This monograph describes some approaches to the Nonlinear theory of plates and shells.
In 1994, he received the title of Professor from the President of.
About the Author From the beginning of his academic career Jan Awrejcewicz has been associated with the Mechanical Faculty of the Lodz University of Technology, where he obtained a master\'s degree in engineering, a Ph D in technical sciences and a postdoctoral degree (habilitatioin).
Note that not all of the results presented here have been published in textbook format.
Now we shall briefly describe the contents of the book.
This monograph is one of several devoted to this subject.
Therefore the lifetime of a shell structure depends strongly on nonElastic deflections and it is important to mathematically model shell structures as precisely as possible.
The failure of a structure usually needs a small amount of time.
Such combined loads very often cause buckling of shell structures, and in many cases a series of bucklings, which can cause fracture.
It appears that the most dangerous situation for thin shallow shells is the conjunction of a static load with dynamic interactions.
The mathematical treatment of such models helps us greatly in obtaining reliable results by numerical computation.
These models allow us to include interaction between the strain and temperature fields and coupling between the displacement field and the external influence of a transonic gas flow.
Creating such types of mathematical models and their detailed justifica- tion allows us to achieve the most accurate description of the real behaviour of shell-type structures.
The nonlinearities investigated are also of various categories: geometrical, physical, elasto-plastic, and peri- odic.
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).
This monograph describes some approaches to the Nonlinear theory of plates and shells
