coussy o. poromechanics (wiley, 2004)

[...]... of poromechanics, whatever the particular discipline or application in mind These developments include microporomechanics, deal with surfaces of discontinuity and wave propagation, provide some solutions to non-linear problems of poroelasticity, analyse the drying of weakly permeable materials, consider the localization of deformation, explore the frontiers between poromechanics and chemomechanics, poromechanics. .. decay M.A Biot1 We define Poromechanics as the study of porous materials whose mechanical behaviour is significantly influenced by the pore fluid By this definition, poromechanics involves a broad range of materials, from the rocks and soils that were the subject of the theory of poroelasticity developed by Maurice Biot more than half a century ago, to gels and biological tissues Poromechanics is then relevant... contributions: namely, Patrick Dangla, with whom I have explored the unsaturated side of poromechanics; Luc Dormieux, whose achievements in microporomechanics are now well known; Robert Eymard, who introduced me to the numerical world of transport in porous media; Franz-Joseph Ulm, whose enthusiasm led us to explore the frontiers between poromechanics and chemomechanics I also deeply acknowledge the contributions... of the Laboratoire Central des Ponts et Chauss´ es Finally, I dedicate this book to my wife, Sandra, and to e my daughter, Flavia, who now may think that they will see more of me on Sundays Poromechanics Olivier Coussy Laboratoire Central des Ponts et Chauss´ es e Institut Navier, Marne-la-Vall´ e, France e Chapter 1 Deformation and Kinematics Mass Balance The aim of this chapter is to describe the... porosity is the ratio of the volume of the connected porous space to the total volume In what follows the term ‘porosity’, used without further specification, refers to the entire connected porosity Poromechanics O Coussy c 2004 John Wiley & Sons, Ltd ISBN 0-470-84920-7 2 DEFORMATION AND KINEMATICS MASS BALANCE Occluded porosity Connected porosity Solid Fluid + Skeleton particle = Fluid particle Infinitesimal... t, here including (2.2) The body force density f is assumed to depend only on position vector x and time t Accordingly the external body forces applying on the infinitesimal material volume d t Poromechanics O Coussy c 2004 John Wiley & Sons, Ltd ISBN 0-470-84920-7 ... developments, and adding new accommodation (new sections), to welcome new friends—hopefully new readers Finally, the renovated old house had turned into a new book, so I decided to change the front door—the title Poromechanics is the word we coined, Younane Abousleiman, Alex Cheng, Emmanuel Detournay, Jean-Francois Thimus and I, when we launched the first Biot Conference on ¸ the Mechanics of Porous Media in 1998... reference configuration related to the solid skeleton Based upon the pioneering work of M.A Biot, these two concepts allow us to extend all significant achievements of the continuum mechanics of solids to poromechanics Within the energy context of thermodynamics of open continua these two concepts also open up the way to explore new frontiers related to various thermo/hydro/chemo/mechanical couplings The... presupposes some basic mathematical knowledge of tensorial analysis and differential geometry Starting from the basics it progressively extends the fundamental concepts of continuum mechanics to continuum poromechanics, by focusing attention on the coupling of the deformation of porous continua with various other physical processes The book can possibly be divided in to 1 Biot M.A (1962), ‘Science and the... and 9 extend the picture to inelastic behaviour, dealing first with poroplasticity and ending with hereditary behaviour The book can serve as a support for both graduate and advanced courses on continuum poromechanics, revisiting and completing an initial treatment of continuum mechanics Indeed, there are essentially two volumes in one Volume 1 is formed by the succession of all chapters in the first part . concepts of continuum mechanics to contin- uum poromechanics, by focusing attention on the coupling of the deformation of porous continua with various other physical processes. The book can possibly. of solids to poromechanics. Within the energy context of thermodynamics of open continua these two concepts also open up the way to explore new frontiers related to various thermo/hydro/chemo/mechanical. description of deformation and stress, going on to the thermodynamics of porous continua consid- ered as open systems, and ending in poroelasticity, including the solution of evolution problems.