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Chapitre D'ouvrage Année : 2019

Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure

Résumé

We consider in this paper analytical solutions for some remarkable cases and for a linear anisotropic D4 second gradient elastic model. The purpose is that of constitutive parameter identification. In general, analytical solutions are considered less important than in the past due to fast numerical tools and to the fact that they are generally very difficult to achieve. However, they still play very important roles such as for numerical comparison and for dealing with pathological mechanical systems.
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Dates et versions

hal-02453437 , version 1 (23-01-2020)

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Luca Placidi, Giuseppe Rosi, Emilio Barchiesi. Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure. Abali, Bilen Emek and Altenbach, Holm and dell'Isola, Francesco and Eremeyev, Victor A. and Öchsner, Andreas. New Achievements in Continuum Mechanics and Thermodynamics, 108, Springer International Publishing, pp.383--401, 2019, 978-3-030-13306-1 978-3-030-13307-8. ⟨10.1007/978-3-030-13307-8_26⟩. ⟨hal-02453437⟩
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