Publisher's Synopsis
This book considers and compares three dynamic mathematical models: elastic, quasi-static and elastic-plastic. It also presents solutions to the problems of impact and non-stationary interaction of absolutely hard bodies and fine elastic shells. As is argued here, it is necessary to determine the life-resource and crack resistance of constructions such as an airplane, rockets, ships, trains, bearings, magistral gas- and oil-pipelines, all big scale metal constructions, constructions which have cylindric and spheric panels. The methodologies and approaches described in here will be useful for the precise solution of the problems of shock, thrust, and impact, and for the reliable simulation of dynamic contact processes. The approach provided to solving contact problems in the dynamic elastic-plastic formulation offers the reader the ability to design new composite reinforced and armed materials. As such, the book will be of interest to scientists, students, and engineers.
