A consistent model for firstorder moderate rotation plate theory
Abstract
The firstorder shear deformation plate theory can be used in the small strain and moderate rotation nonlinear elasticity by defining correctly the displacement vector form. In this paper, the problem of the consistency between the displacement vector form and the finite strain tensor approximation is analyzed. Then, a new moderate rotation theory is proposed. The variational form of the governing equations is derived for the beam and the plate problems in a consistent way. Then, an iterative numerical procedure based on the finite element method and the secant stiffness matrix is developed in order to solve the nonlinear differential equation problem. Computations are made for one and twodimensional structures, in order to assess the performance of the von Karman, finite elasticity, classical and the proposed moderate rotation theories.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 December 1992
 DOI:
 10.1002/nme.1620351008
 Bibcode:
 1992IJNME..35.2049S
 Keywords:

 Elastic Properties;
 Plate Theory;
 Rotation;
 Shear Strain;
 Finite Element Method;
 Kinematics;
 Nonlinear Equations;
 Stiffness Matrix;
 Timoshenko Beams;
 Structural Mechanics