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Advanced Finite Element Method in Structural Engineering


Advanced Finite Element Method in Structural Engineering



von: Yu-Qiu Long, Song Cen, Zhi-Fei Long

192,59 €

Verlag: Springer
Format: PDF
Veröffentl.: 29.09.2009
ISBN/EAN: 9783642003165
Sprache: englisch
Anzahl Seiten: 706

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Beschreibungen

<P><EM>Advanced Finite Element Method in Structural Engineering</EM> 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 -&nbsp; 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. </P>
<P><EM>Advanced Finite Element Method in Structural Engineering</EM> 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 -&nbsp; 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. </P>
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
<P>Mr. Yu-Qiu Long is&nbsp;Professor&nbsp;in the Department of Civil Engineering at&nbsp;Tsinghua University, and&nbsp;a member of the Chinese Academy of Engineering. His research&nbsp;is mainly&nbsp;in structural mechanics, shell structures, finite element method and variational principles. He has published 21 books and 235 papers, which&nbsp;have been&nbsp;cited more than 2000 times.&nbsp;To date, he has obtained 22 awards, at the&nbsp;national&nbsp;and provincial levels, for his&nbsp;achievements.<BR><BR>Dr. Song Cen is Associate Professor&nbsp;in the School of Aerospace at&nbsp;Tsinghua University,&nbsp; a Chinese Association of Computational Mechanics committee member, and&nbsp;a member of the International Association for Computational Mechanics. His research is mainly&nbsp;in computational solid mechanics and structural engineering. He has won several awards for his research work, including the&nbsp;Nationwide Excellent Doctoral Dissertation Award and The Young Researcher Fellowship Award, awarded by the&nbsp;First M.I.T. Conference on Computational Fluid and Solid Mechanics.</P>
<p>Introduces seven original theoretical achievements and their applications in the fields of structural engineering and computational mechanics</p><p>Discusses new strategies for avoiding five difficulties existing in traditional FEM</p>

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