Nonsmooth Mechanics and Analysis Theoretical and Numerical Advances /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alart, P. (Editor), Maisonneuve, O. (Editor), Rockafellar, R. T. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2006.
• Series: Advances in Mechanics and Mathematics ; 12
• Subjects: Engineering.; Mathematical analysis.; Analysis (Mathematics).; Computer mathematics.; Mechanical engineering.; Mechanical Engineering.; Analysis.; Computational Mathematics and Numerical Analysis.

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 cont...

Table of 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.