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Hysteresis loop and energy dissipation of viscoelastic solid models
Li Yan * #,Xu Mingyu *
Shandong University
*Correspondence author
#Submitted by
Funding: 博士点基金(No.20030422046)
Opened online:21 November 2006
Accepted by: none
Citation: Li Yan,Xu Mingyu.Hysteresis loop and energy dissipation of viscoelastic solid models[OL]. [21 November 2006] http://en.paper.edu.cn/en_releasepaper/content/9741
In this paper the process of changing and the tendency of hysteresis loop and energy dissipation of viscoelastic solid models were studied. One of the conclusions is that under certain conditions, the sign of (65) is a sufficient and necessary condition for judging the sign of the difference between dissipated energy in the (n+1)th period and nth period. It has been proved that the Boltzmann superposition principle also holds for inputted strain being constant on some domains. At the same time it was shown that for the fractional-order Kelvin model and under the condition of quasi-linear theory the above conclusions also hold.
Keywords: Viscoelastic solid models, relaxation modulus, Boltzmann superposition principle, hysteresis loop, energy dissipation, quasi-linear principle, fractional derivative theory.

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