Lamé problem for a weakly anisotropic body with cubic symmetry of elastic properties

V. D. Solovei

Institute of Machine Science, Ural Division, Russian Academy of Sciences, Ekaterinburg, 620219, Russia

Abstract: The Lamé problem is solved for a body with cubic symmetry of elastic properties and the elastic anisotropy parameter is determined. In the case of plane deformation, the stresses in a ring are found to terms of the first order in the small anisotropic parameter. Stresses in a ring of KCl under internal pressure are calculated.

Keywords: weakly anisotropic body, cubic symmetry of elastic properties Lamé problem.

UDC: 539.3

Received: 11.06.2008
Accepted: 05.10.2009

 English version: Journal of Applied Mechanics and Technical Physics, 2010, 51:6, 898–903

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