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: Improved analysis of laminated heterogeneous beams and associated formulation of a new finite element method
  name:
    name part: Khandoker, Shafiqul I.
    role:
      role term: creator
  name:
    name part: Alexander, Richard M.
    role:
      role term: degree committee member.
  name:
    name part: Haisler, Walter E.
    role:
      role term: degree committee member.
  name:
    name part: Kozik, Thomas J.
    role:
      role term: degree supervisor.
  name:
    name part: Martinez, Jose E.
    role:
      role term: degree committee member.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  genre: Academic theses
  origin info:
    place:
      place term: xx
    date issued: 1988
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xi, 118 leaves : illustrations ; 29 cm
  abstract: Kirchhoff's theory for plates and Bernouilli-Euler's theory for beams ignore the effects of transverse shear and normal deformations on stresses and displacements. Various subsequent theories have incorporated these effects by using an assumed displacement field. But these theories do not satisfy all the necessary elasticity equations. Kozik's kinematics-based equation provides an exact displacement within the limitation of linear theory of elasticity. By discretizing a beam through the thickness into hypothetical layers, this study determines explicit relations between transverse strains and inter-layer transverse stresses. An expression for the displacement field is then obtained using Kozik's equation. The resulting displacement and strain fields are functions of the reference surface displacements and transverse inter-layer stresses. The constitutive relations and the equations of equilibrium for each layer are utilized in an anlytical solution employed to determine the inter-layer stresses. As an alternative approach, a finite element method based on a modified form of the Hu-Washizu variational principle is formulated. In this formulation the derived displacement field is employed. Further modifications of this principle, were necessary in order to adjust the special features of the displacement field. This research also includes several case studies of homogeneous and heterogeneous beams. The results for displacement and stress fields closely approximate exact solutions for both homogeneous and heterogeneous beams. The bending stresses in heterogeneous beams are especially accurate as compared to values obtained by either classical or ad-hoc beam theories.
  note: "Major subject: Mechanical Engineering."
  note: Typescript (photocopy).
  note: Vita.
  note: Ph. D. Texas A & M University 1988
  note: Includes bibliographical references.
  subject:
    topic: Composite materials
  subject:
    topic: Laminated materials
  subject:
    topic: Stress concentration
    topic: Mathematical models
  subject:
    topic: Structural analysis (Engineering)
  subject:
    topic: Major mechanical engineering
  identifier: http://proxy.library.tamu.edu/login
  identifier: https://hdl.handle.net/1969.1/DISSERTATIONS-794244
  identifier: http://gateway.proquest.com/openurl
  related item:
    location:
      url: http://proxy.library.tamu.edu/login
  related item:
    location:
      url: https://hdl.handle.net/1969.1/DISSERTATIONS-794244
  related item:
    location:
      url: http://gateway.proquest.com/openurl
  record info:
    record content source: TXA
    record creation date: 891005
    record change date: 20220104090429.0
    record identifier: in00000776591
    language of cataloging:
      language term: eng