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Variational and Quasi-Variational Inequalities in Mechanics

Publication Date: 2007

ISBN: 978-1-4020-6377-0

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The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the variational approach for the solution of problems rel- ing to the determination of the real state of systems or processes consists in thecomparisonofclosestates.Theselectioncriteriafortheactualstatesmust be such that all the equations and conditions of the mathematical model are satis?ed. Historically, the ?rst variational theory was the Lagrange theory created to investigate the equilibrium of ?nite-dimensional mechanical systems under holonomic bilateral constraints (bonds). The selection criterion proposed by Lagrange is the admissible displacement principle.


Subject: Engineering, 3D, Transformation, construction, development, mathematical modeling, mechanics, modeling, modelling, operator, optimization, quality, thermodynamics