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Identification of higher-order continua equivalent to a Cauchy elastic composite

Bacigalupo, Andrea and Paggi, Marco and Dal Corso, F. and Bigoni, D. Identification of higher-order continua equivalent to a Cauchy elastic composite. Mechanics Research Communications. ISSN 0093-6413 (In Press) (2017)

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A heterogeneous Cauchy elastic material may display micromechanical effects that can be modeled in a homogeneous equivalent material through the introduction of higher-order elastic continua. Asymptotic homogenization techniques provide an elegant and rigorous route to the evaluation of equivalent higher-order materials, but are often of difficult and awkward practical implementation. On the other hand, identification techniques, though relying on simplifying assumptions, are of straightforward use. A novel strategy for the identification of equivalent second-gradient Mindlin solids is proposed in an attempt to combine the accuracy of asymptotic techniques with the simplicity of identification approaches. Following the asymptotic homogenization scheme, the overall behaviour is defined via perturbation functions, which (differently from the asymptotic scheme) are evaluated on a finite domain obtained as the periodic repetition of cells and subject to quadratic displacement boundary conditions. As a consequence, the periodicity of the perturbation function is satisfied only in an approximate sense, nevertheless results from the proposed identification algorithm are shown to be reasonably accurate.

Item Type: Article
Identification Number: 10.1016/j.mechrescom.2017.07.002
Uncontrolled Keywords: Homogenization; Higher-order continuum;Size-effect; Non-local elasticity; Periodic materials
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 04 Aug 2017 09:55
Last Modified: 04 Aug 2017 09:55
URI: http://eprints.imtlucca.it/id/eprint/3740

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