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Plates

Theories and Applications

  • Textbook
  • © 2021

Overview

Authors:
  1. K. Bhaskar

    1. Department of Aerospace Engineering, Indian Institute of Technology, Madras, Chennai, India

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    You can also search for this author in PubMed   Google Scholar

  2. T. K. Varadan

    1. Department of Aerospace Engineering, Indian Institute of Technology, Madras, Chennai, India

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Is a comprehensive study of plate structures

  • Contains end-of-chapter problems and worked examples

  • Serves extremely useful for the senior undergraduate and postgraduate students of aerospace engineering and mechanical engineering

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi
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  2. Classical Theory and Straightforward Applications

    1. Front Matter

      Pages 1-1
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    2. Definition of a Thin Plate

      • K. Bhaskar, T. K. Varadan
      Pages 3-10

    3. Classical Plate Theory

      • K. Bhaskar, T. K. Varadan
      Pages 11-28

    4. A Critical Assessment of Classical Plate Theory

      • K. Bhaskar, T. K. Varadan
      Pages 29-33

    5. Analysis of Rectangular Plates

      • K. Bhaskar, T. K. Varadan
      Pages 35-57

    6. Analysis of Circular Plates

      • K. Bhaskar, T. K. Varadan
      Pages 59-75

    7. Free and Forced Vibrations

      • K. Bhaskar, T. K. Varadan
      Pages 77-87

    8. Effect of In-Plane Forces on Static Flexure, Dynamics and Stability

      • K. Bhaskar, T. K. Varadan
      Pages 89-101

    9. Approximate Solutions

      • K. Bhaskar, T. K. Varadan
      Pages 103-133

  3. Complicating Effects and Corresponding Theories

    1. Front Matter

      Pages 151-151
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    2. Anisotropic, Laminated and Functionally Graded Plates

      • K. Bhaskar, T. K. Varadan
      Pages 137-158

    3. Elasticity Solutions for Plates

      • K. Bhaskar, T. K. Varadan
      Pages 159-180

    4. Shear Deformation Theories

      • K. Bhaskar, T. K. Varadan
      Pages 181-195

    5. Variable Thickness Plates

      • K. Bhaskar, T. K. Varadan
      Pages 197-203

    6. Plate Buckling Due to Non-uniform Compression

      • K. Bhaskar, T. K. Varadan
      Pages 205-215

    7. Non-linear Flexure and Vibrations

      • K. Bhaskar, T. K. Varadan
      Pages 217-241

    8. Post-buckling Behaviour

      • K. Bhaskar, T. K. Varadan
      Pages 243-251

  4. Back Matter

    Pages 253-282
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Keywords

About this book

This book covers the essentials of developments in the area of plate structures and presents them so that the readers can obtain a quick understanding and overview of the subject. Several theoretical models are employed for their analysis and design starting from the classical thin plate theory to alternatives obtained by incorporation of appropriate complicating effects or by using fundamentally different assumptions. The book includes pedagogical features like end-of-chapter exercises and worked examples to help students in self-learning. The book is extremely useful for the senior undergraduate and postgraduate students of aerospace engineering and mechanical engineering.

Authors and Affiliations

  • Department of Aerospace Engineering, Indian Institute of Technology, Madras, Chennai, India

    K. Bhaskar, T. K. Varadan

About the authors

Prof. K. Bhaskar has been with Indian Institute of Technology, Madras, since 1992. As part of the Department of Aerospace Engineering, he teaches courses related to Solid Mechanics and Elasticity. His research contributions are primarily related to theoretical modeling of thick laminated structures, with around fifty publications in refereed international journals.
 
Prof. T. K. Varadan was with the Department of Aerospace Engineering, Indian Institute of Technology, Madras, for more than 35 years before retiring in 2001. Besides teaching a wide variety of courses related to Structural Mechanics and Aircraft Design, he has made significant research contributions in the areas of Non-linear Vibrations and Composite Structures, with more than one hundred publications in refereed international and national journals.

Bibliographic Information

  • Book Title: Plates

  • Book Subtitle: Theories and Applications

  • Authors: K. Bhaskar, T. K. Varadan

  • DOI: https://doi.org/10.1007/978-3-030-69424-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Author(s) 2021

  • Hardcover ISBN: 978-3-030-69423-4Published: 08 May 2021

  • Softcover ISBN: 978-3-030-69426-5Published: 08 May 2022

  • eBook ISBN: 978-3-030-69424-1Published: 07 May 2021

  • Edition Number: 1

  • Number of Pages: XI, 282

  • Number of Illustrations: 100 b/w illustrations, 1 illustrations in colour

  • Topics: Solid Mechanics, Mechanical Engineering, Vibration, Dynamical Systems, Control, Structural Materials

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