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A note on the discrete approach for generalized continuum models

Kalampakas Antonios, Aifantis Elias C.

Journal of the Mechanical Behavior of Materials · 2014

doi:10.1515/jmbm-2014-0020 (opens in a new tab)

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Abstract

Generalized continuum theories for materials and processes have been introduced in order to account in a phenomenological manner for microstructural effects. Their drawback mainly rests in the determination of the extra phenomenological coefficients through experiments and simulations. It is shown here that a graphical representation of the local topology describing deformation models can be used to deduce restrictions on the phenomenological coefficients of the gradient elasticity continuum theories.

Abstract licence: CC BY

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