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《Journal of Shandong University(Natural Science)》 2004-03
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Creep compliance of fractional viscoelastic models: generalized Zener and Poynting-Thomson models

QI Hai-tao & XU Ming-yu (School of Math, and System Sci. , Shandong Univ. , Jinan 250100, Shandong, China)  
Rheological constitutive equations with fractional derivatives have played an important role in the description of the properties of viscoelasticity. On the basis of the method of fractional element proposed by Schiessel et al and of the generalized fractional element networks proposed by Xu and Tan and by the use of discretization method for solving the inverse Laplace transform, obtain the creep compliance of Zener and Poynting-Thomson models which are composed of the generalized fractional element networks.
【Fund】: 国家自然科学基金资助项目(10272067);; 教育部博士点基金资助项目(20030422046)
【CateGory Index】: TB112
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