KVAZISTATYCHNYY THERMOELASTICITY INHOMOGENOUS ELEMENTS MACHINES AND MECHANISMS IN MODERN FOOD TECHNOLOGY
Abstract
There was suggested the investigation method of the influence of the presented non-stationary environment temperature conditions on the course of physical and mechanical processes in heterogeneous plate and cylinder structures of the working equipment, hardware tools and machinery of modern food production. Following this aim there was formulated a corresponding quasistatic problem of thermoelasticity for inhomogeneous and piecewise homogeneous structures and compound bodies or bodies in the form of basic matrices containing foreign (the through or non-through) inclusions of various shapes and species. These are new problems (mainly three-dimensional) of thermomechanics inhomogeneous structures. Therefore on output of the corresponding Dyugamelya – Neumann's relations there is taken into account that the whole complex of physical-mechanical, thermalphysical and geometric characteristics of the inhomogeneous structure bodies as a single unit (Lame’s coefficients, Young's modulus and shear modulus, Poisson's ratio and the temperature coefficient of linear expansion) are functions of cylindrical coordinates. On the basis of additional hypotheses and assumptions the construction of such layered and composite environment models allows to consider the microstructure of the material and to determine the macroscopic parameters; that is, to solve problems of thermomechanics multicomponent media. Taking into account the hypothesis of immutable rules in the work there were derived examples for the components of the stress tensor and interconnection of differential equations system of second order thermoelasticity in partial derivatives for displacements vector components.
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