Abstract

General properties of the theoretic creep curves for volumetric, longitudinal, and lateral strains generated by the Rabotnov physically nonlinear constitutive equation for non-aging viscoelastic materials under uniaxial loading are studied analytically assuming four material functions of the relation are arbitrary. The expressions for Poisson’s ratio via the strain state parameter and via four material functions of the model are derived. The Poisson ratio dependence on time, stress level and material functions are examined. General two-sided bound for its range is obtained. It is proved that the Rabotnov relation is able to simulate non-monotone behavior and sign changes of lateral strain and Poisson’s ratio. The restrictions on material functions providing negative Poisson’s ratio values are found and the criterion for its nondependence on time is formulated.

中文翻译：

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用Rabotnov非线性关系描述的各向同性粘弹性材料泊松比的非单调性和非负性准则

摘要

假设关系的四个材料函数是任意的，则通过分析研究了在单轴载荷下非老化粘弹性材料的Rabotnov物理非线性本构方程所产生的体积，纵向和横向应变的理论蠕变曲线的一般性质。通过应变状态参数和模型的四个材料函数推导了泊松比的表达式。研究了泊松比对时间，应力水平和材料功能的依赖性。获得其范围的一般双面装订。证明了Rabotnov关系能够模拟非单调行为，并能标志横向应变和泊松比的变化。