A hyperelastic constitutive law, for use in anatomically accurate finite element models of living structures, is suggested for the passive and the active mechanical properties of incompressible biological tissues. This law considers the passive and active states as a same hyperelastic continuum medium, and uses an activation function in order to describe the whole contraction phase. The variational and the FE formulations are also presented, and the FE code has been validated and applied to describe...
In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross surface flow in the Euler equations (incompressible for the fluid and compressible for the gas). The obtained system is conditionally hyperbolic. Then, we propose a mathematical kinetic interpretation of this system to finally construct a two-layer kinetic scheme...
A hyperelastic constitutive law, for use in anatomically accurate finite element models of
living structures, is suggested for the passive and the active mechanical properties of incompressible
biological tissues. This law considers the passive and active states as a same hyperelastic continuum
medium, and uses an activation function in order to describe the whole contraction phase.
The variational and the FE formulations are also presented, and the FE code has been validated
and applied to describe...
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