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: Mathematical Methods in Continuum Mechanics of Solids
  name:
    name part: Kružík, Martin.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Roubíček, Tomáš.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 617 p. 214 illus., 4 illus. in color. online resource.
  abstract: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear, quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
  table of contents: Static Problems -- Description of Deformable Stressed Bodies -- Elastic Materials -- Polyconvex Materials: Existence Of Energy-Minimizing Deformations -- General Hyperelastic Materials: Existence/Nonexistence Results -- Linearized Elasticity -- Evolution Problems -- Linear Rheological Models at Small Strains -- Nonlinear Materials with Internal Variables at Small Strains -- Thermodynamics of Selected Materials and Processes -- Evolution at ﬁnite Strains.
  note: by Martin Kružík, Tomáš Roubíček.
  subject:
    topic: Mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Mathematical physics
  subject:
    topic: Thermodynamics
  subject:
    topic: Heat engineering
  subject:
    topic: Heat transfer
  subject:
    topic: Mass transfer
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Dynamics
  subject:
    topic: Solid Mechanics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Engineering Thermodynamics, Heat and Mass Transfer
  subject:
    topic: Vibration, Dynamical Systems, Control
  classification: TA349-359
  classification: 531
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Interaction of Mechanics and Mathematics
  identifier: 9783030020651
  identifier: https://doi.org/10.1007/978-3-030-02065-1
  record info:
    record creation date: 190302
    record change date: 20191024152207.0
    record identifier: 978-3-030-02065-1