Thermodynamics of Materials with Memory

Theory and Applications

AvGiovambattista Amendola,Mauro Fabrizio

Häftad, Engelska, 2022

1 409 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 167 kr

Inbunden

1 589 kr

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:2022-10-22
Mått:155 x 235 x 42 mm
Vikt:1 159 g
Format:Häftad
Språk:Engelska
Antal sidor:755
Upplaga:2
Förlag:Springer Nature Switzerland AG
ISBN:9783030805364

Utforska kategorier

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.