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A micromechanical analysis of the nonlinear elastic and viscoelastic constitutive relation of a polymer filled with rigid particles

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Abstract

Micromechanical theory is applied to study the nonlinear elastic and viscoelastic constitutive relations of polymeric matrix filled with high rigidity solid particles. It is shown that Eshelby's method can be extended to the case of nonlinear matrix and Eshelby's tensor still exists provided that Poisson's ratio of the nonlinear matrix assumes constant value in deforming process and the rigidity of elastic filling particles is much higher than that of the matrix. A new method for averaging process is proposed to overcome the difficulty that occured in applying the ordinary equivalent inclusion method or the self-consistant method to nonlinear matrices. A rather simple constitutive equation is obtained finally and the strengthening effect of solid particles to composites is investigated.

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Authors and Affiliations

  1. Department of Mechanics, Peking University, 100871, Beijing, China

    Yang Liming

  2. Ningbo University, 315211, Ningbo, China

    Wang Lilih

  3. LNM, Institute of Mechanics, CAS, 100080, Beijing, China

    Zhu Zhaoxiang

Authors
  1. Yang Liming
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  2. Wang Lilih
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  3. Zhu Zhaoxiang
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Additional information

The work supported by the LNM, Institute of Mechanics, Chinese Academy of Sciences and by the National Natural Science Foundation of China

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Liming, Y., Lilih, W. & Zhaoxiang, Z. A micromechanical analysis of the nonlinear elastic and viscoelastic constitutive relation of a polymer filled with rigid particles. Acta Mech Sinica 10, 176–185 (1994). https://doi.org/10.1007/BF02486588

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  • DOI: https://doi.org/10.1007/BF02486588

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