A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two‐dimensional problems: Shell and plate structures
- 1 December 1984
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 20 (12) , 2253-2281
- https://doi.org/10.1002/nme.1620201208
Abstract
A total Lagrangian finite element formulation for the geometrically nonlinear analysis (large displacement/large rotations) of shells is presented. Explicit expressions of all relevant finite element matrices are obtained by means of the definition of a local co‐ordinate system, based on the shell principal curvature directions, for the evaluation of strains and stresses. A series of examples of nonlinear analysis of shell and plate structures is given.Keywords
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