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Effect of the Initial Stage of Strain on the Properties of Relaxation Curves Generated by the Rabotnov Nonlinear Relation for Viscoelastic Materials
Moscow University Mechanics Bulletin Pub Date : 2019-08-31 , DOI: 10.3103/s0027133019040010
A. V. Khokhlov

An equation describing a family of stress relaxation curves with arbitrary strain programs at the initial stage generated by the Rabotnov nonlinear constitutive relation with two arbitrary material functions is derived and studied analytically. The effect of the initial stage duration and shape on the properties of relaxation curves is analyzed. Their deviations from each other and from the relaxation curves under instantaneous load are estimated in terms of material functions and strain programs. The convergence of deviations to zero is proved when the time tends to infinity or when the initial stage duration tends to zero.

中文翻译:

应变初始阶段对粘弹性材料Rabotnov非线性关系生成的弛豫曲线性质的影响

推导并分析了一个方程,该方程描述了由具有两个任意材料函数的Rabotnov非线性本构关系生成的初始阶段具有任意应变程序的应力松弛曲线族。分析了初始持续时间和形状对松弛曲线性质的影响。根据材料功能和应变程序,可以估算它们在瞬时载荷下彼此之间以及与松弛曲线之间的偏差。当时间趋于无穷大或初始阶段的持续时间趋于零时,证明偏差趋于零。
更新日期:2019-08-31
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