高阶的分数阶的粘弹性材料本构模型的复模量与复柔量

高阶的分数阶的粘弹性材料本构模型的复模量与复柔量

刘甲国

山东大学威海分校应用数学系, 山东威海 264209

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 刘甲国

The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials

LIU Jia-guo

Department of Mathematics, Shandong University at Weihai, Weihai 264209, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LIU Jia-guo

摘要/Abstract

摘要： 应用分数阶微积分理论,基于高阶的分数阶的粘弹性材料本构模型,讨论了FVMP模型的复模量与FVMS模型的复柔量,并给出相应的理论曲线。本文结果将对粘弹性材料的力学实验具有重要的理论指导意义。

关键词: 分数阶微积分, 复柔量 , 复模量, 高阶的分数阶本构方程, 粘弹性

Abstract: By the theory of fractional calculus (FC) based higher-order fractional constitutive models of visco-elastic materials, the complex modulus of FVMP model and complex compliance of FVMS model were discussed.The theory curves were also given. The results are significant in guilding dynamical tests on viscoelastic materials.

Key words: complex compliance , complex modulus, higher-order fractional constitutive equation, viscoelasticity, fractional calculus

中图分类号:

TB112

刘甲国 . 高阶的分数阶的粘弹性材料本构模型的复模量与复柔量[J]. J4, 2008, 43(4): 85-88 .

LIU Jia-guo . The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials[J]. J4, 2008, 43(4): 85-88 .

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