Nonlinear mechanics of shells and plates in composite, soft and biological materials / Marco Amabili, McGill University

Includes bibliographical references and index

Classical nonlinear theories of elasticity of plates and shells -- Classical nonlinear theories of doubly curved shells -- Composite, sandwich and functionally graded materials: advanced nonlinear shell theories -- Nonlinear shell theory with thickness deformation -- Hyperelasticity of soft biological and rubber materials -- Nonlinear dynamics -- Viscoelasticity and damping -- Vibrations of rectangular plates: isotropic, laminated and sandwich materials -- Nonlinear stability and vibration of FGM rectangular plates under static and dynamic loads -- Nonlinear static and dynamic response of rectangular plates in rubber and bio-material -- Vibrations of isotropic and laminated composite circular cylindrical shells -- Vibrations of isotropic and laminated composite circular cylindrical shells -- Effect of boundary conditions on nonlinear vibrations of circular cylindrical shells -- Nonlinear static and dynamic response of a blood-filled and pressurized human aorta -- Nonlinear vibrations and stability of doubly-curved shallow-shells: isotropic and laminated materials -- Nonlinear stability of circular cylindrical shells under static and dynamic axial loads

"The present book is intended for (i) graduate students in engineering, (ii) researchers working on vibrations, shell mechanics and biomechanics (iii) engineers working on aircraft, spacecraft, cars, and bioengineering. This book contains both theoretical and practical methods that could be of interest for a variety of readers. Expert researchers will find the most recent progress in nonlinear mechanics and dynamics of shells and plates, including advanced problems with nonlinear materials. Professionals will find many practical concepts, diagrams and numerical results, useful for the design of shells and plates made of traditional, advanced soft and biological materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on the nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form; (ii) an introduction to nonlinear dynamics and an extensive treatment of composite, functionally graded, hyperelastic and viscoelastic materials (iii) the state of art on nonlinear vibrations and the stability of shells and plates"-- Provided by publisher