| 高阶的分数阶的粘弹性材料本构模型的复模量与复柔量 |
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| 引用本文： | 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].山东大学学报(理学版),2008,43(4):85-88. |
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| 作者姓名： | 刘甲国 |
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| 作者单位： | 山东大学威海分校应用数学系,山东,威海,264209 |
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| 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。
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| 关 键 词： | 分数阶微积分 粘弹性 高阶的分数阶本构方程 复模量 复柔量 |
| 文章编号： | 1671-9352(2008)04-0085-04 |
| 修稿时间： | 2007年12月12 |
The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials |
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| LIU Jia-guo.The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials[J].Journal of Shandong University,2008,43(4):85-88. |
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| Authors: | LIU Jia-guo |
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| Institution: | Department of Mathematics, Shandong University at Weihai, Weihai 264209, Shandong, China |
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| 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. |
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| Keywords: | fractional calculus viscoelasticity higher-order fractional constitutive equation complex modulus complex compliance |
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