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p-Version curved shell element for geometrically nonlinear analysis of laminated composite plates and shells

Book ·
OSTI ID:485094
;  [1]
  1. Univ. of Kansas, Lawrence, KS (United States). Dept. of Mechanical Engineering

This paper presents a p-version geometrically nonlinear formulation for laminated composites based on the total Lagrangian approach for a nine node three dimensional curved shell element. The element displacement approximation can be of arbitrary and different polynomial orders in the plane of the element and in the transverse direction. The element approximation functions are derived from the Lagrange family of interpolation functions and ensure C{degree} continuity. The lamina properties are incorporated by numerically integrating the element stiffness matrix for each lamina. Complete three dimensional stresses and strains are considered. Incremental equations of equilibrium are derived and solved using the standard Newton-Raphson method. Numerical examples are presented to show the accuracy, efficiency and advantages of the present formulation.

OSTI ID:
485094
Report Number(s):
CONF-970146--; ISBN 1-890277-03-7
Country of Publication:
United States
Language:
English