We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.

Well-posedness of a one-dimensional nonlinear kinematic hardening model

U Stefanelli
2020

Abstract

We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.
2020
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Elastoplasticity; hardening; well-posedness; hysteresis operator; doubly nonlinear
File in questo prodotto:
File Dimensione Formato  
prod_427697-doc_152434.pdf

non disponibili

Descrizione: Well-posedness of a one-dimensional nonlinear kinematic hardening model
Tipologia: Versione Editoriale (PDF)
Dimensione 324.22 kB
Formato Adobe PDF
324.22 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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/409283
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact