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: Rate-Independent Systems
    sub title: Theory and Application
  name:
    name part: Mielke, Alexander.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Roubíček, Tomáš.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2015
    edition: 1st ed. 2015.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 660 p. 75 illus., 13 illus. in color. online resource.
  abstract: This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, first on an abstract level with or without a linear structure, discussing various concepts of solutions with full mathematical rigor. The usefulness of the abstract concepts is then demonstrated on the level of various applications primarily in continuum mechanics of solids, including suitable approximation strategies with guaranteed numerical stability and convergence. Particular applications concern inelastic processes such as plasticity, damage, phase transformations, or adhesive-type contacts both at small strains and at finite strains. Other physical systems such as magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. This book presents the mathematical framework for a rigorous mathematical treatment of rate-independent systems in a comprehensive form for the first time. Researchers and graduate students in applied mathematics, engineering, and computational physics will find this timely and well-written book useful.
  table of contents: 1. A general view on rate-independent systems.- 2. Energetic rate-independent systems.- 3. Rate-independent systems in Banach spaces.- 4. Applications in continuum mechanics and physics of solids -- 5. Beyond rate independence.- Appendices.- References -- Index .
  note: by Alexander Mielke, Tomáš Roubíček.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Physics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 193
  identifier: 9781493927067
  identifier: http://dx.doi.org/10.1007/978-1-4939-2706-7
  record info:
    record creation date: 151021
    record change date: 20151028121256.0
    record identifier: 978-1-4939-2706-7