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: Configurational Forces as Basic Concepts of Continuum Physics
  name:
    name part: Gurtin, Morton E.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2000
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 250 p. online resource.
  abstract: For the last decade, the author has been working to extend continuum mechanics to treat moving boundaries in materials focusing, in particular, on problems of metallurgy. This monograph presents a rational treatment of the notion of configurational forces; it is an effort to promote a new viewpoint. Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture. The work should be of interest to materials scientists, mechanicians, and mathematicians.
  table of contents: Configurational Forces within a Classical Context -- Kinematics -- Standard Forces. Working -- Migrating Control Volumes. Stationary and Time-Dependent Changes in Reference Configuration -- Configurational Forces -- Thermodynamics. Relation Between Bulk Tension and Energy. Eshelby Identity -- Inertia and Kinetic Energy. Alternative Versions of the Second Law -- Change in Reference Configuration -- Elastic and Thermoelastic Materials -- The Use of Configurational Forces to Characterize Coherent Phase Interfaces -- Interface Kinematics -- Interface Forces. Second Law -- Inertia. Basic Equations for the Interface -- An Equivalent Formulation of the Theory. Infinitesimal Deformations -- Formulation within a Classical Context -- Coherent Phase Interfaces -- Evolving Interfaces Neglecting Bulk Behavior -- Evolving Surfaces -- Configurational Force System. Working -- Second Law -- Constitutive Equations. Evolution Equation for the Interface -- Two-Dimensional Theory -- Coherent Phase Interfaces wtih Interfacial Energy and Deformation -- Theory Neglecting Standard Interfacial Stress -- General Theory with Standard and Configurational Stress within the Interface -- Two-Dimensional Theory with Standard and Configurational Stress within the Interface -- Solidification -- Solidification. The Stefan Condition as a Consequence of the Configurational Force Balance -- Solidification with Interfacial Energy and Entropy -- Fracture -- Cracked Bodies -- Motions -- Forces. Working -- The Second Law -- Basic Results for the Crack Tip -- Constitutive Theory for Growing Cracks -- Kinking and Curving of Cracks. Maximum Dissipation Criterion -- Fracture in Three Space Dimensions (Results) -- Two-Dimensional Theory of Corners and Junctions Neglecting Inertia -- Preliminaries. Transport Theorems -- Thermomechanical Theory of Junctions and Corners.
  note: by Morton E. Gurtin.
  subject:
    topic: Physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Materials science
  subject:
    topic: Physics
  subject:
    topic: Mechanics
  subject:
    topic: Theoretical and Applied Mechanics
  subject:
    topic: Characterization and Evaluation of Materials
  subject:
    topic: Applications of Mathematics
  classification: QC120-168.85
  classification: QA808.2
  classification: 531
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 137
  identifier: 9780387226569
  identifier: http://dx.doi.org/10.1007/b97847
  record info:
    record creation date: 100301
    record change date: 20151103125508.0
    record identifier: 978-0-387-22656-9