Advanced Finite Element Method in Structural Engineering

Introduction-The Finite Element Method in Development.- Sub-Region Variational Principles.- Variational Principles with Arbitrary Parameters.- Theory of the Generalized Conforming Element.- Thin Plate Generalized Conforming Elements I -- Summary.- Thin Plate Generalized Conforming Elements II -- The Side-Point Version Conforming and the SemiLoof Schemes.- Thin Plate Generalized Conforming Elements III -- The Perimeter-Point Version Conforming and the Least -Squares Schemes.- Thick Plate Generalized Conforming Elements.- Generalized Conforming Element for the Analysis of Laminated Composite Plates.- Generalized Conforming Element for the Analysis of Piezoelectric Laminated Composite Plates.- Generalized Conforming Membrane and Shell Elements.- Sub-Region Mixed Finite Element Method I -- Fundamental Theory and Calculation of Stress Intensity Factor.- Sub-Region Mixed Finite Element Method II -- V-Notch Problems.- Analytical Trial Function Method I -- Membrane and Plate Bending Elements.- Analytical Trial Function Method II -- Singular Elements with Crack and V-Notch.- Quadrilateral Area Coordinates I -- Theory and Formulae.- Quadrilateral Area Coordinates II -- New Tool for Constructing Quadrilateral Elements.- Spline Element Method I -- Analysis of Tall Building Structures.- Spline Element Method II -- Analysis of Plate and Shell Structures.- Conclusion Remark

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.