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:
    non sort: An
    title: introduction to nonlinear finite element analysis
    sub title: with applications to heat transfer, fluid mechanics, and solid mechanics
  name:
    name part: Reddy, J. N. (Junuthula Narasimha)
    name part: 1945-
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 2014
    copyright date: 2014
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxxi, 687 pages) : illustrations (black and white)
  abstract: The development of realistic mathematical models that govern the response of systems or processes is strongly connected to the ability to translate them into meaningful discrete models that allow for a systematic evaluation of various parameters of the systems and processes. The second edition of this book has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development and solutions of nonlinear problems.
  table of contents: Machine-generated contents note: 1. General Introduction and Mathematical Preliminaries -- 1.1. General Comments -- 1.2. Mathematical Models -- 1.3. Numerical Simulations -- 1.4. The Finite Element Method -- 1.5. Non-linear Analysis -- 1.5.1. Introduction -- 1.5.2. Classification of Non-linearities -- 1.6. Review of Vectors and Tensors -- 1.6.1. Preliminary Comments -- 1.6.2. Definition of a Physical Vector -- 1.6.2.1. Vector addition -- 1.6.2.2. Multiplication of a vector by a scalar -- 1.6.3. Scalar and Vector Products -- 1.6.3.1. Scalar product (or "dot" product) -- 1.6.3.2. Vector product -- 1.6.3.3. Plane area as a vector -- 1.6.3.4. Linear independence of vectors -- 1.6.3.5. Components of a vector -- 1.6.4. Summation Convention and Kronecker Delta and Permutation Symbol -- 1.6.4.1. Summation convention -- 1.6.4.2. Kronecker delta symbol -- 1.6.4.3. The permutation symbol -- 1.6.5. Tensors and their Matri.
  table of contents: Note continued: 6.7.4.2. Fully-discretized equations -- 6.7.5. Stability and Accuracy -- 6.7.5.1. Preliminary comments -- 6.7.5.2. Stability criteria -- 6.7.6. Computer Implementation -- 6.7.7. Numerical Examples -- 6.8. Summary -- Problems -- 7. Non-linear Bending of Elastic Plates -- 7.1. Introduction -- 7.2. The Classical Plate Theory -- 7.2.1. Assumptions of the Kinematics -- 7.2.2. Displacement and Strain Fields -- 7.3. Weak Formulation of the CPT -- 7.3.1. Virtual Work Statement -- 7.3.2. Weak Forms -- 7.3.3. Equilibrium Equations -- 7.3.4. Boundary Conditions -- 7.3.4.1. The Kirchhoff free-edge condition -- 7.3.4.2. Typical edge conditions -- 7.3.5. Stress Resultant-Deflection Relations -- 7.4. Finite Element Models of the CPT -- 7.4.1. General Formulation -- 7.4.2. Tangent Stiffness Coefficients -- 7.4.3. Non-Conforming and Conforming Plate Elements -- 7.5. Computer Implementation of the CPT Elements -- 7.5.1. General Remarks -- 7.5.2. Programming Aspects -- 7.5.3. Post-Computation of Stresses -- 7.6. Numerical Examples using the CPT Elements -- 7.6.1. Preliminary Comments -- 7.6.2. Results of Linear Analysis -- 7.6.3. Results of Non-linear Analysis -- 7.7. The First-Order Shear Deformation Plate Theory -- 7.7.1. Introduction -- 7.7.2. Displacement Field -- 7.7.3. Weak Forms using the Principle of Virtual Displacements -- 7.7.4. Governing Equations -- 7.8. Finite Element Models of the FSDT -- 7.8.1. Weak Forms -- 7.8.2. The Finite Element Model -- 7.8.3. Tangent Stiffness Coefficients -- 7.8.4. Shear and Membrane Locking -- 7.9. Computer Implementation and Numerical Results of the FSDT Elements -- 7.9.1. Computer Implementation -- 7.9.2. Results of Linear Analysis -- 7.9.3. Results of Non-linear Analysis -- 7.10. Transient Analysis of the FSDT -- 7.10.1. Equations of Motion -- 7.10.2. The Finite Element Model -- 7.10.3. Time Approximation -- 7.10.4. Numerical Examples -- 7.11. Summary -- Problems -- 8. Non-linear Bending of Elastic Shells -- 8.1. Introductio…
  table of contents: past a circular cylinder -- 11.3.3.5. Unsteady flow past a large cylinder in a narrow channel -- 11.4. Summary and Future Direction -- Problems -- Appendix 1 Solution Procedures for Linear Equations -- A1.1. Introduction -- A1.2. Direct Methods -- A1.2.1. Preliminary Comments -- A1.2.2. Symmetric Solver -- A1.2.3. Unsymmetric Solver -- A1.3. Iterative Methods -- Appendix 2 Solution Procedures for Non-linear Equations -- A2.1. Introduction -- A2.2. The Picard Iteration Method -- A2.3. The Newton Iteration Method -- A2.4. The Riks and Modified Risk Methods.
  target audience: specialized
  note: J.N. Reddy.
  note: Previous edition: 2004.
  note: Includes bibliographical references and index.
  note: English.
  subject:
    topic: Finite element method
  subject:
    topic: Nonlinear mechanics
  subject:
    topic: Méthode des éléments finis
  subject:
    topic: Mécanique non linéaire
  subject:
    topic: MATHEMATICS
    topic: Numerical Analysis
  subject:
    topic: Finite element method
  subject:
    topic: Nonlinear mechanics
  subject:
    topic: Finite-Elemente-Methode
  subject:
    topic: Nichtlineare Finite-Elemente-Methode
  subject:
    topic: Engineering & Applied Sciences
  subject:
    topic: Applied Physics
  classification: TA347.F5
  classification: 620.00151535
  identifier: 9780191789557
  identifier: 0191789550
  identifier: 9780191034855
  identifier: 0191034851
  identifier: 9780199641758
  identifier: 0199641757
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AZU
    record creation date: 141208
    record change date: 20260319160921.8
    record identifier: in00005711950
    language of cataloging:
      language term: eng