Solutions of dynamic problems for incompressible and slightly compressible helically orthotropic non-uniform thick-walled cylinders

Romashchenko, V. A.

doi:10.1016/j.jappmathmech.2007.03.013

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2011

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“…An analytical method could be applied for convergence study of wave solutions for D i ® +0 in relation to the precise ones earlier obtained for D i = 0. Similar approach has been used in [7] for incompressible cylinders under plane strain conditions. However such approach is quite cumbersome and not enough demonstrative.…”

Section: Introductionmentioning

confidence: 99%

The elastic theory dynamic problem for a transtropic multilayer sphere

Romashchenko

Tarasovskaya

2011

Strength Mater

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The analytical solution is obtained in quadratures of the elastic theory dynamic centrally-symmetric boundary problems of the same class for multilayer transtropic spheres, the sonic speed in the radial direction of which tends to infinity. Convergence and accuracy of the derived solutions are analyzed. It is shown that the analytical solutions obtained can be used as the first approximation for the cases where the sonic speed in materials is finite.

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Section: Introductionmentioning

confidence: 99%