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Complementarity, Duality and Symmetry in Nonlinear Mechanics : Proceedings of the IUTAM Symposium - Gao David Yang

Complementarity, Duality and Symmetry in Nonlinear Mechanics

Proceedings of the IUTAM Symposium

By: Gao David Yang (Editor)

Hardcover

Published: 1st June 2004
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Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science.
The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age.
Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and post-doctoral level) at universities and in industry.

List of Figures
Preface
References
Mechanics and Materials: Research and Challenges in the Twenty-First Century
Non-Convex Duality
Duality, Complementarity, and Polarity in Nonsmooth Nonconvex Dynamics
Tri-Duality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects
Mathematical Modeling of the Three-Dimensional Delamination Processes of Laminated Composites
Newton's and Poisson's Impact Law for the Non-Convex Case of Re-Entrant Corners
Duality in Kinematic Approaches of Limit and Shakedown Analysis of Structures
Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading
Duality for Entropy Optimization and Its Applications
Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing Lubrication
Finite Dimensional Frictional Contact Quasi-Static Rate and Evolution Problems Revisited
Minimax Theory, Duality and Applications
Min-Max Duality and Shakedown Theorems in Hardening Plasticity
A Fluid Problem with Navier-Slip Boundary Conditions
An Extension of Limit Analysis Theorems to Incompressible Material with a Non-Associated Flow Rule
Periodic Soliton Resonances
Generalized Legendre-Fenchel Transformation
A Robust Variational Formulation for a Rod Subject to Inequality Constraints
Computing FEM Solutions of Plasticity Problems via NonLinear Mixed Variational Inequalities
Finite Element Dual Analysis in Piezoelectric Crack Estimation
Duality and Complementarity in Constrained Mechanical Systems
Mixed Energy Method for Solution of Quadratic Programming Problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781402078873
ISBN-10: 1402078870
Series: Advances in Mechanics and Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 389
Published: 1st June 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 0.88