Extensible Beam Models in Large Deformation Under Distributed Loading: a Numerical Study on Multiplicity of Solutions

Francesco Dell'Isola (1, 2, 3) , Alessandro Della Corte (1, 2) , Antonio Battista (1, 4) , Emilio Barchiesi (1, 2)

1 MEMOCS - International Research Center for the Mathematics & Mechanics of Complex Systems
2 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]
3 Research Institute for Mechanics, Nizhny Novgorod Lobachevsky State University Nizhny Novgorod,Russia
4 LaSIE - Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356

In this paper we present numerical solutions to a geometrically nonlinear version of the extensible Timoshenko beam model under distributed load. The particular cases in which: i) extensional stiffness is infinite (inextensible Timoshenko model), ii) shear stiffness is infinite (extensible Euler model) and iii) extensional and shear stiffnesses are infinite (inextensible Euler model) will be numerically explored. Parametric studies on the axial stiffness in both the Euler and Timoshenko cases will also be shown and discussed.

Domaines: Mécanique [physics]

Francesco Dell'Isola, Alessandro Della Corte, Antonio Battista, Emilio Barchiesi. Extensible Beam Models in Large Deformation Under Distributed Loading: a Numerical Study on Multiplicity of Solutions. Holm Altenbach Wolfgang H. Müller Bilen Emek Abali. Higher Gradient Materials and Related Generalized Continua, 120, Springer, pp.19-41, 2019, Advanced Structured Materials, ⟨10.1007/978-3-030-30406-5⟩. ⟨hal-02475674⟩