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Asymptotic Behavior of Creep Curves in the Rabotnov Nonlinear Heredity Theory Under Piecewise Constant Loadings and Memory Decay Conditions

机译:分段恒定载荷和记忆衰减条件下Rabotnov非线性遗传理论中蠕变曲线的渐近行为

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摘要

AbstractSome minimal prior constraints are imposed on the two material functions used in the Rabotnov nonlinear constitutive relation. The asymptotic dependence of creep curves on the characteristics of these material functions and on the parameters of loading programs is analytically studied in the case of stepped loadings. Some conditions are obtained for the case when these curves tend to the creep curve under instantaneous loading ast→∞. The importance of the limit value of the creep function derivative at infinity is analyzed for the plastic strain accumulation. A number of distinctions and additional possibilities are found compared to the linear integral relation of viscoelasticity.
机译:摘要 在Rabotnov非线性本构关系中使用的两个材料函数受到一些最小先验约束。在阶跃荷载作用下,蠕变曲线对这些材料功能的特性以及荷载程序参数的渐近性进行了分析研究。当这些曲线在瞬时载荷下趋向蠕变曲线时,如 t →∞,可以获得一些条件。分析了无穷大时蠕变函数导数极限值对于塑性应变累积的重要性。与粘弹性的线性积分关系相比,存在许多区别和其他可能性。

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