The Resource Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar
Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar
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The item Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource (xiv, 320 pages)
 Contents

 Convex and Nonsmooth Analysis
 Moreau's Proximal Mappings and Convexity in HamiltonJacobi Theory
 Three Optimization Problems in Mass Transportation Theory
 Some Geometrical and Algebraic Properties of Various Types of Convex Hulls
 A Note on the LegendreFenchel 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
 MinMax Duality and Shakedown Theorems in Plasticity
 Friction and Adhesion
 The ClausiusDuhem Inequality, an Interesting and Productive Inequality
 Unilateral Crack Identification
 Penalty Approximation of Painlevé Problem
 Discrete Contact Problems with Friction: A StressBased 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 NonSmooth Dynamics
 Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction
 Canonical Duality in Nonsmooth, Constrained Concave Minimization
 Isbn
 9780387291956
 Label
 Nonsmooth mechanics and analysis : theoretical and numerical advances
 Title
 Nonsmooth mechanics and analysis
 Title remainder
 theoretical and numerical advances
 Statement of responsibility
 edited by P. Alart, O. Maisonneuve, R.T. Rockafellar
 Subject

 Conference papers and proceedings
 Conference papers and proceedings
 Mechanics, Analytic
 Mechanics, Analytic
 Mechanics, Analytic
 Mechanics, Analytic  Congresses
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923  Congresses
 Nonsmooth optimization
 Nonsmooth optimization
 Nonsmooth optimization
 Nonsmooth optimization  Congresses
 SCIENCE  Mechanics  General
 SCIENCE  Mechanics  Solids
 Language
 eng
 Summary
 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
 Cataloging source
 GW5XE
 Dewey number
 531
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA801
 LC item number
 .N66 2006eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1935
 http://library.link/vocab/relatedWorkOrContributorName

 Alart, P
 Maisonneuve, O
 Rockafellar, R. Tyrrell
 Series statement
 Advances in mechanics and mathematics
 Series volume
 v. 12
 http://library.link/vocab/subjectName

 Moreau, Jean Jacques
 Mechanics, Analytic
 Nonsmooth optimization
 Moreau, Jean Jacques
 Moreau, Jean Jacques
 SCIENCE
 SCIENCE
 Mechanics, Analytic
 Nonsmooth optimization
 Mechanics, Analytic
 Nonsmooth optimization
 Label
 Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Convex and Nonsmooth Analysis  Moreau's Proximal Mappings and Convexity in HamiltonJacobi Theory  Three Optimization Problems in Mass Transportation Theory  Some Geometrical and Algebraic Properties of Various Types of Convex Hulls  A Note on the LegendreFenchel 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  MinMax Duality and Shakedown Theorems in Plasticity  Friction and Adhesion  The ClausiusDuhem Inequality, an Interesting and Productive Inequality  Unilateral Crack Identification  Penalty Approximation of Painlevé Problem  Discrete Contact Problems with Friction: A StressBased 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 NonSmooth Dynamics  Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction  Canonical Duality in Nonsmooth, Constrained Concave Minimization
 Control code
 209915285
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 320 pages)
 Form of item
 online
 Isbn
 9780387291956
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/0387291954.
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387291963
 Specific material designation
 remote
 System control number
 (OCoLC)209915285
 Label
 Nonsmooth mechanics and analysis : theoretical and numerical advances, edited by P. Alart, O. Maisonneuve, R.T. Rockafellar
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Convex and Nonsmooth Analysis  Moreau's Proximal Mappings and Convexity in HamiltonJacobi Theory  Three Optimization Problems in Mass Transportation Theory  Some Geometrical and Algebraic Properties of Various Types of Convex Hulls  A Note on the LegendreFenchel 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  MinMax Duality and Shakedown Theorems in Plasticity  Friction and Adhesion  The ClausiusDuhem Inequality, an Interesting and Productive Inequality  Unilateral Crack Identification  Penalty Approximation of Painlevé Problem  Discrete Contact Problems with Friction: A StressBased 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 NonSmooth Dynamics  Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction  Canonical Duality in Nonsmooth, Constrained Concave Minimization
 Control code
 209915285
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 320 pages)
 Form of item
 online
 Isbn
 9780387291956
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/0387291954.
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387291963
 Specific material designation
 remote
 System control number
 (OCoLC)209915285
Subject
 Conference papers and proceedings
 Conference papers and proceedings
 Mechanics, Analytic
 Mechanics, Analytic
 Mechanics, Analytic
 Mechanics, Analytic  Congresses
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923
 Moreau, Jean Jacques, 1923  Congresses
 Nonsmooth optimization
 Nonsmooth optimization
 Nonsmooth optimization
 Nonsmooth optimization  Congresses
 SCIENCE  Mechanics  General
 SCIENCE  Mechanics  Solids
Genre
Member of
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