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-∫t 0ψB(t-τ)dτ, C(t)=C0-∫t0ψc(t-τ)dτ,where A0, B0, C0 are the cocfficients at t=0.The above equation was derived as one of the approximation equations of the expansion type from the constitutive equation for Green-Rivlin viscoelastic bodies. An experimental equation, f0=κf∞, is also introduced into the equation, where f0, f•‡, are respectively the initial tension and the relaxed equilibrium tension during stress relaxation of carbon black filled rubber; and K is a constant almost independent of the kinds of black fillers, of concentration, and of extension ratio. Stress relaxation data for HAF black filled SBR under large deformations are compared with the equation obtained.

Analysis of Stress Relaxation of Reinforced Rubber Vulcanizates under Large Deformations with a Series-Expanded Constitutive Equation