Dynamics of Materials with a Deformability Threshold

Auteurs-es

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

DOI :

https://doi.org/10.1685/

Résumé

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

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Publié

2007-10-01

Numéro

Vol. 1 (2006)

Rubrique

Articles

Licence

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