A new geometrical nonlinear laminated theory for large deformation analysis

Abstract

A six-variable geometrical nonlinear shear deformation laminated theory is presented in which normal stress and strain distribution can be calculated. By considering some affective factors that were neglected under the finite deformation condition, an improved Von Karman geometrical nonlinear deformation-strain relation is used for large deformation analysis. By analyzing the bending problem of laminated plates, and by comparing it with 3-D elasticity solutions and J.N. Reddy five-variable simple higher-order shear deformation laminated theory, we can come to a conclusion that a satisfying precision of the calculation studied in this paper has been achieved, which shows that it is especially suitable for application of the calculation in the condition of a large deformation and the laminated thick plate analysis.