Abstract
A corotational total Lagrangian (CR-TL) formulation using the Von Kármán assumption is presented for the analysis of nonlinear shell problems. This formulation is applicable for the nonlinear analysis of shell structures with large rotations but moderate deformations. The numerical algorithm used here is an incremental iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector. In order to improve the convergence properties of the equilibrium iterations, special care is taken in the calculation of the geometric stiffness matrix. Numerical examples are presented and compared with the results reported in the literature to demonstrate the accuracy and efficiency of the proposed method.
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