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

This book 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, Marco Amabili guides the readers through 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. A blend of the most advanced theory and experimental results is the book's other unique feature. It is a must-read for graduate students and researchers in applied mathematics and engineering, especially those interested in mechanics, aeronautics, civil structures, materials, bioengineering, and solid matter at different scales. "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 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.