A semi-analytical finite element for laminated composite plates

This paper presents a semi-analytical finite element solution for laminated composite plates. The method is based on a mixed variational principle that involves both displacements and stresses. Finite element meshes are only used in the plane of plate, while the through thickness distributions of di...

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Bibliographic Details
Published in:Composite structures 2002-07, Vol.57 (1), p.117-123
Main Authors: Sheng, H.Y., Ye, J.Q.
Format: Article
Language:English
Subjects:
Applied sciences
Composites
Computational techniques
Exact sciences and technology
Finite element
Finite-element and galerkin methods
Forms of application and semi-finished materials
Fundamental areas of phenomenology (including applications)
Laminated composite plate
Mathematical methods in physics
Physics
Polymer industry, paints, wood
Solid mechanics
State equation
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Technology of polymers
Three-dimensional elasticity
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Summary:This paper presents a semi-analytical finite element solution for laminated composite plates. The method is based on a mixed variational principle that involves both displacements and stresses. Finite element meshes are only used in the plane of plate, while the through thickness distributions of displacements and stresses are obtained using the method of state equations. Numerical results show that the rate of convergence of the new method is fast and the solutions can be very close to corresponding exact three-dimensional ones. The use of a recursive formulation of the state equations leads to an algebra equation system, from which solution are sought, whose dimension is independent of the numbers of layers of the plate considered.
ISSN:0263-8223
1879-1085
DOI:10.1016/S0263-8223(02)00075-2