Two Approaches to the Study of Temperature Effect on the Dissipative Properties of Materials

In order to study the effect of temperature changes on the dissipative properties of materials, two approaches are used. The first approach implies introducing some temperature function under the sign of the integral in the heredity theory equation and simultaneously taking into account the dependence of the elastic modulus on temperature. As a result, based on experimental data on the thermal creep of soils, the expression for determining the hysteresis energy losses under the periodic voltage changes was obtained depending on temperature changes.According to the second approach, the expression for determining the hysteresis energy losses under isothermal conditions at different temperatures was obtained by introducing into the heredity theory equation an approximation of the experimental dependences of instantaneous deformation and temperature creep parameters for steel Kh18 N10T.

Mathematical Analysis of a Thermostatted Equation with a Discrete Real Activity Variable

This paper deals with the mathematical analysis of a thermostatted kinetic theory equation. Specifically, the assumption on the domain of the activity variable is relaxed allowing for the discrete activity to attain real values. The existence and uniqueness of the solution of the related Cauchy problem and of the related non-equilibrium stationary state are established, generalizing the existing results.

THEORETICAL SOLUTION TO THE PROBLEM OF THE PROPAGATION OF STRESSES IN SOILS WHEN EXPOSED TO AXISYMMETRIC RADIAL EFFECTIVE STRESSES

The article discusses issues related to the determination of radial and tangential stresses in the well in the presence of gravitational pressure of the soil mass. The basis is the well-known theoretical solutions of the axisymmetric problem of a thick-walled pipe, namely, the Lame solution. The action of two pressures is considered: the internal pressure р 1 and the external р 2, uniformly distributed over the inner and outer surfaces of the hollow cylinder. As a result of theoretical studies, it was found that the use of the elasticity theory equation to determine radial and tangential stresses in a well with an internal effective pressure s r = р 1, leads to its slow horizontal decrease, which is not observed in practice. The authors proposed solutions that make it possible to obtain closer values of s r for soils. It was also experimentally proved that the value of the active compression region for soil wells with internal effective pressure р 1 is almost two times higher than the value obtained for stamp tests in half-space conditions. The authors obtained mathematical expressions of the strength and stability of wells from gravitational loads of soil.

Two biological constants for accurate classification and evolution pattern analysis of Subgen.strobus and subgen. Pinus

Currently, biological classification and determination of different categories are all based on empirical knowledge,which is obtained relying on morphological and molecular characters. For these methods they lacks of absolutely quantitative criteria ground on intrinsically scientific principles. In fact, accurate science classification must depend on the correct description of biology evolution rules.In this article a new theoretical approach was proposed, in which two characteristic constants were gained from biological common heredity and variation information theory equation, when it is at the maximum information states, corresponding to symmetric and asymmetric variation states. They are common composition ratios, Pg =0.61, and Pg=0.70. By analyzing the common composition ratios of compounds among oleoresins, two pine subgenus:Subgen.Strobus (Sweet) Held and Subgen. Pinus could be integrated into one class, Genus pinus, excellently, when Pg = 0.61.These two pine subgenus could be classified into two groups clearly,when Pg = 0.70.The results is somewhat different from that achieved by means of classical classification relying on morphological characters. On the other hand, the evolution relationship of two subgenus was analyzed based on characteristic sequences of samples, it indicated that white pine origin from pinus tabuliformis. The two constants should be used as the classification constants of some biological categories of plants.