000			04359nam a22004575i 4500
001			978-0-387-29195-6
003			DE-He213
005			20250710083944.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387291956 _a99780387291956
024	7		_a10.1007/0-387-29195-4 _2doi
082	0	4	_a515 _223
100	1		_aAlart, P. _eeditor.
245	1	0	_aNonsmooth Mechanics and Analysis _h[recurso electrónico] : _bTheoretical and Numerical Advances / _cedited by P. Alart, O. Maisonneuve, R. T. Rockafellar.
264		1	_aBoston, MA : _bSpringer US, _c2006.
300			_aXIV, 320 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAdvances in Mechanics and Mathematics ; _v12
505	0		_aConvex 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.
520			_aThis 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.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aCOMPUTER SCIENCE _xMATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aANALYSIS.
650	2	4	_aCOMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS.
700	1		_aMaisonneuve, O. _eeditor.
700	1		_aRockafellar, R. T. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387291963
830		0	_aAdvances in Mechanics and Mathematics ; _v12
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-29195-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56925 _d56925