Thermodynamics of Materials with Memory

Thermodynamics of Materials with Memory

Theory and Applications

Amendola, Giovambattista; Golden, John Murrough; Fabrizio, Mauro

Springer Nature Switzerland AG

10/2021

755

Dura

Inglês

9783030805333

15 a 20 dias

1328

Descrição não disponível.
Part I: Continuum Mechanics and Classical Materials.- Introduction to Continuum Mechanics.- Materials with Constitutive Equations That Are Local in Time.- Part II: Continuum Thermodynamics and Constitutive Equations of Mechanics and Electromagnetism.- Principles of Thermodynamics.- Free Energies and the Dissipation Principle.- Thermodynamics of Materials with Memory.- Thermoelectromagnetism of Continuous Media.- Part III: Free Energies for Materials with Linear Memory.- A Linear Memory Model.- Viscoelastic Solids and Fluids.- Heat Conductors.- Free Energies on Special Classes of Material.- The Minimum Free Energy.- Representation of the Minimum Free Energy in the Time Domain.- Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors.- The Minimum Free Energy for a Continuous-Spectrum Material.- The Minimum Free Energy for a Finite-Memory Material.- Free Energies for the Case of Isolated Singularites.- Constructing Free Energies for Materials with Memory.- MinimalStates and Periodic Histories.- Second Order Approximation for Heat Conduction: Dissipation Principle and Free Energies.- Free Energies for Nonlinear Materials with Memory.- Free Energies for Nonlocal Materials.- The Minimum and Related Free Energies for Dielectric Materials.- Fractional Derivative Models of Materials with Memory.- Part IV: The Dynamical Equations for Materials with Memory.- Existence and Uniqueness.- Controllability of Thermoelastic Systems with Memory.- The Saint-Venant Problem for Viscoelastic Materials.- Exponential Decay.- Semigroup Theory for Abstract Equations with Memory.- Identification Problems for Integrodifferential Equations.- Dynamics of Viscoelastic Fluids.- Conventions and Some Properties of Vector Spaces.- Some Properties of Function on the Complex Plane.- Fourier Transformations.
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Continuum Thermodynamics;Thermoelectromagnetism;Fading memory;Free energy;Minimal state;Nonlocal materials;Fractional derivative models;Dynamical equations;Initial and boundary value problems;Existence, uniqueness, stability;Control theory;Inverse problems;Saint Venant problems with memory;Asymptotic behavior