We address a finite-plasticity model based on the symmetric tensor P^T P instead of the classical plastic strain P. Such a structure arises by assuming that the material behavior is invariant with respect to frametransformationsoftheintermediateconfiguration.The resulting variational model is lower dimensional, symmetric and based solely on the reference configuration. We discuss the existence of energetic solutions at the material-point level as well as the convergence of time discretizations. The linearization of the model for small deformations is ascertained via a rigorous evolution-Gamma-convergence argument. The constitutive model is combined with the equilibrium system in Part II where we prove the existence of quasistatic evolutions and ascertain the linearization limit (Grandi and Stefanelli in 2016).

Finite plasticity in P^T P. Part I: constitutive model

GRANDI, Diego
;
2017

Abstract

We address a finite-plasticity model based on the symmetric tensor P^T P instead of the classical plastic strain P. Such a structure arises by assuming that the material behavior is invariant with respect to frametransformationsoftheintermediateconfiguration.The resulting variational model is lower dimensional, symmetric and based solely on the reference configuration. We discuss the existence of energetic solutions at the material-point level as well as the convergence of time discretizations. The linearization of the model for small deformations is ascertained via a rigorous evolution-Gamma-convergence argument. The constitutive model is combined with the equilibrium system in Part II where we prove the existence of quasistatic evolutions and ascertain the linearization limit (Grandi and Stefanelli in 2016).
Grandi, Diego; Stefanelli, Ulisse
File in questo prodotto:
File Dimensione Formato  
Grandi-Stefanelli2017_Article_FinitePlasticityInVarvecPTopVa.pdf

solo gestori archivio

Descrizione: Full text editoriale
Tipologia: Full text (versione editoriale)
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 574.68 kB
Formato Adobe PDF
574.68 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
cplas_part1_160715.pdf

accesso aperto

Descrizione: Pre print
Tipologia: Pre-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 387.37 kB
Formato Adobe PDF
387.37 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2359589
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 11
social impact