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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.