This monograph describes some approaches to the nonlinear theory of plates and shells. By nonclassical approaches we mean the desciption of problems with mathematical models of different sizes (two-and three-dimensional dif- ferential equations) and different types (differential equations of hyperbolic and parabolic type in the spatial coordinates). The nonlinearities investigated are also of various categories: geometrical, physical, elasto-plastic, and peri- odic. Creating such types of mathematical models and their detailed justifica- tion allows us to achieve the most accurate description...

Presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of Awrejcewicz (Technical U., Institute of Applied Mathematics, Lodz, Poland). Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytic

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic...