Modeling of rheonomous properties of solid deformable media

E. Z Korol

Izvestiya MGTU MAMI ›› 2013, Vol. 7 ›› Issue (3-1) : 94 -110.

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Izvestiya MGTU MAMI ›› 2013, Vol. 7 ›› Issue (3-1) : 94 -110. DOI: 10.17816/2074-0530-68029
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Modeling of rheonomous properties of solid deformable media

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Abstract

The problems of modeling the stress-strain state of rheological materials by higher order Euler linear differential equations containing derivatives (second and higher order) in time of simultaneously presenting (by Curie condition) stresses and strains, obeying the conditions of stress-strain or deformative-temporal similarity with one or two functions determining the material constants and time functions which are defined by the "standard" system of experiments.

Keywords

summarized forces / summarized flows / complete system of thermodynamic potentials / Gibbs-Helmholtz summarized sequence / Legendre-Euler transformations / Maxwell reciprocity relations / Born generalized diagram / condition (inequation) / equilibrium and stability of system / internal thermodynamic relaxation times and creeping / defining ratio

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E. Z Korol. Modeling of rheonomous properties of solid deformable media. Izvestiya MGTU MAMI, 2013, 7(3-1): 94-110 DOI:10.17816/2074-0530-68029

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