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: Nonlinear Mechanics of Thin-Walled Structures
    sub title: Asymptotics, Direct Approach and Numerical Analysis
  name:
    name part: Vetyukov, Yury.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: au
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 272 p. 474 illus., 17 illus. in color. online resource.
  abstract: This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.
  table of contents: Plane Bending of a Curved Rod -- Mechanics of Rods in Space.-Mechanics of Thin Elastic Shells -- Mechanics of Thin-Walled Rods of Open Profile -- Short Introduction toWolfram’s Mathematica.
  note: by Yury Vetyukov.
  subject:
    topic: Engineering
  subject:
    topic: Continuum mechanics
  subject:
    topic: Structural mechanics
  subject:
    topic: Mechatronics
  subject:
    topic: Engineering
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Structural Mechanics
  subject:
    topic: Mechatronics
  classification: TA405-409.3
  classification: QA808.2
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Foundations of Engineering Mechanics
  identifier: 9783709117774
  identifier: http://dx.doi.org/10.1007/978-3-7091-1777-4
  record info:
    record creation date: 140123
    record change date: 20151204182415.0
    record identifier: 978-3-7091-1777-4