Elastoplasticity theory (Q2756694)

The title of the book does not indicate that it is entirely dedicated to the finite theory of elasticity and plasticity, i. e. the geometrically nonlinear theory appropriate for the description of large deformations. There are many books in the field of elastoplasticity, but only very few treat finite deformations. And the reason for that becomes clear when reading this interesting monograph. This topic is still far from being standard textbook material. We do not see a general theory of finite plasticity on a both mathematically and physically sound basis. Therefore it is quite important that such books are written, and are received in a critical way.NEWLINENEWLINENEWLINEThe book basically consists of two parts, one dedicated to finite elasticity, and the second, much more complicated one, dealing with finite elastoplasticity. In elasticity an introduction is given, but also rate-forms are derived, inequalities are considered, localisation, stability, and uniqueness are included. In that, Lubarda already goes beyond the usual books in the field. This statement holds even more if related to the plasticity parts. We learn about normality, Ilyushin's postulate, about porous media, Gurson's model, viscoplasticity, stability, thermoplasticity, rate-forms, crystal plasticity, and, most up-to-date, about micro-macro transition and polycrystals.NEWLINENEWLINENEWLINEThe book is written in a clear and accurate form. But it is not an axiomatic approach, but rather a collection of different suggestions from the literature and lot of original work. A list of notations would have been helpful, although a clear direct notation is used. In some parts the book is lengthy and redundant. Thus some compression of the material would have been advantageous. The book is surely not appropriate for beginners in the field. But it is a rich source for those who are doing research on finite elasticity or plasticity. And because of the rapid development of these items, the book will need an up-dating when the next edition becomes necessary. And the reviewer is convinced that this will be the case pretty soon.