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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