Abstract

In this report, we introduce a meshfree approach for static analysis of isotropic/orthotropic crossply
laminated plates with symmetric/non-symmetric layers. Classical, first and third order shear
deformation plate theories are employed to perform the analyses. In this method, the solution is
first split into homogenous and particular parts and then the homogenous part is approximated by
the summation of an appropriately selected set of exponential basis functions (EBFs) with
unknown coefficients. In the homogenous solution the EBFs are restricted to satisfy the
governing differential equation. The particular solution is derived using a similar approach and
another series of EBFs. The imposition of the boundary conditions and determination of the
unknown coefficients are performed by a collocation method through a discrete transformation
technique. The solution method allows us to obtain semi-analytical solution of plate problems
with various shapes and boundary conditions. The solutions of several benchmark plate
problems with various geometries are presented to validate the results.