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arXiv · 2006.11368

A stress-driven local-nonlocal mixture model for Timoshenko nano-beams

Raffaele Barretta·Andrea Caporale·S. Ali Faghidian·Raimondo Luciano·Francesco Marotti de Sciarra·Carlo Maria Medaglia
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Abstract

A well-posed stress-driven mixture is proposed for Timoshenko nano-beams. The model is a convex combination of local and nonlocal phases and circumvents some problems of ill-posedness emerged in strain-driven Eringen-like formulations for structures of nanotechnological interest. The nonlocal part of the mixture is the integral convolution between stress field and a bi-exponential averaging kernel function characterized by a scale parameter. The stress-driven mixture is equivalent to a differential problem equipped with constitutive boundary conditions involving bending and shear fields. Closed-form solutions of Timoshenko nano-beams for selected boundary and loading conditions are established by an effective analytical strategy. The numerical results exhibit a stiffening behavior in terms of scale parameter.

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Raffaele Barretta, Andrea Caporale, S. Ali Faghidian, Raimondo Luciano, Francesco Marotti de Sciarra, Carlo Maria Medaglia. 2020-06-19. A stress-driven local-nonlocal mixture model for Timoshenko nano-beams. https://arxiv.org/abs/2006.11368

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