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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 837Time-Dependent Response of Mass Continuous Solid...

Time-Dependent Response of Mass Continuous Solid Phase Media by Integral Form of Constitutive Equations - Mathematical Modeling

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Abstract:

Mathematical modeling of boundary value problems in linear theory of viscoelasticity. Definitions and basic principles in the mathematical modeling theory. Constitutive functional and its transformation into a form of Stieltjes integral. Application of theory of algebraic sets and corresponding subsets. Riesz theorem of representation and its application for derivation of constitutive equations. Integral operator forms of stress-strain relationships for a solid-phase continuous media.

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Periodical:

Applied Mechanics and Materials (Volume 837)

Pages:

163-166

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.837.163

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Online since:

June 2016

Authors:

Jozef Sumec*, Lubos Hrustinec

Keywords:

Algebraic Structures, Boundary Value Problems, Constitutive Functional, Riesz Theorem, Solid-Phase Continuous Media

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