Parametric vibrations of orthotropic plates with complex shape

The paper proposes a method to study the parametric vibrations of orthotropic plates with complex shape. The method is based on the R-function theory and variational methods. Dynamic-instability domains and amplitude–frequency responses for plates with complex geometry and different types of boundary conditions are plotted     

Stress concentration in incompressible multicomponent materials

A method for determining the effective elastic constants and the factors of stress concentration in microstructural elements is proposed for nonlinear incompressible multicomponent composite materials randomly reinforced with spheroidal inclusions with an arbitrary ratio of the longitudinal and lateral dimensions. Use is made of the Mori-Tanaka scheme that has, as a first approximation, the result of calculation of the elastic characteristics based on a model taking account of two-point statistical moment functions of arbitrarily high order. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 3, pp. 108–114, March, 2000.     

Stress concentration in viscoelastic transversally isotropic hyperboloid

The stress redistribution over time in a viscoelastic transversally isotropic hyperboloid of revolution is studied. The material has the property of slipping creep in the planes perpendicular to the isotropy plane. The body is subjected to uniaxial tension. An analytical solution is obtained on the basis of the Boltzmann-Volterra principle and the operator chain-fraction method. In calculating the stress concentration in the hyperboloidal body, the properties of the material are described by integral operators with a Rabotnov kernel. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 33–41, March, 1999.     

Stress concentration around holes in conical shells

Kiev University. Translated from Prikladnaya Mekhanika, Vol. 26, No. 7, pp. 38–43, July, 1990.     

Stability of transients in shells of complex shape

Kiev Institute of Construction Engineering. Translated from Prikladnaya Mekhanika, Vol. 24, No. 6, pp. 48–55, June, 1988.     

Stress concentration around several holes in structural elements

Conclusions Our analysis of specific numerical results for nonclassical problems has thus established two conclusions.1. The stresses do not increase monotonically as the holes are brought closer together (in the case of problems for shells under static loading and for plates under dynamic loading).2. For several holes in the case of problems for plates under dynamic loading, the maxima of the stress concentration factors can occur in the interior of the main region rather than at the edges of the holes, depending on the frequency and form of the applied load.These conclusions do not apply to classical problems (the planar problem under static loading) and must therefore be taken into account when stress concentrations are created.Because of space limitations, the concluding part of this article was not included in the EPMESC'92 Conference Proceedings and is therefore published here in its entirety.This is the complete text of a paper that was presented by the author at the EPMESC'92 International Conference in Talien, China, June 30-August 2, 1992, but was not published in its entirely in the Conference Proceedings.S. P. Timoshenko Institute of Mechanics, Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 4, pp. 6–13, April, 1994.