|In the end of December I finished the work on my book devoted to computational contact mechanics. I consider this book as a guide to this not simple domain of the computational mechanics, so I would recommend it to everybody who starts to study the subject. I tried to introduce precisely and fully all the notions and notations; also I tried to put all needed information, algorithms and describe all the methods that are required to implement the contact in your finite element codes. To facilitate the reading, all mathematical developments concerning both kinematics/geometry and resolution steps are given in their integrity. Also I considered and standardized many examples, on which you can validate your implementations. Personally, I would be happy to have such a book in the beginning of my way in the computational contact, it would facilitate the comprehension and accelerate my first steps.|
Besides the contact mechanics, the book contains a detailed introduction to tensor and vector analysis (56 pages). Where I expose all the concepts of the "direct tensor language" following a very nice course given by professor Pavel A. Zhilin at Saint-Petersburg State Polytechnical University. Also I introduced a new concept (s-structures or stensor) which generalizes tensors for objects combining different dimensions, for instance, surfaces or curves in a three-dimensional space.
P.S. The book features 120 figures and a foreword by Peter Wriggers.
"Numerical Methods in Contact Mechanics" by Vladislav A. Yastrebov was recently published by ISTE/Wiley in Numerical Methods in Engineering series. On more than 400 pages it covers a wide range of topics related to numerical treatment of contact problems in mechanics. Many examples and more than 150 figures make the reading easy and accessible.
The publication of a new book is associated with rapid developments in the domain of computational contact mechanics. So it attracts new people - the major readership of this book - graduate and undergraduate students in mechanical engineering, and researchers working on the development of commercial and in-house finite-element software treating contact problems.
The book covers all basic ingredients of contact and computational contact mechanics: from efficient contact detection algorithms and classical optimization methods to new developments in contact kinematics and resolution schemes both for sequential and parallel computers. The book combines extended introductory parts with new developments, so it is accessible for freshmen in this domain and is of interest for established researchers.
The book consists of three major parts dedicated to three basic blocks of the numerical treatment of contact: kinematics, detection and resolution with 2:1:2 page proportion. In the first part using a new generalized tensor algebra, the author introduces original notions in contact kinematics and extends the classical formulation of contact elements. He also discusses rigorous definition of the closest elements, gap functions, and introduces a shadow projection technique. The latter allows him to overcome some inherent difficulties of classical projections and to construct a reliable resolution algorithm. In the second part the author discusses robust and efficient contact detection algorithms both for sequential and parallel computer architectures. The final part exposes classical and new resolution methods for contact problems and gives associated ready-to-implement expressions. All chapters feature many examples, figures and schemes. To simplify the reading, in appendix the author gives an extended introduction to tensor algebra that is extensively used through all parts of the book.
Vladislav A. Yastrebov is a young researcher at Centre des Matériaux, MINES ParisTech, CNRS UMR 7633, whose work in computational contact mechanics was recognized by several awards: Prix Paul Caseau of the French Academy of Technology and Electricité de France and the award of the French Computational Structural Mechanics Association (CSMA).
Recently I started to use an on-line tool Citeulike to manage my references. What I find particularly good in this tool is that you can keep online all the references you may need, so they are easily accessible from everywhere all you need is an internet spot. Another important point is that you can create groups and share articles with members of a group, it is a good way to collaborate remotely. All references and groups may be private or open access.Download a short presentation on Citeulike [pdf] 3 Mb, which I've reported on the group meeting.