Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral representation for a relaxed energy functional in the setting of second-order structured deformations. Our derivation covers inhomogeneous initial energy densities (i.e., with explicit dependence on the position); finally, we provide explicit formulas for bulk relaxed energies as well as anticipated applications.
Second-Order Structured Deformations: Relaxation, Integral Representation and Applications / Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David R.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 225:3(2017), pp. 1025-1072.
Titolo: | Second-Order Structured Deformations: Relaxation, Integral Representation and Applications |
Autori: | |
Data di pubblicazione: | 2017 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00205-017-1120-5 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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BMMO-2oStD-revised.pdf | Articolo principale | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
[015]-2017-Bar-Mat-Mor-Owe[ARMA].pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
http://hdl.handle.net/11583/2722667