We give a constructive proof of a particular Stokes theorem (1.4) for tensor fields in R3⊗R3.Its specialization to symmetric tensor fields, given in (1.5), bears a close relation to compatibility in linear elasticity theory and to the generalized Beltrami representation of symmetric tensor fields in continuum mechanics. These issues are discussed.

A Stokes theorem for second order tensor Fields and its implications in Continuum Mechanics / Fosdick, R; ROYER CARFAGNI, Gianni. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 40:(2005), pp. 381-386. [10.1016/j.ijnonlinmec.2004.07.006]

A Stokes theorem for second order tensor Fields and its implications in Continuum Mechanics

ROYER CARFAGNI, Gianni;
2005-01-01

Abstract

We give a constructive proof of a particular Stokes theorem (1.4) for tensor fields in R3⊗R3.Its specialization to symmetric tensor fields, given in (1.5), bears a close relation to compatibility in linear elasticity theory and to the generalized Beltrami representation of symmetric tensor fields in continuum mechanics. These issues are discussed.
2005
A Stokes theorem for second order tensor Fields and its implications in Continuum Mechanics / Fosdick, R; ROYER CARFAGNI, Gianni. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 40:(2005), pp. 381-386. [10.1016/j.ijnonlinmec.2004.07.006]
File in questo prodotto:
File Dimensione Formato  
astokestheorem.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 192.43 kB
Formato Adobe PDF
192.43 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/11381/2295219
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 22
social impact