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Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials

  • Date Published: December 2018
  • availability: Available
  • format: Hardback
  • isbn: 9781107129221

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  • This book presents the most recent advances on the mechanics of soft and composite shells and their nonlinear vibrations and stability, including advanced problems of modeling human vessels (aorta) with fluid-structure interaction. It guides the reader into nonlinear modelling of shell structures in applications where advanced composite and complex biological materials must be described with great accuracy. To achieve this goal, the book presents nonlinear shell theories, nonlinear vibrations, buckling, composite and functionally graded materials, hyperelasticity, viscoelasticity, nonlinear damping, rubber and soft biological materials. Advanced nonlinear shell theories, not available in any other book, are fully derived in a simple notation and are ready to be implemented in numerical codes. The work features a blend of the most advanced theory and experimental results, and is a valuable resource for researchers, professionals and graduate students, especially those interested in mechanics, aeronautics, civil structures, materials, bioengineering and solid matter at different scales.

    • Readers will discover how to use shells in biomechanics; they will also find attractive introductions to nonlinear dynamics, hyperelasticity and viscoelasticity
    • Presents the nonlinear theories of shells ready for applications to model composite and FGM structures
    • Prepares users to model complex problems with accuracy by treating different aspects of nonlinear mechanics together
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    Product details

    • Date Published: December 2018
    • format: Hardback
    • isbn: 9781107129221
    • length: 582 pages
    • dimensions: 260 x 183 x 34 mm
    • weight: 1.18kg
    • availability: Available
  • Table of Contents

    1. Classical nonlinear theories of elasticity of plates and shells
    2. Classical nonlinear theories of doubly curved shells
    3. Composite, sandwich, and functionally graded materials
    4. Nonlinear shell theory with thickness deformation
    5. Hyperelasticity of soft biological and rubber materials
    6. Nonlinear dynamics
    7. Viscoelasticity and damping
    8. Vibrations of rectangular plates
    9. Nonlinear stability and vibration of FGM rectangular plates under static and dynamic loads
    10. Nonlinear static and dynamic response of rectangular plates in rubber and biomaterial
    11. Vibrations of isotropic and laminated composite circular cylindrical shells
    12. Effect of boundary conditions on nonlinear vibrations of circular cylindrical shells
    13. Nonlinear static and dynamic response of a blood-filled and pressurized human aorta
    14. Nonlinear vibrations and stability of doubly curved shallow shells
    15. Nonlinear stability of circular cylindrical shells under static and dynamic axial loads.

  • Author

    Marco Amabili, McGill University, Montréal
    Marco Amabili is Canada Research Chair Professor in Vibrations at the Department of Mechanical Engineering, McGill University, Montreal. Considered one of the most distinguished scientists in his field of research, he is the author of over 430 papers, many of which are published in prestigious refereed international journals, including Nature Communications, as well as the book Nonlinear Vibrations and Stability of Shells and Plates (Cambridge, 2008). Professor Amabili is a Fellow of the American Society of Mechanical Engineers and is a recipient of the Christophe Pierre Research Excellence Award from McGill University.

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