Strong Ellipticity Within the Strain Gradient Elasticity: Elastic Bar Case

Eremeyev V. A.
;Reccia E.
2022-01-01

Abstract

In this note we discuss the strong ellipticity condition within the nonlinear strain gradient elasticity. Considering a one-dimensional case, i.e. an elastic bar loaded by a tensile force, we analyze the correspondence of violation of the strong ellipticity condition and compare the results with classic nonlinear elasticity. The correspondence of ellipticity loss to the non-uniqueness of solutions are discussed in more detail.
2022
Inglese
Theoretical Analyses, Computations, and Experiments of Multiscale Materials
ADVANCED STRUCTURED MATERIALS
Ivan Giorgio, et al.
Ivan Giorgio, Luca Placidi, Emilio Barchiesi, Bilen Emek Abali, Holm Altenbach
175
137
144
8
Springer Science and Business Media Deutschland GmbH
Berlino
GERMANIA
978-3-031-04547-9
978-3-031-04548-6
2-s2.0-85129751831
Esperti anonimi
internazionale
scientifica
Strong ellipticity; Strain gradient elasticity; Nonlinear elasticity; Elastic bar; Non-uniqueness
sì
info:eu-repo/semantics/bookPart
2.1 Contributo in volume (Capitolo o Saggio)
Eremeyev, V. A.; Reccia, E.
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
1
268
reserved
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