Nonsmooth Mechanics and Analysis Theoretical and Numerical Advances [Paperback]

Convex and Nonsmooth Analysis.- Moreaus 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 Painlev? 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 Newtons 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 Ballast?es.- Scaling Behaviour of Velocity Fluctuations in Slow Granular Flows.- Topics in Nonsmooth Science.- Morphological Equations and Sweeping Processes.- Higher Order Moreaus 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.

This books 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 sucl0