Free Access
Volume 38, Number 5, September-October 2004
Page(s) 877 - 897
Published online 15 October 2004
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  3. D.N. Arnold, A.L. Madureira and S. Zhang, On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models. J. Elasticity 67 (2002) 171–185. [CrossRef] [MathSciNet]
  4. F. Auricchio and E. Sacco, Partial-mixed formulation and refined models for the analysis of composite laminates within FSDT. Composite Structures 46 (1999) 103–113. [CrossRef]
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  6. P.G. Ciarlet, Mathematical Elasticity, volume II: Theory of Plates, North-Holland Publishing Co., Amsterdam. Stud. Math. Appl. 27 (1997).
  7. P.G. Ciarlet and Ph. Destuynder, A justification of the two dimensional linear plate model. J. Mécanique 18 (1979) 315–344.
  8. M. Dauge and I. Gruais, Asymptotics of arbitrary order for a thin elastic clamped plate, I. Optimal error estimates. Asymptotic Anal. 13 (1996) 167–197. [MathSciNet]
  9. P. Destuynder, Sur une justification des modèles de plaques et de coques par les méthodes asymptotiques. Ph.D. thesis, Université Pierre et Marie Curie - Paris, France (1980).
  10. K.H. Lo, R.M. Christensen and E.M. Wu, A high-order theory of plate deformation. J. Appl. Mech. 46 (1977) 663–676. [CrossRef]
  11. O.V. Motygin and S.A. Nazarov, Justification of the Kirchhoff hypotheses and error estimation for two-dimensional models of anisotropic and inhomogeneous plates, including laminated plates. IMA J. Appl. Math. 65 (2000) 1–28. [CrossRef] [MathSciNet]
  12. J.C. Paumier and A. Raoult, Asymptotic consistency of the polynomial approximation in the linearized plate theory application to the Reissner-Mindlin model. ESAIM: Proc. 2 (1997) 203-213. [CrossRef] [EDP Sciences]
  13. J. Sanchez Hubert and E. Sanchez Palencia, Introduction aux méthodes asymptotiques et à l'homogénéisation, Masson, Paris (1992).

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