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＜電子ブック＞
Nonsmooth Mechanics and Analysis : Theoretical and Numerical Advances / edited by Pierre Alart, Olivier Maisonneuve, R. Tyrrell Rockafellar
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 12)

版	1st ed. 2006.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XIV, 320 p : online resource
著者標目	Alart, Pierre editor Maisonneuve, Olivier editor Rockafellar, R. Tyrrell editor SpringerLink (Online service)
件　名	LCSH:Mechanical engineering LCSH:Mathematical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 FREE:Mechanical Engineering FREE:Analysis FREE:Computational Mathematics and Numerical Analysis
一般注記	Convex and Nonsmooth Analysis -- Moreau’s Proximal Mappings and Convexity in Hamilton-Jacobi Theory -- Three Optimization Problems in Mass Transportation Theory -- Some Geometrical and Algebraic Properties of Various Types of Convex Hulls -- A Note on the Legendre-Fenchel Transform of Convex Composite Functions -- What Is to be a Mean? -- Nonsmooth Mechanics -- Thermoelastic Contact with Frictional Heating -- A Condition for Statical Admissibility in Unilateral Structural Analysis -- Min-Max Duality and Shakedown Theorems in Plasticity -- Friction and Adhesion -- The Clausius-Duhem Inequality, an Interesting and Productive Inequality -- Unilateral Crack Identification -- Penalty Approximation of Painlevé Problem -- Discrete Contact Problems with Friction: A Stress-Based Approach -- Fluid Mechanics -- A Brief History of Drop Formation -- Semiclassical Approach of the “Tetrad Model” of Turbulence -- Multibody Dynamics: Numerical Aspects -- The Geometry Of Newton’s Cradle -- Using Nonsmooth Analysis for Numerical Simulation of Contact Mechanics -- Numerical Simulation of a Multibody Gas -- Granular Media and Ballasted Railway Tracks Milieux Granulaires Et Voies Ballastées -- Scaling Behaviour of Velocity Fluctuations in Slow Granular Flows -- Topics in Nonsmooth Science -- Morphological Equations and Sweeping Processes -- Higher Order Moreau’s Sweeping Process -- An Existence Result in Non-Smooth Dynamics -- Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction -- Canonical Duality in Nonsmooth, Constrained Concave Minimization This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics HTTP:URL=https://doi.org/10.1007/0-387-29195-4

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