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: Material Inhomogeneities and their Evolution
    sub title: A Geometric Approach
  name:
    name part: Epstein, Marcelo.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Elżanowski, Marek.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 261 p. online resource.
  abstract: Inhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by forces known in literature as material or configurational. This monograph presents a unified treatment of the theory using some of the tools of modern differential geometry. The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.). To make the text as useful as possible to active researchers and graduate students, considerable attention has been devoted to non-standard topics, such as second-grade materials, Cosserat media and functionally graded bodies.
  table of contents: Inhomogeneity in Continuum Mechanics -- An overview of inhomogeneity theory -- Uniformity of second-grade materials -- Uniformity of Cosserat media -- Functionally graded bodies -- Material Evolution -- On energy, Cauchy stress and Eshelby stress -- An overview of the theory of material evolution -- Second-grade evolution -- Mathematical Foundations -- Basic geometric concepts -- Theory of connections -- Bundles of linear frames -- Connections of higher order.
  note: by Marcelo Epstein, Marek Elżanowski.
  subject:
    topic: Engineering
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Engineering
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Mechanics
  classification: TA405-409.3
  classification: QA808.2
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Interaction Mechanics, Mathematics
  identifier: 9783540723738
  identifier: http://dx.doi.org/10.1007/978-3-540-72373-8
  record info:
    record creation date: 100301
    record change date: 20151204143224.0
    record identifier: 978-3-540-72373-8