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Nonsmooth Mechanics II

Variational Formulations using Quasidifferentiability
  • Vladimir F. Dem’yanov
  • Georgios E. Stavroulakis
  • Ludmila N. Polyakova
  • Panagiotis D. Panagiotopoulos
Chapter
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 10)

Abstract

In the present Chapter we derive model variational problems in mechanics by using the notion of the quasidifferential. The corresponding problems are systems of variational inequalities. The link with the hemivariational inequalities, in the sense of Panagiotopoulos, which are based on the generalized gradient operator of Clarke, is briefly discussed. For static problems the classical minimum propositions for the potential and the complementary energy are extended to analogous inf—stationarity propositions. For more details the reader is referred to [31], [33], [34], [35], [36], [41] [37], [38], [42], [44], [28], [26], [27], [23], [25], [2], [47], [48], [49], [16], [17], [9], [1], [46].

Keywords

Variational Inequality Variational Formulation Inequality Problem Duality Pairing Laminate Plate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Vladimir F. Dem’yanov
    • 1
  • Georgios E. Stavroulakis
    • 2
  • Ludmila N. Polyakova
    • 1
  • Panagiotis D. Panagiotopoulos
    • 3
    • 4
  1. 1.Department of MathematicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Lehr- und Forschungsgebiet für Mechanik; Lehrstuhl C für MathematikRWTHAachenGermany
  3. 3.Department of Civil EngineeringAristotle UniversityThessalonikiGreece
  4. 4.Faculty of Mathematics and PhysicsRWTHAachenGermany

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