Viscoelastic Effects in Solid Phase Continuous Media - Stress-Strain Relations

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 theory of representation and its application for derivation of constitutive equations. Integral and differential operator forms of stress-strain relationships for a solid-phase continuous media.

• Periodical: Applied Mechanics and Materials (Volume 837)
• Pages: 121-126
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.837.121
• Online since: June 2016
• Authors: Ivana Veghova*, Jozef Sumec
• Keywords: Algebraic Sets Structures, Algebraic Subsets Structures, Constitutive Functional, Differential Operator Forms of Stress-Strain Relationships, Integral Operator Forms of Stress-Strain Relationships, Riesz Theorem

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