The paper presents finite element results for geometrically nonlinear bending of fiber-reinforced, single-layer and two-layer cross-ply rectangular plates constructed of materials which have linear elastic properties in tension and compression that are different. A shear deformation theory of layered composite plates, accounting for large rotations (in the von Karman sense) and the bimodular action, is employed to analyze rectangular plates made of two cord-rubber bimodular materials. Numerical results for transverse deflection are presented for simply supported plates under sinusoidally distributed and uniformly distributed transverse loads. 1983.