Overview
- This is the first comprehensive treatment in book form of free energies of materials with memory
- This is the first systematic presentation in book form of a new method of analysis of the evolution equations of viscoelastic materials, using the concept of a minimal state
- The various new topics included are firmly rooted on a foundation of Continuum Thermodynamics, which is discussed in detail, including a general abstract formulation of the theory
- Constraints imposed by thermodynamics are extensively used
- The work is self-contained to a significant degree in that it contains a detailed presentation of Continuum Mechanics and classical theories
- This is the first systematic treatment in book for of the Saint Venant
- Problem for viscoelastic materials and of the controllibility of thermoelastic systems with memory
- Contains new topics in free energy functionals and fractional derivative models
- Examines explicit forms of free energies in modelling the behavior of material elements
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About this book
The second edition includes a new chapter on thermoelectromagnetism as well as recent findings on minimal states and free energies. It considers the case of minimum free energies for non-simple materials and dielectrics, together with an introduction to fractional derivative models.
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Keywords
- 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
Table of contents (30 chapters)
-
Free Energies for Materials with Linear Memory
-
The Dynamical Equations for Materials with Memory
Authors and Affiliations
Bibliographic Information
Book Title: Thermodynamics of Materials with Memory
Book Subtitle: Theory and Applications
Authors: Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
DOI: https://doi.org/10.1007/978-3-030-80534-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-80533-3Published: 21 October 2021
Softcover ISBN: 978-3-030-80536-4Published: 22 October 2022
eBook ISBN: 978-3-030-80534-0Published: 20 October 2021
Edition Number: 2
Number of Pages: XXI, 755
Number of Illustrations: 11 b/w illustrations
Topics: Mathematical Applications in the Physical Sciences, Characterization and Evaluation of Materials, Solid Mechanics, Classical Mechanics