Journal of Mathematical Sciences

, Volume 101, Issue 1, pp 2737–2742 | Cite as

An approach to solving axially symmetric problems for spherical orthotropic bodies

  • B. Yu. Nemish


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.


Elastic Constant Exact Analytic Solution Deformable Body Isotropic Body Symmetric Problem 
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© Kluwer Academic/Plenum Publishers 2000

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  • B. Yu. Nemish

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