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Inequality problems in mechanics and applications : convex and nonconvex energy functions

Author: P D Panagiotopoulos
Publisher: Boston : Birkhäuser, 1985.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In a remarkably short time, the field of inequality problems has seen considerable development in mathematics and theoretical mechanics. Applied mechanics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Panagiotopoulos, P.D., 1950-
Inequality problems in mechanics and applications.
Boston : Birkhäuser, 1985
(DLC) 82009519
(OCoLC)8493436
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: P D Panagiotopoulos
ISBN: 9781461251521 1461251524
OCLC Number: 564464868
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xvii, 412 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1. Introductory Topics --
1. Essential Notions and Propositions of Functional Analysis --
2. Elements of Convex Analysis --
2. Inequality Problems --
3. Variational Inequalities and Superpotentials --
4. Variational Inequalities and Multivalued Convex and Nonconvex Problems in Mechanics --
5. Friction Problems in the Theory of Elasticity --
6. Subdifferential Constitutive Laws and Boundary Conditions --
7. Inequality Problems in the Theory of Thin Elastic Plates --
8. Variational and Hemivariational Inequalities in Linear Thermoelasticity --
9. Variational Inequalities in the Theory of Plasticity and Viscoplasticity --
3. Numerical Applications --
10. The Numerical Treatment of Static Inequality Problems --
11. Incremental and Dynamic Inequality Problems --
Epilogue --
Appendices --
Appendix I. Some Basic Notions [20] [112] [321] [322] --
Appendix II. Rigidifying Velocity Fields. Objectivity [112] [197] [322] --
Appendix III. Dissipation [112]. --
Appendix IV. Plasticity and Thermodynamics [75] [196] --
List of Notations --
References.
Responsibility: P.D. Panagiotopoulos.

Abstract:

This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a variety of audiences in the Technical University of Aachen, the Aristotle University of  Read more...

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