Advanced Finite Element Method in Structural Engineering

  • Yu-Qiu Long
  • Song Cen
  • Zhi-Fei Long

Table of contents

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

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

    1. Front Matter
      Pages 12-12
    2. Yu-Qiu Long, Zhi-Fei Long, Song Cen
      Pages 15-65
    3. Yu-Qiu Long, Song Cen, Zhi-Fei Long
      Pages 66-85
  4. Advances in finite element method —Generalized conforming elements

  5. Other Advances in Finite Element Method

    1. Front Matter
      Pages 402-402
    2. Yu-Qiu Long, Song Cen
      Pages 438-494
    3. Yu-Qiu Long, Song Cen, Zhi-Fei Long
      Pages 546-581
    4. Song Cen, Yu-Qiu Long, Zhi-Fei Long
      Pages 691-702
  6. Back Matter
    Pages 703-706

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.


FEM Finite Elemente Finite-Elemente-Methode TUP calculus development mechanics

Authors and affiliations

  • Yu-Qiu Long
    • 1
  • Song Cen
    • 2
  • Zhi-Fei Long
    • 3
  1. 1.Department of Civil EngineeringTsinghua UniversityBeijingChina
  2. 2.School of AerospaceTsinghua UniversityBeijingChina
  3. 3.School of Mechanics & Civil EngineeringChina University of Mining & TechnologyBeijingChina

Bibliographic information