Details

Nonsmooth Mechanics and Analysis


Nonsmooth Mechanics and Analysis

Theoretical and Numerical Advances
Advances in Mechanics and Mathematics, Band 12

von: Pierre Alart, Olivier Maisonneuve, R. Tyrrell Rockafellar

213,99 €

Verlag: Springer
Format: PDF
Veröffentl.: 26.06.2006
ISBN/EAN: 9780387291956
Sprache: englisch
Anzahl Seiten: 320

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

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.
<P>This book’s title, <EM>Nonsmooth Mechanics and Analysis</EM>, 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. </P>
<P>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. </P>
<P>&nbsp;</P>
<P><EM>Audience</EM></P>
<P>This book is intended for researchers in mathematics and mechanics.</P>
Illustrates links between developments in nonsmooth analysis and nonsmooth mechanics Includes supplementary material: sn.pub/extras

Diese Produkte könnten Sie auch interessieren:

Mixed-flow Pumps
Mixed-flow Pumps
von: Wei Li, Leilei Ji, Ramesh Agarwal, Weidong Shi, Ling Zhou
PDF ebook
115,99 €
Mixed-flow Pumps
Mixed-flow Pumps
von: Wei Li, Leilei Ji, Ramesh Agarwal, Weidong Shi, Ling Zhou
EPUB ebook
115,99 €
Grundlagen der Handhabungstechnik
Grundlagen der Handhabungstechnik
von: Stefan Hesse, Viktorio Malisa
PDF ebook
49,99 €