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FE FORMULATION FOR THE VISCOELASTIC BODY MODELED BY FRACTIONAL CONSTITUTIVE LAW

张卫;Nobuyuki Shimizu

   This paper presents finite element (FE) formulation of the vis-coelastic materials described by fractional constitutive law.The time-domain three-dimensional constitutive equation is constructed.The FE equations are set up bytreating the fractional operator as a special case of the hereditary integration.Theequations are solved by numerical integration method.The numerical algorithm de-veloped by the authors for Liouville-Riemann s fractional derivative was adopted toformulate FE procedures and extended to solve the more general case of the hered-itary integration.The numerical examples were given to show the correctness andeffectiveness of the integration algorithm.……   
[关键词]:viscoelasticity;fractional calculus;FEM;polymer materials
[文献类型]:期刊
[文献出处]: 《Acta Mechanica Sinica2001年04期
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