We investigate the two basic internal BVPs related to the linear theory of viscoelasticity for Kelvin–Voigt materials with voids by means of the potential theory. By using an indirect boundary integral method, we represent the solution of the first (second) BVP of steady vibrations in terms of a simple (double) layer elastopotential. The representations achieved are different from the previously known ones. Our approach hinges on the theory of reducible operators and on the theory of differential forms.

New integral representations in the linear theory of viscoelastic materials with voids

CIALDEA, Alberto;DOLCE, EMANUELA;LEONESSA, VITA;MALASPINA, Angelica
2014-01-01

Abstract

We investigate the two basic internal BVPs related to the linear theory of viscoelasticity for Kelvin–Voigt materials with voids by means of the potential theory. By using an indirect boundary integral method, we represent the solution of the first (second) BVP of steady vibrations in terms of a simple (double) layer elastopotential. The representations achieved are different from the previously known ones. Our approach hinges on the theory of reducible operators and on the theory of differential forms.
2014
File in questo prodotto:
File Dimensione Formato  
PdIM.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 214.17 kB
Formato Adobe PDF
214.17 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/11563/97896
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 1
social impact