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This monograph presents a systematic, step-by-step approach to the continuum modeling of flow phenomena exhibited within materials endowed with a complex internal microstructure, such as polymers & liquid crystals. By combining the principles of Hamiltonian mechanics with those of irreversible thermodynamics, Antony N. Beris & Brian J. Edwards, renowned authorities on the subject, expertly describe the complex interplay between conservative & dissipative processes. Throughout the text, the authors emphasize the evaluation of the free energy -largely based on ideas from statistical mechanics - & how to fit the values of the phenomenological parameters against those of microscopic models.

Transport theory --- Microstructure --- Thermodynamics --- Hamiltonian systems. --- Viscoelasticity. --- Poisson brackets. --- Materials --- Brackets, Poisson --- Poisson's brackets --- Differential equations, Nonlinear --- Continuum mechanics --- Elasticity --- Viscosity --- Relaxation phenomena --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Matter --- Morphology --- Micromechanics --- Stereology --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Mathematical models. --- Constitution --- Transport theory - Mathematical models. --- Microstructure - Mathematical models. --- Thermodynamics - Mathematical models.

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This volume deals with the simulation of metamorphic and tectonic microstrucutres in rocks with a special emphasis on the modelling package "Elle". The first part provides a review of the problems and opportunities in the modelling of microstructures, followed by an introduction to various numerical modelling techniques. In the second part examples of the modelling of  different processes which alter rock microstructure are presented, beginning with individual processes and progressing to modelling multiple coupled processes.

Gestein --- Mikromorphologie --- Dynamische Geomorphologie --- Mathematisches Modell --- Rocks --- Geomorphology --- Géomorphologie --- Microstructure --- Mathematical models. --- Computer simulation. --- Modèles mathématiques --- Geodynamics -- Mathematical models. --- Rocks -- Microstructure -- Computer simulation. --- Rocks -- Microstructure -- Mathematical models. --- Geodynamics --- Petrology --- Dynamic & Structural Geology --- Geology - General --- Physical Geography --- Geology --- Geography --- Earth & Environmental Sciences --- Microstructures --- Mathematical models --- Computer simulation --- Dynamic geology --- Tectonophysics --- Earth sciences. --- Geology. --- Geotechnical engineering. --- Earth Sciences. --- Earth Sciences, general. --- Geotechnical Engineering & Applied Earth Sciences. --- Geophysics --- Stone --- Geography. --- Geognosy --- Geoscience --- Earth sciences --- Natural history --- Cosmography --- World history --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Geosciences --- Environmental sciences --- Physical sciences

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The contributions to the book concern various aspects of extension of classical continuum models. These extensions are related to the appearance of microstructures both natural as well as these created by processes. To the first class belong various thermodynamic models of multicomponent systems such as porous materials, composites, materials with microscopic heterogeneities. To the second class belong primarily microstructures created by phase transformations. Invited authors cover both fields of thermodynamic modeling and mathematical analysis of such continua with microstructure. In particular the following subjects are covered: thermodynamic modeling of saturated and unsaturated porous and granular media, linear and nonlinear waves in such materials, extensions of constitutive laws by internal variables, higher gradients and nonequilibrium fields, stochastic processes in porous and fractal materials, thermodynamic modeling of composite materials, mathematical analysis of multicomponent systems, phase transformations in solids.

Microstructure -- Mathematical models. --- Microstructure. --- Microstructure --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- Mathematical models --- Mathematical models. --- Engineering. --- Amorphous substances. --- Complex fluids. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Continuum mechanics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Continuum Mechanics and Mechanics of Materials. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Ceramics, Glass, Composites, Natural Methods. --- Materials --- Matter --- Morphology --- Micromechanics --- Stereology --- Constitution --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Ceramics, Glass, Composites, Natural Materials. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Ceramics. --- Glass. --- Composites (Materials). --- Composite materials. --- Composites (Materials) --- Multiphase materials --- Reinforced solids --- Solids, Reinforced --- Two phase materials --- Amorphous substances --- Ceramics --- Glazing --- Ceramic technology --- Industrial ceramics --- Keramics --- Building materials --- Chemistry, Technical --- Clay --- Complex liquids --- Fluids, Complex --- Liquids --- Soft condensed matter --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Chemistry, Physical and theoretical --- Mechanics --- Heat-engines