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Static and Dynamic Analyses of Plates and Shells: Theory, Software and Applications

✍ Scribed by Hou-Cheng Huang Ph.D (auth.)


Publisher
Springer-Verlag London
Year
1989
Tongue
English
Leaves
202
Edition
1
Category
Library

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✦ Synopsis


Over the past decade or so much has been written on the various attempts to produce efficient, accurate and reliable Mindlin plate finite elements. In the late sixties, a degenerated, Mindlin-type, curved shell element was developed and subsequently many improvements in such elements have been made. Reliability and efficiency in use has always been a major objective. Degenerated shell elements have enjoyed widespread popularity despite certain potential defects, including shear and membrane lockΒ­ ing behaviour and spurious mechanisms. After introducing the basic foundations of Mindlin-type elements, this book describes these defects and also gives the reasons for their occurrence. Furthermore, the author proposes an approach to overcome these defects. A series of linear benchmark tests are proposed to illustrate the performance of the assumed strain element formulations. The formulaΒ­ tions and applications for material non-linearity are also presented. Both isotropic and anisotropic material models are included together with the results for both static and transient dynamic analyses. Two associated programs are fully documented and provided on floppy discs with test examples. Source codes for the two associated programs are provided: one is for static analysis and the other for dynamic analysis, and the programs can be compiled and run on either a mini or mainframe coniputer via a terminal. The author hopes that this book may provide further impetus in the important research area of plate and shell element technology.

✦ Table of Contents


Front Matter....Pages i-xiv
Introduction....Pages 1-5
Degenerations of Three-Dimensional Theory....Pages 7-24
Defects of Mindlin Plate and Degenerated Shell Elements....Pages 25-43
Assumed Strain Finite Element Plate Formulations....Pages 45-56
Linear Benchmark Tests for Plate Elements....Pages 57-78
Assumed Strain Finite Element Shell Formulations....Pages 79-91
Linear Benchmark Tests for Shell Elements....Pages 93-102
Formulations and Applications for Elasto-Plastic Shell Analyses....Pages 103-114
Formulations and Applications for Elasto-Plastic Dynamic Shell Analyses....Pages 115-129
Back Matter....Pages 131-194

✦ Subjects


Civil Engineering


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