Nonlinear equilibrium and stability analysis of axially loaded piles under bilateral contact constraints.

Silveira, Ricardo Azoubel da MotaMaciel, Felipe VieiraSilva, Andréa Regina Dias daMachado, Fernando Carlos SchefferNogueira, Christianne de Lyra2017-08-312017-08-312015SILVEIRA, R. A. da M. et al. Nonlinear equilibrium and stability analysis of axially loaded piles under bilateral contact constraints. Latin American Journal of Solids and Structures, v. 12, p. 250-270, 2015. Disponível em: <http://www.lajss.org/index.php/LAJSS/article/view/1173>. Acesso em: 20 jul. 2017.1679-7825http://www.repositorio.ufop.br/handle/123456789/8621This paper presents a nonlinear stability analysis of piles under bilateral contact constraints imposed by a geological medium (soil or rock). To solve this contact problem, the paper proposes a general numerical methodology, based on the finite element meth-od (FEM). In this context, a geometrically nonlinear beam-column element is used to model the pile while the geological medium can be idealized as discrete (spring) or continuum (Winkler and Pas-ternak) foundation elements. Foundation elements are supposed to react under tension and compression, so during the deformation process the structural elements are subjected to bilateral contact constraints. The errors along the equilibrium paths are minimized and the convoluted nonlinear equilibrium paths are made tracea-ble through the use of an updated Lagrangian formulation and a Newton-Raphson scheme working with the generalized displace-ment technique. The study offers stability analyses of three prob-lems involving piles under bilateral contact constraints. The anal-yses show that in the evaluation of critical loads a great influence is wielded by the instability modes. Also, the structural system stiffness can be highly influenced by the representative model of the soil.en-USabertoPilesElastic foundationNonlinear analysisStabilityNonlinear equilibrium and stability analysis of axially loaded piles under bilateral contact constraints.Artigo publicado em periodicoOs trabalhos publicados no periódico Latin American Journal of Solids and Structures estão sob Licença Creative Commons que permite copiar, distribuir e transmitir o trabalho desde que sejam citados o autor e o licenciante. Fonte: Latin American Journal of Solids and Structures <http://www.lajss.org/index.php/LAJSS/about/submissions#copyrightNotice>. Acesso em: 23 jan. 2020.http://dx.doi.org/10.1590/1679-78251173