GEOMETRIC NONLINEAR ANALYSIS OF MECHANICAL PROBLEM UNDER PLANE CONDITIONS BY FEM

Marko Rupert¹; Christianne L. Nogueira¹; Ricardo A. M. Silveira¹

¹ Universidade Federal de Ouro Preto

doi:10.20906/CPS/CILAMCE2017-0167

Resumo

This paper presents a generalized, displacement based, formulation of the finite element method for geometric nonlinear analysis of mechanical problem under plane strain and plane stress conditions by using the Total Lagrangian approach and physical linearity of the material. Classical examples under plane stress condition, as cantilever beam and L-beam, are presented and good agreements are observed between the analytical and numerical results. Geotechnical problem under plane strain condition, as the embankment problem subject to self-weight force, is analyzed and comparison between the geometric linear and nonlinear formulations highlights the importance of the nonlinear formulation for high height fills.

Palavras-chave: geometrical nonlinear analysis; finite elements methods; Total Lagrangian approach; linear elastic material