Structural Engineering and Mechanics

  • 제7권6호
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  • Pages.601-614
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

The two-scale analysis method for bodies with small periodic configurations

  • Cui, J.Z. (The Institute of Computational Mathematics & Science Engineering Computing, Academia Sinica) ;
  • Shih, T.M. (Department of Applied Mathematics, The Hong Kong Polytechnic University) ;
  • Wang, Y.L. (Department of Mathematics, Zhengzhou University)
  • 발행 : 1999.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

The mechanical behaviours of the structure made from composite materials or the structure with periodic configurations depend not only on the macroscopic conditions of structure, but also on the detailed configurations. The Two-Scale Analysis (TSA) method for these structures, which couples the macroscopic characteristics of structure with its detailed configurations, is configurations, is presented for 2 or 3 dimensional case in this paper. And the finite element algorithms based on TSA are developed, and some results of numerical experiments are given. They show that TSA with its finite element algorithms is more effective.

키워드

참고문헌

  1. Aboudi, J., "Mechanics of composite materials-A unified micro-mechanical approach", Elsevier, Amsterdam-Oxford-New York-Tokyo, 1991.
  2. Bensoussan, A. and Lions, J.L., Papanicolaou, G. (1978). "Asymptotic analysis for periodic structures", Amsterdam; North-Holland.
  3. Cao, L.Q. and Cui, J.Z. (1998), "Finite element computation for elastic structures of composite materials formed by entirely basic configurations", Mathematica Numerica Sinica, 20(3), 279-290.
  4. Cui, J.Z. and Yang, H.Y. (1996), "A dual coupled method of boundary value problems of PDE with coefficients of small period", Intern. J. Comp. Math., 14(2), 159-174.
  5. Cui Jun-zhi (1996), "The two-scale analysis methods for woven composite material and structures with small period", The Advances of Computational Mechanics, Intern. Academic Publisher.
  6. Cui, J.Z., Shin, T.M., Shin, F.G. and Wang, Y.L. "The two-scale analysis for the problem of 2-D and 3-D structures with small periodic configurations", ICM-97 Report, To be Published on Mechnica Sinica.
  7. Oleinik, O.A., Shamaev, A.S. and Yosifian, G.A. (1992), "Mathematical problems in elasticity and homogenization", Amsterdam, North-Holland.
  8. Teply, J.L., Reddy, J.L. and Brockenbrough, J.R. (1992), "A unified formulation of micro-mechanics models of fiber-reinforced composites", Composite Structure, Testing, Analysis and Design, Edited by Reddy et al.

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  18. Statistical Mesomechanics of Solid, Linking Coupled Multiple Space and Time Scales vol.58, pp.6, 2005, https://doi.org/10.1115/1.2048654
  19. Two-scale finite element method for piezoelectric problem in periodic structure vol.32, pp.12, 2011, https://doi.org/10.1007/s10483-011-1521-7
  20. Multi-scale FE computation for the structures of composite materials with small periodic configuration under condition of coupled thermoelasticity vol.20, pp.1, 2004, https://doi.org/10.1007/BF02493573
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  24. Numerical Analysis of Three-Dimensional Braided Composite by Means of Geometrical Modeling Based on Machine Emulation vol.19, pp.1, 2012, https://doi.org/10.1080/15376494.2011.578784
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