Advanced Finite Element Method in Structural Engineering

1. Introduction — The Evolutive Finite Element Method
Yu-Qiu Long, Song Cen, Zhi-Fei Long

PART I. Advances in Variational Principles

2. The Sub-Region Variational Principles
Yu-Qiu Long, Zhi-Fei Long, Song Cen

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

PART II. Advances in finite element method —Generalized conforming elements

4. Generalized Conforming Element Theory
Yu-Qiu Long, Ke-Gui Xin

5. Generalized Conforming Thin Plate Element I—Introduction
Zhi-Fei Long, Song Cen

6. Generalized Conforming Thin Plate Element II—Line-Point and SemiLoof Conforming Schemes
Zhi-Fei Long, Song Cen

7. Generalized Conforming Thin Plate Element III — Perimeter-Point and Least-Square Conforming Schemes
Song Cen, Zhi-Fei Long

8. Generalized Conforming Thick Plate Element
Song Cen, Zhi-Fei Long

9. Generalized Conforming Element for the Analysis of the Laminated Composite Plates
Song Cen, Yu-Qiu Long

10. Generalized Conforming Element for the Analysis of Piezoelectric Laminated Composite Plates
Song Cen, Yu-Qiu Long

11. Generalized Conforming Membrane and Shell Elements
Zhi-Fei Long, Song Cen

Part III. Other Advances in Finite Element Method

12. Sub-Region Mixed Element I — Fundamental Theory and Crack Problem
Yu-Qiu Long, Song Cen

13. Sub-Region Mixed Element II—V-Notch Problem
Yu-Qiu Long, Song Cen

14. Analytical Trial Function Method I — Membrane and Plate Bending Elements
Song Cen, Zhi-Fei Long

15. Analytical Trial Function Method II — Singular Elements with Crack and Notch
Song Cen, Zhi-Fei Long

16. Quadrilateral Area Coordinate Systems, Part I — Theory and Formulae
Yu-Qiu Long, Song Cen, Zhi-Fei Long

17. Quadrilateral Area Coordinate Systems, Part II — New Tools for Constructing Quadrilateral Elements
Song Cen, Zhi-Fei Long

18. Spline Element I—Analysis of High-Rise Building Structures
Yu-Qiu Long, Zhong Fan

19. Spline Element II — Analysis of Plate/Shell Structures
Yu-Qiu Long, Si Yuan

20. Concluding Remarks
Song Cen, Yu-Qiu Long, Zhi-Fei Long

Keywords: Engineering, Mechanical Engineering, Structural Mechanics, Computational Intelligence