Analysis of laminated composites composed of coupled layers by polar method

Abstract

Composite laminated plates are made of two or more unidirectional plies (or layers) stacked together at various orientations, the layers are composed of two phases: the fibers and the matrices. The material property and orientation of the fibers inside of the matrix determines the elastic characteristics of the layers. If the conventional layers used to fabricate laminate, there is no elastic coupling between bending and extension, other types of layers (the satins for example) have coupled behaviors. The classical lamination theory (CLT) formulates the elastic behavior of a laminate composed of classical layers, but it should be modified to be able to include these coupled layers that is the aim of the first part of this article. The second aspect of coupled layers must be considered: when they turned over, some of their elastic characteristics change, this phenomenon is studied in a second part and a method is proposed, including the reversal into the CLT equations, give more useful equations describing the laminates made of coupled layers. Finally, some cases of uncoupled and quasi-homogeneous stacking sequences are studied.

Keywords

coupled plies uncoupling quasi-homogeneity laminated plate composite

Get full access to this article

View all access options for this article.

References

Chou

. “Composite materials series. Volume 3: Textile structural composites”. Amsterdam: Elsevier Science Publishers B.V., 1989.

Gao

. A review on the impact tension behaviors of textile structural composites. J Indus Textiles 2015; 44(4): 572–604.

Adanur

. Textile structural composites. Technomic Publishing Compan, Inc Lancaster, Pennslvanis 17604 U.S.A: Wellington Sears handbook of industrial textiles, 1995, pp. 231–268.

Verchery

. “Les invariants des tenseurs d’ordre quatre du type de l’élasticité”. MARTINUS NIJHOFF Publishers, The Hague, The Netherlans and CNRS, Paris, France: Euromech Colloquium115, 1979, pp. 93–104.

Verchery

“Designing with anisotropy. Part 1. Methods and general results for laminates”. In: Twelfth International Conference on Composite Materials, ICCM-12 Paris, France, July 7-9 1999, 1999. Article 734.

Vannucci

. The polar formalism. In Anisotropic Elasticity. Singapore: Springer, 2018, pp. 131–244.

Kazemi

Verchery

. A methodology for optimal design of composite laminates using polar formalism. J Mech 2016; 32(3): 255–266.

Kazemi

Verchery

. Design of composite laminated plates for maximum buckling load with stiffness and elastic modulus constraints. Compos Struct 2016; 148: 27–38.

Vannucci

Verchery

. “A special class of uncoupled and quasi-homogeneous laminates”. Composites Sci Tech 2001; 61: 1465–1473.

10.

Vannucci

Verchery

. “Stiffness design of laminates using the polar method”. Int J Sol Structures 2001; 38: 9281–9294.

11.

Jones

. Mechanics of composite materials. Boca Raton: CRC Press, 2018.