Variational and Quasi-Variational Inequalities in Mechanics (Solid Mechanics and Its Applications)
Variational and Quasi-Variational Inequalities in Mechanics (Solid Mechanics and Its Applications)
By Alexander S. Kravchuk, Pekka J. Neittaanmäki
Publisher: Springer
Number Of Pages: 352
Publication Date: 2007-09
Sales Rank: 3403197
ISBN / ASIN: 1402063768
EAN: 9781402063763
Binding: Hardcover
Manufacturer: Springer
Studio: Springer
The essential aim of the present book is to consider a wide set of problems arising in the mathematical modelling 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 the transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.
Important new results concern contact problems with friction. The Coulomb friction law and some others are considered, in which relative sliding velocities appear. The corresponding quasi-variational inequality is constructed, as well as the appropriate iterative method for its solution. Outlines of the variational approach to non-stationary and dissipative systems and to the construction of the governing equations are also given.
Examples of analytical and numerical solutions are presented. Numerical solutions were obtained with the finite element and boundary element methods, including new 3D problems solutions.pass: gigapedia.org
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