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: Finite Element Analysis
  title info:
    title: MATHnetBASE
  name:
    name part: Moatamedi, M
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Khawaja, Hassan A.
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2018
    copyright date: 2019
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (162 pages) : 59 illustrations, text file, PDF
  abstract: Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.
  table of contents: Table of Content -- Introduction -- Book Aims and Objectives -- History and Perspective -- The Finite Element Mesh: Terminology -- Matrix Stiffness Methods -- The Simple Bar Element -- Assembly of Bar Elements The Global Stiffness Matrix -- Loads and Boundary Conditions -- A Solution Strategy -- Numerical Examples -- Error Analysis and Ill-Conditioning -- Singular Equations: Rigid Body Modes and Mechanisms -- Symmetry, Anti-symmetry and Asymmetry -- Thermal Loads -- The Finite Element Formulation One-Dimensional Problems -- The Fundamental Equations -- The Shape Function -- The Finite Element Equations -- The Element Stiffness Matrix for a 2 Node Bar with Linear Shape Functions -- The Finite Element Formulation - Two-Dimensional Problems -- The Fundamental Equations -- The Finite Element Formulation for a Continuum -- A Triangular Element -- A Quadrilateral Element -- Numerical Study - Pin-Jointed Frame with a Shear Web -- Restrictions on Element Formulation - Completeness and Compatibility -- Computational Implementation of the Finite Element Method -- Solution Methodologies - Frontal v Banded Solvers -- Storage of the Stiffness Matrix -- Numerical Integration - Gaussian Quadrature -- Beams, Plates, Shells and Solids -- Solid Elements -- A Beam Element -- Plates and Shells -- Parametric Element Formulation -- Isoparametric bar element -- Isoparametric Four-Node Quadrilateral Element -- Isoparametric Eight-Node Quadrilateral Element --.
  note: by M Moatamedi and Hassan A. Khawaja.
  note: Also available in print format.
  note: Includes bibliographical references and index.
  subject:
    topic: Finite element method
  subject:
    topic: MATHEMATICS / Applied
  subject:
    topic: SCIENCE / Mechanics / General
  subject:
    topic: FEA
  subject:
    topic: FEM
  subject:
    topic: Finite Element Analysis
  subject:
    topic: Finite Element Method
  classification: TA347 .F5
  classification: 518/.25
  identifier: 9780429453076
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 181112
    record change date: 20220613180036.0
    record identifier: in00004581980