On bulk growth mechanics of solid-fluid mixtures

This work aims at investigating the possibility to account for the volumetric growth of a binary solid-uid mixture, within the context of biomechanical perspectives in rational mixture theories. Growth phenomena are coarsely taken into account by describing the time evolution of the solid stress-free configuration, whose introduction contributes a part of the constitutive information to the resulting dynamics, while enriching the kinematical description of the mixture. The issue of invariance requirements under changes in observer is also addressed, and some relevant constitutive implications are briey outlined.

Wave motions in unbounded poroelastic solids infused with compressible fluids

Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The propagation of steady-state harmonic plane waves in unbounded media is investigated in both cases of unconstrained solid-fluid mixtures and fluid-saturated poroelastic solids. Relevant effects on the resulting characteristic speed of longitudinal and transverse elastic waves, due to the constitutive parameters introduced, are finally highlighted and discussed.Comment: 29 page

Rotary remodelling of elastic anisotropy

International audienc

Modeling bone remodeling

International audienc

An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures

Looking at rational mixture theories within the context of a new perspective, this work aims to put forward a proposal for an Eshelbian approach to the nonlinear mechanics of a constrained solid-fluid mixture, made up of an inhomogeneous poroelastic solid and an inviscid compressible fluid, which do not undergo any chemical reaction

2009 Lateral shaping and stability of a stretching viscous sheet

Abstract. We investigate the changes of shape of a stretching viscous sheet by controlling the forcing at the lateral edges, which we refer to as lateral shaping. We propose a one-dimensional model to study the dynamics of the viscous sheet and systematically address stability with respect to draw resonance. Two class of lateral forcing are considered: (i) for the case that the stress at the edges is specified, we show that a pure outward normal stress Sn is usually unfavorable to the draw resonance instability as compared to the case of stress-free lateral boundaries. Alternatively, a pure streamwise tangential stress St is stabilizing; (ii) for the case that the lateral velocity at the edges is specified, we show that the stability properties are problem specific but can be rationalized based on the induced stress components (Sn, St). PAC

Modeling bone remodeling

International audienc