General properties of relaxation curves in the case of the initial stage of strain with a constant rate in the linear heredity theoryстатья
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Аннотация: Basic qualitative properties of the theoretic relaxation curves at ramp strain histories generated by the linear integral constitutive equation with an arbitrary relaxation function are analytically studied herein. Stress and stress rates jumps, monotonicity and convexity intervals of ramp relaxation curves, their asymptotic behavior at infinity, mutual two-sided bounds for relaxation curves and modulus, dependence on initial stage parameters and relaxation modulus properties, condition of convergence to the relaxation curve at instantaneous loading with the rise-time tending to zero are analyzed. The results of the analysis can be helpful to indicate the linear viscoelasticity theory field of applicability or non-applicability considering relaxation ramp test data of a material. They are useful for rational choice of a certain relaxation modulus type, its identification, fitting and verification.
Keywords: viscoelastoplasticity, rise time influence, bounds for ramp relaxation curves and modulus, fading memory, identification