Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure [electronic resource] / by Henry W. Haslach Jr.

By: Haslach Jr., Henry W [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextLanguage: English Publisher: New York, NY : Springer New York : Imprint: Springer, 2011Description: XI, 312p. 50 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781441977656Subject(s): Engineering | Thermodynamics | Mechanical engineering | Biomaterials | Engineering | Engineering Thermodynamics, Heat and Mass Transfer | Thermodynamics | Biomaterials | Mechanical EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 621.4021 LOC classification: TJ265QC319.8-338.5Online resources: Click here to access online
Contents:
History of Non-Equilibrium Thermodynamics -- Energy Methods -- Evolution Construction for Homogeneous Thermodynamic Systems -- Viscoelasticity -- Viscoplasticity -- The Thermodynamic Relaxation Modulus as a Multi-scale Bridge from the Atomic Level to the Bulk Material -- Contact Geometric Structure for Non-equilibrium Thermodynamics. Bifurcations in the Generalized Energy Function -- Evolution Construction for Non-homogeneous Thermodynamic Systems -- Electromagnetism and Joule Heating -- Fracture.  .
In: Springer eBooksSummary: 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.
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History of Non-Equilibrium Thermodynamics -- Energy Methods -- Evolution Construction for Homogeneous Thermodynamic Systems -- Viscoelasticity -- Viscoplasticity -- The Thermodynamic Relaxation Modulus as a Multi-scale Bridge from the Atomic Level to the Bulk Material -- Contact Geometric Structure for Non-equilibrium Thermodynamics. Bifurcations in the Generalized Energy Function -- Evolution Construction for Non-homogeneous Thermodynamic Systems -- Electromagnetism and Joule Heating -- Fracture.  .

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.

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