Cyclic loading of rubbers - amplitude spectrum and payne effect

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2017-01-01
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Introducing nonlinear integral constitutive equation with singular kernels the authors have obtained the stressstrain hysteresis curves in the case of imposed large strains (stresses), respectively. The respective solutions of the integral equations are represented in Fourier series, which coefficients being convergent are used to obtain the Fourier amplitude spectrum and the amplitude dependence (decreasing) of the storage modulus - the so called Payne effect. The respective enhancement of the compliance with the imposed stress amplitude is also discussed. The experimental data obtained for polyisoprene rubber well agree with the theoretical predictions.
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