Dynamics of Materials with a Deformability Threshold
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
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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PDFDOI: https://doi.org/10.1685/
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