional problems of the statics of isotropic and transversely isotropic bodies, and we have systematized results from the construction of analytic general solutions to problems of the theory of elasticity of transversely isotropic bodies of canonical form. These solutions have in turn been used to solve numerous specific problems on stress concentration near notches, cavities, inclusions, and cracks, as well as problems concerning the contact interaction of an elastic half-space with elliptical and parabolic dies. Translated from Prikladnaya Mekhanika, Vol. 33, No. 10, pp. 3–30, October, 1997.