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  • © 2009

Advanced Finite Element Method in Structural Engineering

  • Introduces seven original theoretical achievements and their applications in the fields of structural engineering and computational mechanics

  • Discusses new strategies for avoiding five difficulties existing in traditional FEM

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction — The Evolutive Finite Element Method

    1. Introduction — The Evolutive Finite Element Method

      • Yu-Qiu Long, Song Cen, Zhi-Fei Long
      Pages 1-11
  3. Advances in Variational Principles

    1. Front Matter

      Pages 12-12
    2. The Sub-Region Variational Principles

      • Yu-Qiu Long, Zhi-Fei Long, Song Cen
      Pages 15-65
    3. Variational Principles with Several Adjustable Parameters

      • Yu-Qiu Long, Song Cen, Zhi-Fei Long
      Pages 66-85
  4. Advances in finite element method —Generalized conforming elements

    1. Front Matter

      Pages 86-86
    2. Generalized Conforming Element Theory

      • Yu-Qiu Long, Ke-Gui Xin
      Pages 89-100
    3. Generalized Conforming Thick Plate Element

      • Song Cen, Zhi-Fei Long
      Pages 203-267
    4. Generalized Conforming Membrane and Shell Elements

      • Zhi-Fei Long, Song Cen
      Pages 325-401
  5. Other Advances in Finite Element Method

    1. Front Matter

      Pages 402-402
    2. Sub-Region Mixed Element II—V-Notch Problem

      • Yu-Qiu Long, Song Cen
      Pages 438-494
    3. Quadrilateral Area Coordinate Systems, Part I — Theory and Formulae

      • Yu-Qiu Long, Song Cen, Zhi-Fei Long
      Pages 546-581

About this book

Advanced Finite Element Method in Structural Engineering systematically introduces the research work on the Finite Element Method (FEM), which was completed by Prof. Yu-qiu Long and his research group in the past 25 years. Seven original theoretical achievements - for instance, the Generalized Conforming Element method, to name one -  and their applications in the fields of structural engineering and computational mechanics are discussed in detail. The book also shows the new strategies for avoiding five difficulties that exist in traditional FEM (shear-locking problem of thick plate elements; sensitivity problem to mesh distortion; non-convergence problem of non-conforming elements; accuracy loss problem of stress solutions by displacement-based elements; stress singular point problem) by utilizing foregoing achievements.

Authors and Affiliations

  • Department of Civil Engineering, Tsinghua University, Beijing, China

    Yu-Qiu Long

  • School of Aerospace, Tsinghua University, Beijing, China

    Song Cen

  • School of Mechanics & Civil Engineering, China University of Mining & Technology, Beijing, China

    Zhi-Fei Long

About the authors

Mr. Yu-Qiu Long is Professor in the Department of Civil Engineering at Tsinghua University, and a member of the Chinese Academy of Engineering. His research is mainly in structural mechanics, shell structures, finite element method and variational principles. He has published 21 books and 235 papers, which have been cited more than 2000 times. To date, he has obtained 22 awards, at the national and provincial levels, for his achievements.

Dr. Song Cen is Associate Professor in the School of Aerospace at Tsinghua University,  a Chinese Association of Computational Mechanics committee member, and a member of the International Association for Computational Mechanics. His research is mainly in computational solid mechanics and structural engineering. He has won several awards for his research work, including the Nationwide Excellent Doctoral Dissertation Award and The Young Researcher Fellowship Award, awarded by the First M.I.T. Conference on Computational Fluid and Solid Mechanics.

Bibliographic Information

  • Book Title: Advanced Finite Element Method in Structural Engineering

  • Authors: Yu-Qiu Long, Song Cen, Zhi-Fei Long

  • DOI: https://doi.org/10.1007/978-3-642-00316-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • eBook ISBN: 978-3-642-00316-5Published: 29 September 2009

  • Edition Number: 1

  • Number of Pages: XIV, 706

  • Number of Illustrations: 219 b/w illustrations

  • Additional Information: Co-published with Tsinghua University Press

  • Topics: Mechanical Engineering, Engineering, general, Solid Mechanics, Computational Intelligence

Buy it now

Buying options

eBook USD 199.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access