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

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Higher Gradient Materials and Related Generalized Continua

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 120))

Abstract

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.

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Authors and Affiliations

  1. International Research Center for the Mathematics and Mechanics of Complex Systems-M&MoCS, Università dell’Aquila, L’Aquila, Italy

    Francesco dell’Isola, Alessandro Della Corte, Antonio Battista & Emilio Barchiesi

  2. Department of Structural and Geotechnical Engineering, Università di Roma La Sapienza, 18 Via Eudossiana, Rome, Italy

    Francesco dell’Isola, Alessandro Della Corte & Emilio Barchiesi

  3. Research Institute for Mechanics, Nizhny Novgorod Lobachevsky State University, 23, Gagarin av., 603950, Nizhny Novgorod,, Russia

    Francesco dell’Isola

  4. LaSIE, Université de La Rochelle, La Rochelle, France

    Antonio Battista

Authors
  1. Francesco dell’Isola
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  2. Alessandro Della Corte
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  3. Antonio Battista
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  4. Emilio Barchiesi
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Corresponding author

Correspondence to Emilio Barchiesi .

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Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Technische Universität Berlin, Institut für Mechanik, Berlin, Germany

    Wolfgang H. Müller

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Bilen Emek Abali

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dell’Isola, F., Della Corte, A., Battista, A., Barchiesi, E. (2019). Extensible Beam Models in Large Deformation Under Distributed Loading: A Numerical Study on Multiplicity of Solutions. In: Altenbach, H., Müller, W., Abali, B. (eds) Higher Gradient Materials and Related Generalized Continua. Advanced Structured Materials, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-030-30406-5_2

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