Springer Tractable Models of Solid Mechanics: Formulation, Analysis and Interpretation (Foundations of Engineering Mechanics)

This book describes significant tractable models—new and old—used in solid mechanics. They are selected to illustrate the concepts allowing scientists to describe complicated effects in a simple manner, and to clarify basic notations of solid mechanics. Review From the reviews: “This book by L. I. Manevitch and O. V. Gendelman is focused on a series of so-called ‘tractable models’. … This book presents new original ideas in analysis of models from very different topics of nonlinear mechanics. The proposed approaches allow the authors to simplify complicated nonlinear problems and describe some important solutions. This book may be useful for specialists dealing with nonlinear mechanics, for theoretical physicists, and also for use in academic courses. The book is recommended for libraries.” (Yuri V. Mikhlin, Mathematical Reviews, Issue 2012 a) From the Back Cover This book describes significant tractable models used in solid mechanics - classical models used in modern mechanics as well as new ones. The models are selected to illustrate the main ideas which allow scientists to describe complicated effects in a simple manner and to clarify basic notations of solid mechanics. A model is considered to be tractable if it is based on clear physical assumptions which allow the selection of significant effects and relatively simple mathematical formulations. The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects – from systems with two degrees of freedom to three-dimensional continuous objects.