Thermodynamics of Materials with Memory: Theory and Applications (Paperback) (ISBN-13: 9783030805364)

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.- Minimal States 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.


Author: Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
ISBN-10: 3030805360
ISBN-13: 9783030805364
Publisher: Springer
Language: English
Published: 10/22/2022
Pages: 755
Format: Paperback
Weight: 2.36lbs
Size: 9.21h x 6.14w x 1.55d