On physical and mathematical representation of the determining functions for the macroscopic equations of rheological complex media

Georgy D. Fedorovsky

doi:10.1117/12.726776

10 April 2007 On physical and mathematical representation of the determining functions for the macroscopic equations of rheological complex media

Georgy D. Fedorovsky

Author Affiliations +

Proceedings Volume 6597, Nanodesign, Technology, and Computer Simulations; 659716 (2007) https://doi.org/10.1117/12.726776
Event: Nanodesign, Technology, and Computer Simulations, 2006, Olsztyn, Poland

Abstract

Possibilities of the optimum physical and mathematical description of determining functions for the equations of reological complex media are considered. Linear and nonlinear thermo-tenacity-elasticity, long durability functions and functions of the achievement of the limit of fluidity are analyzed. It is shown that for nontrivial heterogeneous media simple physical dependences are inapplicable. The kind of functions essentially depends on the concept on which the equation of state is based. The mathematical form of functions is of no lesser important than the physical form because the convenience of description, calculations and the chance of the conversion of this equation depends on it.

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Georgy D. Fedorovsky "On physical and mathematical representation of the determining functions for the macroscopic equations of rheological complex media", Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659716 (10 April 2007); https://doi.org/10.1117/12.726776

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