Abstract: | A series expansion method is developed in which the small parameter is the deviation of the spherically orthotropic properties
of deformable bodies from their transversally isotropic properties. The problem is reduced to a rigorous analytic solution
of inhomogeneous boundary value problems. The efficiency of the approximation technique developed here and its practical convergence
are examined in a centrally symmetric problem for an orthotropic sphere which permits an exact analytic solution.
Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika,
No. 29, pp. 17–24, 1999. |