We analyze the possible nucleation of cracked surfaces in materials in which changes in the material texture have a prominent influence on the macroscopic mechanical behavior. The geometry of crack patterns is described by means of stratified families of curvature varifolds with boundary. Possible non-local actions of the microstructures are accounted for. We prove existence of ground states of the energy in terms of deformation, descriptors of the microstructure and varifolds.
We analyze the possible nucleation of cracked surfaces in materials in which changes in the material texture have a prominent influence on the macroscopic mechanical behavior. The geometry of crack patterns is described by means of stratified families of curvature varifolds with boundary. Possible non-local actions of the microstructures are acco unted for. We prove existence of ground states of the energy in terms of deformation, descriptors of the microstructure and varifolds.
A Variational Problem in the Mechanics of Complex Materials
GIAQUINTA, Mariano;
2010
Abstract
We analyze the possible nucleation of cracked surfaces in materials in which changes in the material texture have a prominent influence on the macroscopic mechanical behavior. The geometry of crack patterns is described by means of stratified families of curvature varifolds with boundary. Possible non-local actions of the microstructures are acco unted for. We prove existence of ground states of the energy in terms of deformation, descriptors of the microstructure and varifolds.| File | Dimensione | Formato | |
|---|---|---|---|
|
uno.pdf
Accesso chiuso
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
270.69 kB
Formato
Adobe PDF
|
270.69 kB | Adobe PDF | Richiedi una copia |
|
pdfs.pdf
accesso aperto
Descrizione: journal article full text
Tipologia:
Altro materiale allegato
Licenza:
Solo Lettura
Dimensione
574.15 kB
Formato
Adobe PDF
|
574.15 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
