An Efficient FE Model And LSE Method For
Accurate Calculation Of Transverse Stresses In
Laminated Sandwich Plates
Author(s)
R. P. Khandelwal, A. Chakrabarti & P. Bhargava
Abstract
Accurate evaluation of transverse stresses in laminated composites and sandwich
plates using 2D FE models involves cumbersome post processing techniques. In
this paper a simple and efficient method has been proposed for accurate
evaluation of through-the-thickness distribution of transverse stresses in
composites and sandwich laminates by using a displacement based C0 FE model
derived from refined higher order shear deformation theory (RHSDT) and a
Least Square Error (LSE) method. The C0 FE model satisfies the inter-laminar
shear stress continuity conditions at the layer interfaces and zero transverse shear
stress conditions at the top and bottom of the plate. In this model the first
derivatives of transverse displacement have been treated as independent
variables to circumvent the problem of C1 continuity associated with the above
plate theory (RHSDT). The LSE method is applied to the 3D equilibrium
equations of the plate problem at the post-processing stage, after in-plane
stresses are calculated by using the above FE model based on RHSDT. Thus the
proposed method is quite simple and elegant compared to the usual method of
integrating the 3D equilibrium equations at the post-processing stage for the
calculation of transverse stresses in a composite laminate. Accuracy of the
proposed method is demonstrated in the numerical examples through comparison
of the present results with those obtained from different models based on higher
order shear deformation theory (HSDT) and 3D elasticity solutions.
Keywords: composite sandwich laminates, C0RHSDT, transverse shear stresses,
LSE method.
Keywords
Keywords: composite sandwich laminates, C0RHSDT, transverse shear stresses,
LSE method.
Related Book
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