Coverart for item
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

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
Contributor
Subject
Genre
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
Member of
Is part of
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
Instantiates
Publication
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 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
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
10.1007/0-387-29195-4.
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-29196-3
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
Publication
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 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
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
10.1007/0-387-29195-4.
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-29196-3
Specific material designation
remote
System control number
(OCoLC)209915285

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