The problem of buckling of arbitrary quadrilateral anisotropic plates
with different boundary conditions under combined in-plane loading is
considered. A Rayleigh-Ritz method combined with a variational formula
tion and a first-order transverse-shear-deformation theory is used. Th
e Ritz functions consist of polynomials which include ''circulation''
functions that impose various boundary conditions. Numerical results a
re obtained for isotropic, orthotropic, and anisotropic plates with sk
ewed geometries and are compared with existing results that use series
solutions and with results generated from finite element simulations.