A theory of finite strain magneto-poromechanics - ENSTA Paris - École nationale supérieure de techniques avancées Paris Access content directly
Journal Articles Journal of the Mechanics and Physics of Solids Year : 2015

A theory of finite strain magneto-poromechanics


The main purpose of this paper is the multi-physics modeling of magnetically sensitive porous materials. We develop for this a magneto-poromechanics formulation suitable for the description of such a coupling. More specifically, we show how the current state of the art in the mathematical modeling of magneto-mechanics can easily be integrated within the unified framework of continuum thermodynamics of open media, which is crucial in setting the convenient forms of the state laws to fully characterize the behavior of porous materials. Moreover, due to the soft nature of these materials in general, the formulation is directly developed within the finite strain range. In a next step, a modeling example is proposed and detailed for the particular case of magneto-active foams with reversible deformations. In particular, due to their potentially high change in porosity, a nonlinear porosity law recently proposed is used to correctly describe the fluid flow through the interconnected pores when the solid skeleton is finitely strained causing fluid release or reabsorption. From the numerical point of view, the variational formulation together with an algorithmic design is described for an easy implementation within the context of the finite element method. Finally, a set of numerical simulations is presented to illustrate the effectiveness of the proposed framework.
Fichier principal
Vignette du fichier
Nedjar-JMPS2699.pdf (437.84 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01188965 , version 1 (31-08-2015)



Boumediene Nedjar. A theory of finite strain magneto-poromechanics. Journal of the Mechanics and Physics of Solids, 2015, 84, pp.293-312. ⟨10.1016/j.jmps.2015.08.003⟩. ⟨hal-01188965⟩
220 View
267 Download



Gmail Facebook Twitter LinkedIn More