Article,

Modeling and Analysis of Laminated Composite Beams using Higher Order Theory

, and .
AMAE International Journal of Manufacturing and Material Science, 3 (1): 6 (May 2013)

Abstract

The present study deals with the assessment of higher order theory of laminated beams under static mechanical loads. The theory has been presented for general lay-up of the laminate. The displacement field is expressed in terms of only three primary displacement variables by satisfying exactly the conditions of zero transverse shear stress at the top and bottom and its continuity at layer interfaces. The governing equations of motion and boundary conditions are derived using virtual work. The number of primary displacement unknowns is three, which is independent of the number of layers and equal in number to the ones used in the first order shear deformation theory. Higher order theory thus preserves the computational advantage of an equivalent single layer theory. The Third order theory and First order shear deformation theory are assessed by comparison with the exact two-dimensional elasticity solution of the simply-supported beam. A theory is good only if it yields accurate results for all kinds of loads and for any lay-up of the beam. For this purpose, parametric studies for composite laminates and sandwich beams are conducted.

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