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Journal Articles Zeitschrift für Angewandte Mathematik und Physik Year : 2018

Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

Abstract

In the present paper we study a natural nonlinear generalization of Timoshenko beam model and show that it can describe the homogenized deformation energy of a 1D continuum with a simple microstructure. We prove the well-posedness of the corresponding variational problem in case of a generic end load, discuss some regularity issues and evaluate the critical load. Moreover , we generalize the model so as to include an additional rotational spring in the microstructure. Finally, some numerical simulations are presented and discussed.
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Dates and versions

hal-01625160 , version 1 (27-10-2017)

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A Battista, Alessandro Della Corte, F Dell 'Isola, Pierre Seppecher. Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams. Zeitschrift für Angewandte Mathematik und Physik, 2018, ⟨10.1007/s00033-018-0946-5⟩. ⟨hal-01625160⟩
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