Abstract
This paper shows the existence of a particular type of planar orthotropic material, here denoted for the sake of brevity as R 0-orthotropic. The number of independent elastic constants for these materials is three, and not four as for a general orthotropic layer, but these constants have only two orthogonal axes of symmetry. The way to obtain a R 0-orthotropic layer is discussed in the paper, along with the advantages in its use.
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References
R.M. Jones, Mechanics of Composite Materials. Taylor & Francis, Philadelphia (1975).
G. Verchery, Les invariants des tenseurs d'ordre quatre du type de l'élasticité. In: Proceedings of the Euromech Colloquium 115 (Villard-de-Lans, France, 1979), Editions du CNRS, Paris (1982) pp. 93–104 (in French).
N. Kandil and G. Verchery, New methods of design for stacking sequences of laminates. In: Proceedings of Computer Aided Design in Composite Materials 88. Southampton, UK (1988) pp. 243–257.
G. Verchery, Designing with anisotropy. Part 1: Methods and general results for laminates. Proceedings of ICCM 12 (Twelfth International Conference on Composite Materials), paper 734. Paris, France (1999).
P. Vannucci and G. Verchery, Designing with anisotropy. Part 2: Laminates without membrane-flexure coupling. Proceedings of ICCM 12 (Twelfth International Conference on Composite Materials), paper 572. Paris, France (1999).
P. Vannucci, X.J. Gong and G. Verchery, Designing with anisotropy. Part 3: Quasihomogeneous anisotropic laminates. Proceedings of ICCM 12 (Twelfth International Conference on Composite Materials), paper 573. Paris, France (1999).
G. Verchery and X.J. Gong, Pure tension with off-axis tests for orthotropic laminates. Proceedings of ICCM 12 (Twelfth International Conference on Composite Materials), paper 752. Paris, France (1999).
P. Vannucci and G. Verchery, A special class of uncoupled and quasi-homogeneous laminates. Composite Science and Technology 61 (2001) 1465–1473.
P. Vannucci and G. Verchery, Stiffness design of laminates using the polar method. Internat. J. Sol. Struct. 38 (2001) 9281–9294.
P. Vannucci, Thèse pour l'Habilitation à Diriger des Recherches (HDR dissertation). ISAT, University of Burgundy, France (2002) (in French).
P. Pedersen, Combining material and element rotation in one formula. Comm. Appl. Numer. Methods 6 (1990) 549–555.
A. Vincenti, G. Verchery and P. Vannucci, Anisotropy and symmetry for elastic properties of laminates reinforced by balanced fabrics. Composites Part A 32 (2001) 1525–1532.
M. Grédiac, A procedure for designing laminated plates with required stiffness properties. Application to thin quasi-isotropic quasi-homogeneous uncoupled laminates. J. Compos. Mat. 33 (1999) 1939–1956.
P. Vannucci, On bending-tension coupling of laminates. J. Elasticity 64 (2001) 13–28.
F. Belaïd, P. Vannucci and G. Verchery, Numerical investigation on the influence of orientation defects on bending-tension coupling of laminates. Proceedings of ICCM 13 (Thirteenth International Conference on Composite Materials), paper 1406. Beijing, China (2001).
A. Vincenti, P. Vannucci, G. Verchery and F. Belaïd, Effetti degli errori di orientazione sulla quasi-omogeneità dei laminati in composito. Proceedings of AIMETA XV (15th AIMETA Congress of Theoretical and Applied Mechanics), paper sp_so_29. Taormina, Italy (2001) (in Italian).
S.W. Tsai and N.J. Pagano, Invariant properties of composite materials. In: S.W. Tsai, J.C. Halpin and N.J. Pagano (eds), Composite Materials Workshop. Technomic Publishing Co., USA (1968) pp. 233–253.
S.W. Tsai and H.T. Hahn, Introduction to Composite Materials. Technomic Publishing Co., USA (1980).
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Vannucci, P. A Special Planar Orthotropic Material. Journal of Elasticity 67, 81–96 (2002). https://doi.org/10.1023/A:1023949729395
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DOI: https://doi.org/10.1023/A:1023949729395