Large-deflection bending of symmetrically laminated rectilinearly orthotropic elliptical plates including transverse shear. (English) Zbl 0893.73026

Liu, R.-H.; Xu, J.-C.; Zhai, S.-Z.

Arch. Appl. Mech. 67, No. 7, 507-520 (1997).

Summary: The nonlinear bending theory for symmetrically laminated elliptical plates exhibiting rectilinear orthotropy with transverse shear deformation is developed. Using Galerkin’s method, the paper solves the problem of large deflections for plates under uniform lateral pressure. The special case of symmetrically laminated rectilinearly orthotropic circular plates is also discussed. Analytical solutions obtained may be applied directly to the design of engineering structures.

MSC:

74K20	Plates
74E30	Composite and mixture properties

Keywords:

analytical solutions; Galerkin’s method; uniform lateral pressure