Authors: H A F A Santos
Publish Date: 2014/09/24
Volume: 226, Issue: 4, Pages: 1133-1151
Abstract
This paper addresses the development of a novel updated Lagrangian variational formulation and its associated finite element model for the geometrically nonlinear quasistatic analysis of cantilever beams The formulation is based on an incremental complementary energy principle The proposed finite element model only contains nodal bending moments as degrees of freedom The model is used for the analysis of problems modeled by the socalled elastica theory Numerical solutions satisfying all equilibrium equations in a strong sense can be obtained for arbitrarily large displacements and rotations A Newton–Raphson method is adopted to trace the postbuckling response Numerical results are presented and compared with those produced by the standard total Lagrangian twonode displacementbased finite element model
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