Analysis of Creep Curves General Properties under Step Loading Generated by the Rabotnov Nonlinear Relation for Viscoelastic Plastic Materials

We analyze basic properties of the theoretic creep curves under arbitrary piecewise-constant uniaxial stress histories generated by the Rabotnov constitutive relation with two material functions for elastoviscoplastic materials which exhibit a pronounced nonlinear heredity, rate sensitivity and multi-modulus behavior. Under minimal primary restrictions on the material functions of the relation, we study analytically the creep curves properties dependence on creep compliance function and loading program parameters, their asymptotic behavior at infinity, conditions of memory fading, formula for plastic strain after complete unloading (after recovery), influence of stress steps permutation, relations for strain and strain rate jumps produced by given stress jumps, etc. We compare the qualitative features of theoretic creep curves to typical test creep curves properties of rheonomous materials under multistep uniaxial loadings in order to examine the Rabotnov relation abilities to provide an adequate description of basic rheological phenomena related to creep and recovery, to find the zones of material functions influence and necessary phenomenological restrictions on material functions, to indicate the field of applicability or non-applicability of the model and to develop techniques for its identification and tuning. We compare the arsenal of capabilities of the Rabotnov nonlinear constitutive relation and its applicability scope to capabilities of the Boltzmann - Volterra linear viscoelasticity theory which was generalized to state the Rabotnov relation. We elucidate the inherited properties and the acquired properties due to the introduction of the second material function providing a sort of physical non-linearity.

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