中国物理B ›› 2003, Vol. 12 ›› Issue (11): 1187-1193.doi: 10.1088/1009-1963/12/11/301

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Heterogeneous anisotropic complex structure gradual model and constitutive relation

张志民1, 李永2, 宋健2   

  1. (1)Center of Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; (2)State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China
  • 收稿日期:2003-05-13 修回日期:2003-07-23 出版日期:2003-11-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.50175057).

Heterogeneous anisotropic complex structure gradual model and constitutive relation

Li Yong (李永)a, Song Jian (宋健)a, Zhang Zhi-Min (张志民)b    

  1. a State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China; b Center of Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2003-05-13 Revised:2003-07-23 Online:2003-11-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No.50175057).

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摘要： Four new gradually delaminate models of the three-dimensional macro-/mesoscopic structure and delamination of the heterogeneous anisotropic composite (HAC) are set up by conducting research into its structure and performance. A general theory, which demonstrates the three-dimensional constitutive relation of the macro-/mesoscopic performance of this structure is further developed. The macroscopic expression of HAC is presented in terms of a Tanigawa delaminate homogeneous equivalent approach, the mesoscopic problems are analysed utilizing Eshelby－Mori－Tanaka theory, with the introduction of the representative volume elements of monolayer single unit cell and interlaminar double unit cells. According to the gradual continuity of the structure as a whole, great attention is given to the modelling and research of the interlaminar macroscopic and mesoscopic problems of HAC structure. Comparison with the existing solutions is made through calculation of typical cases.

Abstract: Four new gradually delaminate models of the three-dimensional macro-/mesoscopic structure and delamination of the heterogeneous anisotropic composite (HAC) are set up by conducting research into its structure and performance. A general theory, which demonstrates the three-dimensional constitutive relation of the macro-/mesoscopic performance of this structure is further developed. The macroscopic expression of HAC is presented in terms of a Tanigawa delaminate homogeneous equivalent approach, the mesoscopic problems are analysed utilizing Eshelby－Mori－Tanaka theory, with the introduction of the representative volume elements of monolayer single unit cell and interlaminar double unit cells. According to the gradual continuity of the structure as a whole, great attention is given to the modelling and research of the interlaminar macroscopic and mesoscopic problems of HAC structure. Comparison with the existing solutions is made through calculation of typical cases.

Key words: HAC, constitutive relation, mesoscopic, Tanigawa approach

中图分类号:  (Multilayers)

  • 68.65.Ac
62.20.-x (Mechanical properties of solids)