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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https://hal.archives-ouvertes.fr/hal-01625160
Contributor : Alessandro Della Corte <>
Submitted on : Friday, October 27, 2017 - 11:30:07 AM
Last modification on : Tuesday, June 19, 2018 - 3:50:01 PM
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A Battista, Alessandro Della Corte, F Dell 'Isola, P. Seppecher. Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams. 2017. ⟨hal-01625160⟩

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