Evaluation of Effective Viscoelastic Properties of Particle Polymer Composite Using Fractional Calculus

机译：利用分数演算评估颗粒聚合物复合材料的有效粘弹性

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Effective viscoelastic properties of polymer composites is evaluated by three phases model of particle composite in frequency domain. Viscoelastic properties of the polymer matrix are identified by a generalized fractional Maxwell model with spring elements and fractional elements using fractional calculus. Viscoelastic solution of three phase model in Laplace transform is obtained from elastic problem in view of corresponding principle. To design damping system of mechanical system, the effective viscoelastic properties of particle composites are presented as complex moduli in frequency domain.

机译：通过频域内颗粒复合物的三相模型评估了聚合物复合物的有效粘弹性。聚合物基体的粘弹性是通过具有分数阶微积分的具有弹簧元素和分数单元的广义分数麦克斯韦模型确定的。结合相应原理，从弹性问题中获得了拉普拉斯变换中三相模型的粘弹性解。为了设计机械系统的阻尼系统，将颗粒复合材料的有效粘弹性表现为频域的复模量。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-4|共4页
会议地点 Nanjing(CN)
作者
Yotsugi Shibuya;
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作者单位

Akita University, Akita 010-8502, Japan;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Polymer Composite; Viscoelesticity; Damping; Fractional Calculus; Sphere Particle;

机译：聚合物复合材料;粘弹性;阻尼;分数阶微积分;球形粒子;

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4. Evaluation of Effective Viscoelastic Properties of Particle Polymer Composite Using Fractional Calculus [C] . Yotsugi Shibuya Symposium on fractional differentiation and its applications . 2012

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Evaluation of Effective Viscoelastic Properties of Particle Polymer Composite Using Fractional Calculus

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