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Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances

Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances - Paperback

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Product Details
Author:
Pierre Alart
Publisher:
Springer
Publication Date:
Nov 23, 2010
Number of pages:
320 pages
Binding:
Paperback or Softback
ISBN-10:
1441939768
ISBN-13:
9781441939760

Overview

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.


  • | Author: Pierre Alart
  • | Publisher: Springer
  • | Publication Date: Nov 23, 2010
  • | Number of Pages: 320 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 1441939768
  • | ISBN-13: 9781441939760

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