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Mixed formulation of nonlinear beam on foundation elements
Authors:Ashraf Ayoub
Affiliation:Department of Civil and Environmental Engineering, University of South Florida, Tampa, FL 33620, USA
Abstract:This paper presents an inelastic element for the analysis of beams on foundations. The element is derived from a two-field mixed formulation with independent approximation of forces and displacements. The state determination algorithm for the implementation of the element in a general purpose nonlinear finite element analysis program is presented and its stability characteristics are discussed. Numerical studies are performed to compare the model with the classical displacement formulation. The studies confirm the superiority of the proposed model in describing the inelastic behavior of beams on foundations.
Keywords:Beam on foundation  Beam on Winkler support  Beam on lateral support  Mixed formulation  Mixed variational principle  Mixed finite element
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