6533b7d2fe1ef96bd125df42
RESEARCH PRODUCT
Anisotropy and symmetry for elastic properties of laminates reinforced by balanced fabrics
G. VercheryAngela VincentiPaolo Vannuccisubject
Mathematics::Dynamical SystemsMaterials sciencePlane (geometry)Cauchy stress tensorMarsaglia polar methodLimitingMathematics::Geometric TopologySymmetry (physics)Mechanics of MaterialsCeramics and CompositesPolar coordinate systemComposite materialAnisotropyRepresentation (mathematics)description
In this article, we present a theoretical study on elastic properties of laminates composed by balanced fabric layers. Using the polar representation method for plane elastic tensors, we first describe some properties of symmetry of a general laminate composed by balanced fabrics and we write the formulas expressing positions of its axes of symmetry. Then, limiting our study to laminates composed of identical plies, we solve two problems of symmetry of the laminate elastic tensors: uncoupling and quasi-homogeneity. We found all the solutions of the uncoupling problem for the case of 3-, 4- and 5-ply laminate and all those of the quasi-homogeneity problem for the case of 4-, 5- and 6-ply laminate: it is worth noting that this class of solutions was not known before.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-10-01 | Composites Part A: Applied Science and Manufacturing |