Dynamics of Materials with a Deformability Threshold

Autori

  • Angiolo Farina
  • Antonio Fasano
  • Lorenzo Fusi
  • K. R. Rajagopal

DOI:

https://doi.org/10.1685/

Abstract

Some biological tissues exhibit a sharp reduction of deformability beyond some stress threshold, below which they may be considered elastic. This behaviour can be seen as a limit situation in which the material becomes undeformable beyond some deformation threshold. As a model problem we have considered the motion of a layer of such a material in which one boundary is kept fixed while to the other a tangential stress beyond threshold is applied. The corresponding mathematical model is formulated as a hyperbolic free boundary problem in which at each time instant the interface is made of the points reaching the threshold stretching. [DOI: 10.1685 / CSC06075] About DOI

Dowloads

Pubblicato

2007-10-01

Fascicolo

V. 1 (2006)

Sezione

Articles

Licenza

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).