T H I S BOOK is a rewritten and expanded edition of a book published in Romanian in 1958. The overall objective of this book is the presentation of solutions and methods of solution for boundary value problems in djmamic plasticity. To this end, a wide variety of problems are considered, for a fairly wide variety of types of assumed material behavior. The problem areas considered include: longitudinal plastic wave propagation (rate independent and rate dependent), the mechanics of extensible strings, the mechanics of circular membranes, axisymmetric problems, plane waves, shock waves in solids, and plastic waves in soils. The appendix contains a presentation of various differential constitutive equations which are used in dynamic plasticity. There is also an extensive bibliography. The solutions are generally obtained by the method of characteristics or by the numerical solution of difference equations obtained from incremental relations along characteristics. The numerical solutions would be of greater interest if experimental data were available for the conditions that the theoretical models are intended to simulate; however, these solutions do serve to illustrate the essential features of the theoretical predictions. The book should be of considerable interest to researchers and engineers interested in the dynamic plastic deformation of metals.