Properties of relaxation curves for the case of initial stage of deformation with constant velocity in the linear heredity theory

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. 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 and condition of convergence to the relaxation curve at instantaneous loading with the rise-time tending to zero are analyzed.