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AuthorGao, David Y. author
TitleComplementarity, Duality and Symmetry in Nonlinear Mechanics [electronic resource] : Proceedings of the IUTAM Symposium / by David Y. Gao
ImprintDordrecht : Springer Netherlands : Imprint: Springer, 2004
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Descript LVII, 389 p. online resource


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


1 Mechanics and Materials: Research and Challenges in the Twenty-First Century -- 2 Non-Convex Duality -- 3 Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics -- 4 Tri-Duality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects -- 5 Mathematical Modeling of the Three-Dimensional Delamination Processes of Laminated Composites -- 6 Newtonโ{128}{153}s and Poissonโ{128}{153}s Impact Law for the Non-Convex Case of Re-Entrant Corners -- 7 Duality in Kinematic Approaches of Limit and Shakedown Analysis of Structures -- 8 Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading -- 9 Duality for Entropy Optimization and Its Applications -- 10 Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing Lubrication -- 11 Finite Dimensional Frictional Contact Quasi-Static Rate and Evolution Problems Revisited -- 12 Minimax Theory, Duality and Applications -- 13 Min-Max Duality and Shakedown Theorems in Hardening Plasticity -- 14 A Fluid Problem with Navier-Slip Boundary Conditions -- 15 An Extension of Limit Analysis Theorems to Incompressible Material with a Non-Associated Flow Rule -- 16 Periodic Soliton Resonances -- 17 Generalized Legendre-Fenchel Transformation -- 18 A Robust Variational Formulation for a Rod Subject to Inequality Constraints -- 19 Computing FEM Solutions of Plasticity Problems via Nonlinear Mixed Variational Inequalities -- 20 Finite Element Dual Analysis in Piezoelectric Crack Estimation -- 21 Duality and Complementarity in Constrained Mechanical Systems -- 22 Mixed Energy Method for Solution of Quadratic Programming Problems

Engineering Mathematics Partial differential equations Applied mathematics Engineering mathematics Mechanics Continuum mechanics Buildings -- Design and construction Building Construction Engineering Architectural Engineering Building Construction Mechanics Mathematics general Applications of Mathematics Continuum Mechanics and Mechanics of Materials Partial Differential Equations


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