The mechanics of permeation of soft porous media
Speaker: Antonio DiCarlo, Dipartimento di Matematica & Fisica, Università Roma Tre, Italy
Department: Mechanical & Aerospace Engineering
Location: Engineering Quadrangle J223
Date/Time: Tuesday, August 6, 2013, 4:30 p.m. - 5:30 p.m.
With a view towards applications to soft tissues and other materials undergoing large deformations, growth and remodeling, I put forth a mechanical theory of porous media which builds on and greatly extends Biot's poroelasticity. In this formalism, the motion of a porous body is parameterized by the time evolution of several fields: (i) the placement of the solid skeleton; (ii) its porosity, i.e., the pore volume per unit total volume; (iii) the placement of the interstitial fluid; (iv) its mass density; and (v) the saturation ratio, i.e., the ratio of fluid volume to pore volume. In other words, the porous medium is modeled as a continuum with a rather rich microstructure. Dynamical balance laws are obtained by declaring in which way working is expended on admissible test velocities and applying the principle of null working. In the characterization of admissible test velocities a key role is played by mass balance.