By Gérard A. Maugin, Raymonde Drouot, François Sidoroff

Contributed via world-renowned experts at the celebration of Paul Germain's eightieth birthday, this targeted publication displays the foundational works and the highbrow impact of this writer. It provides the area of recent thermomechanics with its striking wealth of purposes to the behaviour of fabrics, even if strong or fluid. The thirty-one contributions stick with an easygoing autobiographical comic strip by way of Paul Germain, and spotlight the ability and richness of a methodological method of the phenomenology of many fabrics. This strategy combines harmoniously thermodynamics and continuum concept so as to supply exploitable, thermodynamically admissible versions of a giant number of behaviours and phenomena, together with these of diffusion, thermoelasticity, viscoplasticity, rest, hysteresis, wetting, shape-memory results, development, section transitions, balance, fracture, shocks, machining of fabrics, microstructured solids, advanced fluids, and so on.
specially aimed toward graduate scholars, researchers, and engineers in mechanical engineering and fabrics technological know-how, this booklet additionally provides the cutting-edge in an lively box of analysis and opens new horizons in different clinical fields, comparable to utilized arithmetic and utilized physics, end result of the highbrow pride and notable potency supplied by means of the encouraged process.

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The flawless case is the homogenisation of periodic structures, introduced by Sanchez-Palancia. The most evident is the study of a polycrystal as a collection of monocrystals. More generally, by a self-consistent scheme of localisation-homogenisation, one may relate the variables which appear in the constitutive equations at each point of the macrostructure, to average values (or global values) of the physical properties of the local microstructure – a representative volume element – in which one takes into account its own mechanical properties described as above with the convenient material variables.

Nonlinear periodic convection in double diffusive systems. - J. Fl. , 108, 1981, 291-316. ; Modèle rhéologique pour la diffusion d´ondes de gravité en air humide saturé et application à la convection nuageuse. - Doctoral thesis, University of Lille, 1999. ; Convection in a conditionally unstable atmosphere. ; Further studies of the properties of the cellular convection in a conditionally unstable atmosphere. - Tellus, 17, 1965, 413-433. Ogura Y. ; The evolution of a moist convective element in a shallow conditionally unstable atmosphere : a numerical calculation.

For numerical values corresponding to data in the terrestrial atmosphere, the coordinates of A are since the order of magnitude is currently the validity condition is not satisfied in the region of oscillatory solutions, which are, hence, irrealistic. 3. The equation of state Let us now return to the equation (28): with the same notations as those already used in the equations (35)-(38), the linearized Boussinesq form of this equation becomes 40 For vanishing the equation (48) becomes degenerate, because it becomes an overabundant equation satisfied by the solution of the system (35)-(38).

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