Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (3): 297-297 .doi: https://doi.org/10.1007,10483-007-0303-1

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Effective viscoelastic behavior of particulate polymer composites at finite concentration

李丹1;胡更开1 2   

  1. 1.Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081,P.R.China; 2. National Key Lab for the Prevention and Control of Explosion Disaster, Beijing Institute of Technology, Beijing 100081,P.R.China
  • 收稿日期:2006-03-13 修回日期:2006-11-29 出版日期:2007-03-25 发布日期:2007-03-25

Effective viscoelastic behavior of particulate polymer composites at finite concentration

  1. 李丹1;胡更开1 2
  • Received:2006-03-13 Revised:2006-11-29 Online:2007-03-25 Published:2007-03-25

摘要: Polymeric materials usually present some viscoelastic behavior. To improve the mechanical behavior of these materials, ceramics materials are often filled into the polymeric materials in form of fiber or particle. A micromechanical model was proposed to estimate the overall viscoelastic behavior for particulate polymer composites, especially for high volume concentration of filled particles. The method is based on Laplace transform technique and an elastic model including two-particle interaction. The effective creep compliance and the stress and strain relation at a constant loading rate are analyzed. The results show that the proposed method predicts a significant stiffer response than those based on Mori-Tanaka's method at high volume concentration of particles.

关键词: finite concentration, particulate polymer composite, viscoelasticity, micromechanics

Abstract: Polymeric materials usually present some viscoelastic behavior. To improve the mechanical behavior of these materials, ceramics materials are often filled into the polymeric materials in form of fiber or particle. A micromechanical model was proposed to estimate the overall viscoelastic behavior for particulate polymer composites, especially for high volume concentration of filled particles. The method is based on Laplace transform technique and an elastic model including two-particle interaction. The effective creep compliance and the stress and strain relation at a constant loading rate are analyzed. The results show that the proposed method predicts a significant stiffer response than those based on Mori-Tanaka's method at high volume concentration of particles.

Key words: particulate polymer composite, viscoelasticity, micromechanics, finite concentration

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