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

机译:通过组成型方程的积分形式的质量连续固相介质的时间依赖性响应 - 数学建模

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摘要

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.
机译:粘弹性线性理论中边值问题的数学建模。 数学建模理论中的定义和基本原理。 组成型函数及其转化为斯蒂埃特省的一种形式。 代数和相应子集理论的应用。 riesz表示的定理及其衍生构成方程的应用。 用于固相连续介质的应力应变关系的整体算子形式。

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