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