Abstract
We discuss the process of changing and tendency of hysteresis loop and energy dissipation of viscoelastic solid models. One of our conclusions is that, under certain conditions, the sign of (62) is a sufficient and necessary condition for judging the sign of the difference between dissipated energy in the (n+1)th and nth periods. The citation of the strains’ linear superposition expands the applicable domains. We prove that for the fractional-order Kelvin model and under the condition of quasi-linear theory, the above conclusions also hold. Based on experiments, we divide the strains of this paper into three widely used types and we see the constant domain as experimental error.
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Li, Y., Xu, M. Hysteresis loop and energy dissipation of viscoelastic solid models. Mech Time-Depend Mater 11, 1–14 (2007). https://doi.org/10.1007/s11043-007-9027-4
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DOI: https://doi.org/10.1007/s11043-007-9027-4