Complementarity, Duality and Symmetry in Nonlinear Mechanics (Advances in Mechanics and Mathematics, Volume 6): Proceedings of the IUTAM Symposium
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...
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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.
1Mechanics and materials : research and challenges in the twenty-first century12Non-convex duality133Duality, complementarity, and polarity in nonsmooth/nonconvex dynamics214Tri-duality theory in phase transformations of ferroelectric crystals with random defects675Mathematical modeling of the three-dimensional delamination processes of laminated composites856Newton's and Poisson's impact law for the non-convex case of re-entrant corners1017Duality in kinematic approaches of limit and shakedown analysis of structures1278Bifurcation analysis of shallow spherical shells with meridionally nonuniform loading1499Duality for entropy optimization and its applications16710Dual variational principles for the free-boundary problem of cavitated bearing lubrication17911Finite dimensional frictional contact quasi-static rate and evolution problems revisited19112Minimax theory, duality and applications20913Min-max duality and shakedown theorems in hardening plasticity22514A fluid problem with Navier-slip boundary conditions24115An extension of limit analysis theorems to incompressible material with a non-associated flow rule25516Periodic soliton resonances27717Generalized Legendre-Fenchel transformation28918A robust variational formulation for a rod subject to inequality constraints31319Computing FEM solutions of plasticity problems via nonlinear mixed variational inequalities32720Finite element dual analysis in piezoelectric crack estimation33921Duality and complementarity in constrained mechanical systems35522Mixed energy method for solution of quadratic programming problems375
