Interaction and multiscale mechanics

  • 제1권2호
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  • Pages.231-250
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  • 2008
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  • 1976-0426(pISSN)
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  • 2092-6200(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

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)
  • 투고 : 2007.12.13
  • 심사 : 2008.05.12
  • 발행 : 2008.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Yu, Y., Cui, J.Z. and Han, F. (2006), "An effective computer generation method for the materials with random distribution of large numbers of heterogeneous grains", Computational Methods in Engineering and Science. Proceeding of the EPMESC X, Sanya, China, pp. 273.
  2. Li, Y.Y. (2004), "Multi-Scale Algorithm Predicting Mechanical/Heat Transfer Parameters of the Composite Materials with Random Grain Distribution of Periodicity", PhD Thesis, Chinese academy of sciences, Beijing.
  3. Li, Y.Y. and Cui, J.Z. (2005), "The multi-scale computational method for mechanics parameters of composite materials with random grain distribution", Composites Science and Technology, 65, 1447-1458. https://doi.org/10.1016/j.compscitech.2004.12.016
  4. Cui, J.Z., Yu, X.G., Han, F. and Yu, Y. (2007), "Statistical Two-Scale Method for Strength Prediction of Composites with Random Distribution and Its Applications", 'Computational Mechanics' Proceedings of ISCM 2007 Edited by Z.H.Yao and M.W. Yuan, July 30-August 1, 2007, Beijing, China, Tsinghua University and Springer, pp. 60-79.
  5. Wang, X.M., Xiao, K.Q. and Ye, L. et al. (2000), "Modelling of mechanical properties of core-shell rubber modified epoxies", Acta Materialia, 48, 579-586. https://doi.org/10.1016/S1359-6454(99)00342-0
  6. Ormaetxea, M., Forcada, J. and Mugika, F. et al. (2001), "Ultimate properties of rubber and core-shell modified epoxy matrices with different chain flexibilities", J Mater. Sci., 36, 845-852. https://doi.org/10.1023/A:1004826529065
  7. Perez-Carrillo, L.A., Puca, M. and Rabelero, M. et al. (2007), "Effect of particle size on the mechanical properties of polystyrene and poly (butyl acrylate) core/shell polymers", Polymer, 48, 1212-1218. https://doi.org/10.1016/j.polymer.2007.01.001

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  10. Prediction of mechanical properties in statistically inhomogeneous core–shell materials by second-order two-scale method pp.1619-6937, 2018, https://doi.org/10.1007/s00707-018-2245-9
  11. A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures vol.3, pp.3, 2008, https://doi.org/10.12989/imm.2010.3.3.213