Deflection of Laminated Composite Plates Using Dynamic Relaxation Method

First – order orthotropic shear deformation equations for the
nonlinearly elastic bending response of rectangular plates are
introduced Their solution using a computer program based on
finite differences implementation of the Dynamic Relaxation DR
method is outlined The convergence and accuracy of the DR
solutions for elastic large deflection response of isotropic
orthotropic and laminated plates are established by comparison
with various exact and approximate solutions The present
Dynamic Relaxation method DR coupled with finite differences
method shows a fairly good agreement with other analytical and
numerical methods used in the verification scheme It was found
that The convergence and accuracy of the DR solution are
dependent on several factors including boundary conditions
mesh size and type fictitious densities damping coefficients time
increment and applied load Also the DR large deflection program
using uniform finite differences meshes can be employed in the
analysis of different thicknesses for isotropic orthotropic or
laminated plates under uniform loads All the comparison results
for simply supported SS4 edge conditions showed that
deflection is almost dependent on the direction of the applied load
or the arrangement of the layers