Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure (PDF)
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Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also:
. Explains the theory behind a thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes, based on supplementing the second law with a maximum dissipation criterion
. Provides a geometric setting for non-equilibrium thermodynamics in differential topology and, in particular, contact structures that generalize Gibbs
. Models processes that include thermoviscoelasticity, thermoviscoplasticity, thermoelectricity and dynamic fracture
. Recovers several standard time-dependent constitutive models as maximum dissipation processes
. Produces transport models that predict finite velocity of propagation
. Emphasizes applications to the time-dependent modeling of soft biological tissue
Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.
- Autor: Henry W. Haslach Jr.
- 2011, 297 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 1441977651
- ISBN-13: 9781441977656
- Erscheinungsdatum: 15.01.2011
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- Größe: 4.56 MB
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“The author presents his construction of a geometric model for non-equilibrium thermodynamics and his maximum dissipation criterion which is assumed to complement the second law of thermodynamics. … the author explores different concrete situations where his construction of a maximum dissipation criterion may be applied. … This book will be interesting for researchers involved either in applied mathematics or in mechanics.” (Alain Brillard, Zentralblatt MATH, Vol. 1222, 2011)
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