УДК 539.3
Rudakov K., Jakovlev A. The National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine (
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MODELLING OF THE LARGE STRAINS. THE MESSAGE 2. THE TEMPERATURE STRAINS
Abstract. In the notice 1 it has been considered, whether how the idea of Lee`s multiplicative breakingup of a gradient of elastic and plastic strains of CauchyGreen can be used in the generalized breakingup in case of simultaneous presence of four types of strains: temperature, elastic, plastic and creeping. In the given notice there have been shown the solutions of a problem of extract of temperature strains from the others, for the first time solved in R. Stojanović`s papers with coauthors for a thermo elasticity case. On a numerical example the convergence of such separation to a case of infinitesimal strains is displayed. For the purpose of creation of the physical equations of a condition the second law of thermodynamics is used. Parametres of a functional which describes specific free energy of deformable system are defined. Also the circuit of the account of temperature dependence of the factor of the temperature elongation, created on the basis of geometrical interpretation of this dependence is described. Actually in one place all data on definition of temperature deformations are collected at modelling of the large deformations and at simultaneous presence of four types of deformations: thermal, elastic, plasticity and creep.
Keywords: large strains, multiplicate decomposition, temperature strains, factor of the temperature elongation.
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