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Thermodynamics of Materials with Memory: Theory and Applications by Amendola
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ApproximatelyAU $281.11
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eBay item number:364228765448
Item specifics
- Condition
- Book Title
- Thermodynamics of Materials with Memory: Theory and Applications
- Publication Date
- 2021-10-21
- Edition Number
- 2
- Pages
- 755
- ISBN
- 9783030805333
- Subject Area
- Technology & Engineering, Science, Mathematics
- Publication Name
- Thermodynamics of Materials with Memory : Theory and Applications
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Materials Science / General, Mechanics / Solids, Applied
- Publication Year
- 2021
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 46.8 Oz
- Number of Pages
- Xxi, 755 Pages
About this product
Product Information
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. A work in four parts, the first is an introduction to continuum mechanics, including classical fluid mechanics, linear and non-linear elasticity. The second part considers continuum thermodynamics and its use to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In the third part, free energies for materials with linear memory constitutive relations are discussed. The concept of a minimal state is introduced. Explicit formulae are presented for the minimum and related free energies. The final part deals with existence, uniqueness, and stability results for the integrodifferential equations describing the dynamical evolution of viscoelastic materials, including a new approach based on minimal states rather than histories. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems. 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.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3030805336
ISBN-13
9783030805333
eBay Product ID (ePID)
6050396007
Product Key Features
Publication Name
Thermodynamics of Materials with Memory : Theory and Applications
Format
Hardcover
Language
English
Subject
Materials Science / General, Mechanics / Solids, Applied
Publication Year
2021
Type
Textbook
Subject Area
Technology & Engineering, Science, Mathematics
Number of Pages
Xxi, 755 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
46.8 Oz
Additional Product Features
Edition Number
2
Number of Volumes
1 Vol.
Lc Classification Number
T57-57.97
Table of Content
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.
Copyright Date
2021
Dewey Decimal
621.4021
Dewey Edition
23
Illustrated
Yes
Item description from the seller
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eBay item number:364228765448
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