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Interface Phenomena and Interaction Energy at the Surface of Electroconductive Solids

100%

Nahirnyj T. , Tchervinka K.

Computational Methods in Science and Technology

2008

tom Vol. 14, nr 2

105-110

For the local gradient approach in thermomechanics, the regularities of nearsurface nonhomogeneity in nonferromagnetic electroconductive solids, including the size effect of the ultimate stress limit are studied. It is noted that surface values of interaction energy and thermodynamic electric potential are determined by physical and geometrical properties of a body.

Modelling and Investigation of Temperature Influence on Normal Mode of the Layer Oscillations

100%

Nahirnyj T. , Tchervinka K.

Vibrations in Physical Systems

2004

tom Vol. 21

279--282

In this paper the boundary value problems for local gradient body are formulated and investigated. Using averaging over oscillation period operation there is obtained the set of differential equations for determining the averaged and wave components of thermo-elastic fields. The methods for approximate integration of this set are proposed (using expansion over the small parameter of the problem). The normal mode layer oscillations are studied for various mechanical conditions at the layer surfaces (fixed surfaces, one surface is fixed, both surfaces are free). The analysis of equations for normal mode frequency is carried out. The frequencies dependences on temperature and parameters being characteristics of interface nonhomogeneity are studied.

Mathematical modeling of the coupled processes in nanoporous bodies

100%

Nahirnyj T. , Tchervinka K.

Acta Mechanica et Automatica

2018

tom Vol. 12, no. 3

196--203

The methods of irreversible thermomechanics and functional analysis are used to formulate the mathematical model of thermoelastic solid body taking account of structural heterogeneity of the body material and geometric irregularity of its surface. The density and the chemical potential of skeleton among others are included into the state parameters space. The source of skeleton mass reconciles the actual and reference body states and may be associated with real surface forming method. The analysis of model problem solutions shows that the model is appropriate to describe coupled processes in porous and nanoporous bodies. It allows studying the size effects of strength, elastic moduli, etc. caused by near-surface non-homogeneity.