Thermodynamics of Materials with Memory: Theory and Applications

By Giovambattista Amendola, John Murrough Golden, Mauro Fabrizio

Book Overview

Introduction to Continuum.-Materials with Constitutive Equations That Are Local in Time.- Principles of Thermodynamics.- Free Energies and the Dissipation Principle.-Thermodynamics of Materials with 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.- A Family of Free Energies.- Properties and Explicit Forms of Free Energies for the Case of Isolated Singularities.- Free Energies for Nonlocal Materials.- 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.- A Conventions and Some Properties of Vector Spaces.- References.- Index.

• Format: Paperback
• Language: English
• ISBN: 1489995870
• ISBN13: 9781489995872
• Release Date: January 2014
• Publisher: Springer
• Length: 576 Pages
• Weight: 1.80 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"