Interaction and multiscale mechanics

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The statistical two-order and two-scale method for predicting the mechanics parameters of core-shell particle-filled polymer composites

  • Han, Fei (Department of Applied Mathematics, Northwestern Polytechnical University) ;
  • Cui, Junzhi (Academy of Mathematics and System Sciences, Chinese Academy of Sciences) ;
  • Yu, Yan (Department of Applied Mathematics, Northwestern Polytechnical University)
  • Received : 2007.12.13
  • Accepted : 2008.05.12
  • Published : 2008.06.25
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Abstract

The statistical two-order and two-scale method is developed for predicting the mechanics parameters, such as stiffness and strength of core-shell particle-filled polymer composites. The representation and simulation on meso-configuration of random particle-filled polymers are stated. And the major statistical two-order and two-scale analysis formulation is briefly given. The two-order and two-scale expressions for the strains and stresses of conventionally strength experimental components, including the tensional or compressive column, the twist bar and the bending beam, are developed by means of their classical solutions with orthogonal-anisotropic coefficients. Then a new effective mesh generation algorithm is presented. The mechanics parameters of core-shell particle-filled polymer composites, including the expected stiffness parameters, minimum stiffness parameters, and the expected elasticity limit strength and the minimum elasticity limit strength, are defined by means of the stiffness coefficients and elasticity strength criterions for core, shell and matrix. Finally, the numerical results for predicting both stiffness and elasticity limit strength parameters are compared with the experimental data.

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References

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