Thermodynamics of Materials with Memory

Theory and Applications

AvGiovambattista Amendola,Mauro Fabrizio

Inbunden, Engelska, 2021

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Beskrivning

This monograph deals with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations that describe their evolution in time under varying loads.

Produktinformation

Utgivningsdatum:2021-10-21
Mått:155 x 235 x 47 mm
Vikt:1 320 g
Format:Inbunden
Språk:Engelska
Antal sidor:755
Upplaga:2
Förlag:Springer Nature Switzerland AG
ISBN:9783030805333

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Innehållsförteckning

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.