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General properties of relaxation curves in the case of the initial stage of strain with a constant rate in the linear heredity theory

机译:线性遗传理论中应变恒定时松弛初期曲线的一般性质

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摘要

Qualitative properties of relaxation curves are analytically studied in the case of linear-time strain at the initial stage. These curves are induced by an integral constitutive relation of viscoelasticity with an arbitrary relaxation function. Among these properties are the intervals of monotonicity and convexity, jumps, breaks, the asymptotics of curves, their dependence on the parameters of the initial stage of strain and on the properties of a relaxation function, the convergence type of a family of relaxation curves when the duration of the initial stage tends to zero, etc.
机译:在初始阶段线性时间应变的情况下,分析研究了松弛曲线的定性性质。这些曲线是由具有任意松弛函数的粘弹性的积分本构关系引起的。这些特性包括单调性和凸性的间隔,跳跃,断裂,曲线的渐近性,它们对应变初始阶段的参数的依赖以及松弛函数的特性,松弛曲线族的收敛类型。初始阶段的持续时间趋于零,等等。

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