Static and Dynamic Analyses of Plates and Shells
Subtitle: Theory, Software and Applications
By: by Hou-Cheng Huang
Publisher: Springer London
Published: 1989
Place of publication: London
Language: eng
Format: [electronic resource] :
Number of pages: 194
ISBN-13: 9781447116714; 9781447116691
Subjects: Civil engineering; Engineering
Description: This book illustrates the element technology of plates and shells and compares and contrasts the behaviour of current plate and shell elements for thick and thin shell theories as well as for static and transient dynamic analyses. It also highlights the locking phenomenon experienced by most of the currently available elements and introduces a strategy for avoiding this phenomenon. In addition, the book provides the necessary benchmark tests for plate and shell elements. The book will be useful for undergraduates since all fundamental theories are included. It should also be useful for structural engineers in order to understand shell stress analyses. They would be particularly interested in the shear forces in plate and shell structures where most elements are seen to produce poor results. For postgraduates and researchers in this field, the book will be most helpful. Many research workers have been studying shell element technology for two decades. Consequently, plate and shell element design is still an active area. Two associated programmes are provided with the book. One is for static analysis and the other for dynamic analysis. The programmes can be compiled and run on either a mini or a mainframe computer via a terminal.
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Table of contents: title: Contents: Introduction: Changing Trends in Shell Analysis. Reliability of Finite Element Analysis. Shell Element Formulations. Objective and Layout; title: Degenerations of Three-Dimensional Theory: Three-Dimensional Theory. Plate Theory. Three-Dimensional Degenerated Curved Shell; title: Defects of Mindlin Plate and Degenerated Shell Elements: Formulation of Mindlin Plate Bending Elements. Formulation of Degenerated Shell Elements. Defects of Mindlin Plate and Degenerated Shell Elements; title: Assumed Strain Finite Element Plate Formulations: Essence of Shear Locking. Reinterpretation of Selectively Integrated Elements. Elimination of Shear Locking; title: Linear Benchmark Tests for Plate Elements: Eigen- Analyses of the Stiffness Matrices. Patch Tests. Locking Tests. Long Cantilever. Convergence Tests. Skew Plates. Stress Resultant Study; title: Assumed Strain Finite Element Shell Formulations: Shear Locking, Membrane Locking and Selective Integration. Elimination of Shear Locking. Elimination of Membrane Locking. Assumed Strain Degenerated Shell Elements. Discussion; title: Linear Benchmark Tests for Shell Elements: Eigen-Analysis of the Stiffness Matrices. Patch Tests. Locking Tests. Conclusions; title: Formulations and Applications for Elasto-Plastic Shell Analyses: Laminated Plate and Shell Model. Shear Correction Factors. The Anisotropic Yield Criterion. Numerical Examples; title: Formulations and Applications for Elasto-Plastic Dynamic Shell Analyses: Dynamic Equilibrium Equations. Modelling of Mass Matrix. Newmark's Time Stepping Scheme. Numerical Examples; title: Appendix 1 und 2; title: Author Index; title: Subject Index.