rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Thermodynamics of Materials with Memory
    sub title: Theory and Applications
  name:
    name part: Amendola, Giovambattista.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Fabrizio, Mauro.
    role:
      role term: author.
  name:
    name part: Golden, John Murrough.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 576 p. online resource.
  abstract: 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 non-linear. 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 non-simple 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 non-simple 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 Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.
  table of 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 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.
  note: by Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Materials science
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Characterization and Evaluation of Materials
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Mechanics
  classification: QC19.2-20.85
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781461416920
  identifier: http://dx.doi.org/10.1007/978-1-4614-1692-0
  record info:
    record creation date: 111117
    record change date: 20151125221447.0
    record identifier: 978-1-4614-1692-0