This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

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.

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced 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 nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

In this impressively thorough work, Amabili (U. of Parma, Italy) utilizes nonlinear shell and plate theory to analyze shell stability in the presence of vibration, beginning the volume with an overview of the nonlinear theory of rectangular and circular plates and circular cylindrical and spherical shells. Nonclassical nonlinear theories are described in the second chapter, with attention to shear deformation and rotary inertia, and an overview of thermal stresses. Building on these foundations, Amabili turns to detailed discussion of nonlinear dynamics, stability, bifurcation analysis, and computational tools, with particular emphasis on the Galerkin method and Lagrange equations of motion and their applications to a variety of applications concerning discretizing plates and shells. Discussion of numerical techniques and various classical nonlinear shell theories follow, as these are applied for large amplitude vibrations of various shells and panels. Other chapters discuss stability under static and periodic loads, the methods for modeling aerodynamic loads, and problems arising from fluid-structure interaction, among other topics.