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.
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
EVA4ASMIsola.pdf
Solo gestori archivio
Tipologia:
versione pre-print
Dimensione
214.86 kB
Formato
Adobe PDF
|
214.86 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
Eremeyev-Reccia2022_Chapter_StrongEllipticityWithinTheStra.pdf
Solo gestori archivio
Descrizione: capitolo
Tipologia:
versione editoriale
Dimensione
326.91 kB
Formato
Adobe PDF
|
326.91 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
