Variational and Quasi-Variational Inequalities in Mechanics
Author | : Alexander S. Kravchuk |
Publisher | : Springer Science & Business Media |
Total Pages | : 337 |
Release | : 2007-09-04 |
ISBN-10 | : 9781402063770 |
ISBN-13 | : 1402063776 |
Rating | : 4/5 (776 Downloads) |
Download or read book Variational and Quasi-Variational Inequalities in Mechanics written by Alexander S. Kravchuk and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.