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: Microstructured Materials: Inverse Problems
  name:
    name part: Janno, Jaan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Engelbrecht, Jüri.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 162 p. online resource.
  abstract: Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.
  table of contents: Introduction -- 1 Inverse problems and non-destructive evaluation -- 2 Mathematical models of microstructured solids -- 3 Linear waves -- 4 Inverse problems for linear waves -- 5 Solitary waves in nonlinear models -- 6 Inverse problems for solitary waves -- 7 Summary -- References -- Index.
  note: by Jaan Janno, Jüri Engelbrecht.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Structural materials
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Mechanics
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Structural Materials
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783642215841
  identifier: http://dx.doi.org/10.1007/978-3-642-21584-1
  record info:
    record creation date: 110826
    record change date: 20151116133552.0
    record identifier: 978-3-642-21584-1