We propose and analyze a multi-scale and multi-field description of complex materials in which we consider every material element as a system composed by $Qinmathbb{N}$ indistinct substructures. We pay attention to the equilibrium configurations of such bodies. We consider first rigid bodies with microstructure represented by means of $Q-$valued maps from the reference place to the manifold of microstructural shapes. In that case, just microenergetics appears. Then, we enlarge the stage considering large strains and energies of Ginzburg-Landau type with respect to the microstructural descriptor fields. In both cases we provide conditions for semicontinuity of the relevant energies and the existence of ground states.
Multi-value microstructural descriptors for complex materials: analysis of ground states / Matteo Focardi; Paolo Maria Mariano; Emanuele Nunzio Spadaro. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 217:(2015), pp. 899-933. [10.1007/s00205-015-0846-1]
Multi-value microstructural descriptors for complex materials: analysis of ground states
Matteo Focardi;Paolo Maria Mariano
;
2015
Abstract
We propose and analyze a multi-scale and multi-field description of complex materials in which we consider every material element as a system composed by $Qinmathbb{N}$ indistinct substructures. We pay attention to the equilibrium configurations of such bodies. We consider first rigid bodies with microstructure represented by means of $Q-$valued maps from the reference place to the manifold of microstructural shapes. In that case, just microenergetics appears. Then, we enlarge the stage considering large strains and energies of Ginzburg-Landau type with respect to the microstructural descriptor fields. In both cases we provide conditions for semicontinuity of the relevant energies and the existence of ground states.File | Dimensione | Formato | |
---|---|---|---|
J67.pdf
Accesso chiuso
Descrizione: Articolo completo pubblicato
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Creative commons
Dimensione
793.93 kB
Formato
Adobe PDF
|
793.93 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.