Microporomechanics. (English) Zbl 1112.76002

Dormieux, Luc; Kondo, Djimédo; Ulm, Franz-Josef

Chichester: John Wiley & Sons (ISBN 0-470-03188-3/hbk; 0-470-03200-6/ebook). xvi, 328 p. (2006).

The book deals with mechanics and physics of multiphase porous materials at the microscale. It develops a mathematical framework to translate microscopic properties and microbehaviors of fluid and solid phases, through homogenization theories, into macroscopic constitutive relations of mass transport phenomena and poromechanical deformation of porous media, including poroelasticity, poroplasticity and porofracture and damage theory. The authors examine the homogenization of transport properties of porous media by asymptotic expansion techniques. The tools of continuum micromechanics are introduced for porous medium emptied of its fluid phases, corresponding to the drained situation. Finally, the analysis is extended to microporoinelasticity, that is to the nonlinear homogenization of a large range of frequently encountered porous material behaviors, as strength homogenization, non-satured microporomechanics, microporoplasticity and microporofracture and damage theory.

Reviewer: Marco Codegone (Torino)

MSC:

76-02	Research exposition (monographs, survey articles) pertaining to fluid mechanics
76S05	Flows in porous media; filtration; seepage
76M50	Homogenization applied to problems in fluid mechanics
74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74Q15	Effective constitutive equations in solid mechanics

Keywords:

composite materials; homogenization; continuum micromechanics