The Resource Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
Resource Information
The item Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and nonlinear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of nonsimple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of nonsimple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the SaintVenant problem for viscoelastic materials and on the theory of inverse problems
 Language
 eng
 Extent
 1 online resource (xv, 574 pages)
 Contents

 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 ContinuousSpectrum Material
 The Minimum Free Energy for a FiniteMemory 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 SaintVenant 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
 Isbn
 9781461416920
 Label
 Thermodynamics of materials with memory : theory and applications
 Title
 Thermodynamics of materials with memory
 Title remainder
 theory and applications
 Statement of responsibility
 Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
 Subject

 Continuum mechanics
 Continuum mechanics
 Continuum mechanics
 Materials
 Mathematical Applications in the Physical Sciences
 Mathematics
 Mechanics
 Models, Theoretical
 SCIENCE  Mechanics  Thermodynamics
 Smart materials  Mathematical models
 Smart materials  Mathematical models
 Smart materials  Mathematical models
 Surfaces (Physics)
 Thermodynamics
 Thermodynamics  Mathematical models
 Thermodynamics  Mathematical models
 Thermodynamics  Mathematical models
 Continuum Mechanics and Mechanics of Materials
 Language
 eng
 Summary
 This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and nonlinear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of nonsimple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of nonsimple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the SaintVenant problem for viscoelastic materials and on the theory of inverse problems
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Amendola, Giovambattista
 Dewey number
 536/.7
 Index
 index present
 LC call number
 QC311
 LC item number
 .A44 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1940
 1945
 http://library.link/vocab/relatedWorkOrContributorName

 Fabrizio, Mauro
 Golden, J. M.
 http://library.link/vocab/subjectName

 Thermodynamics
 Smart materials
 Continuum mechanics
 Thermodynamics
 Models, Theoretical
 Mechanics
 Mathematics
 SCIENCE
 Continuum mechanics
 Smart materials
 Thermodynamics
 Label
 Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 ContinuousSpectrum Material  The Minimum Free Energy for a FiniteMemory 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 SaintVenant 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
 Control code
 763300679
 Dimensions
 unknown
 Extent
 1 online resource (xv, 574 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781461416920
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461416920
 http://library.link/vocab/ext/overdrive/overdriveId
 1461416914
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)763300679
 Label
 Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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 ContinuousSpectrum Material  The Minimum Free Energy for a FiniteMemory 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 SaintVenant 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
 Control code
 763300679
 Dimensions
 unknown
 Extent
 1 online resource (xv, 574 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781461416920
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461416920
 http://library.link/vocab/ext/overdrive/overdriveId
 1461416914
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)763300679
Subject
 Continuum mechanics
 Continuum mechanics
 Continuum mechanics
 Materials
 Mathematical Applications in the Physical Sciences
 Mathematics
 Mechanics
 Models, Theoretical
 SCIENCE  Mechanics  Thermodynamics
 Smart materials  Mathematical models
 Smart materials  Mathematical models
 Smart materials  Mathematical models
 Surfaces (Physics)
 Thermodynamics
 Thermodynamics  Mathematical models
 Thermodynamics  Mathematical models
 Thermodynamics  Mathematical models
 Continuum Mechanics and Mechanics of Materials
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Thermodynamicsofmaterialswithmemorytheory/suGj6tyTA2s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Thermodynamicsofmaterialswithmemorytheory/suGj6tyTA2s/">Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Thermodynamicsofmaterialswithmemorytheory/suGj6tyTA2s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Thermodynamicsofmaterialswithmemorytheory/suGj6tyTA2s/">Thermodynamics of materials with memory : theory and applications, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>