03275nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118041000800153050000900161072001600170072002300186082001400209100003400223245011600257260003800373264003800411300003400449336002600483337002600509338003600535347002400571490006100595505049400656520098501150650001702135650003102152650002502183650001502208650001502223650001702238650005602255650005202311650006202363650004302425650005102468700003902519710003402558773002002592776003602612830006102648856004802709978-3-211-48243-8DE-He21320141014113505.0cr nn 008mamaa100715s2006 au | s |||| 0|eng d a97832114824387 a10.1007/978-3-211-48243-82doi aeng 4aQ342 7aUYQ2bicssc 7aCOM0040002bisacsh04a006.32231 aHaslinger, Jaroslav.eeditor.10aNonsmooth Mechanics of Solidsh[electronic resource] /cedited by Jaroslav Haslinger, Georgios E. Stavroulakis. 1aVienna :bSpringer Vienna,c2006. 1aVienna :bSpringer Vienna,c2006. aVII, 314 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aCISM International Centre for Mechanical Sciences ;v4850 aCollisions. Thermal effects. Collisions of deformable solids and collisions of solids and fluids -- An Introduction to Impacts -- Approximation of variational and hemivariational inequalities of elliptic type. Applications to contact problems with friction -- Semicoercive Hemivariational Inequalities, Regularization Methods, Applications on Mechanics -- Mathematical Programs with Equilibrium Constraints: Theory and Numerical Methods -- Applied Nonsmooth Mechanics of Deformable Bodies. aMechanics have played an important role in mathematics, from infinitesimal calculus, calculus of variations, partial differential equations and numerical methods (finite elements). Originally, mechanics treated smooth objects. Technological progress has evoked the necessity to model and solve more complicated problems, like unilateral contact and friction, plasticity, delamination and adhesion, advanced materials, etc. The new tools include convex analysis, differential calculus for convex functions, and subgradients of convex functions and extensions for nonconvex problems. Nonsmooth mechanics is a relatively complex field, and requires a good knowledge of mechanics and a good background in some parts of modern mathematics. The present volume of lecture notes follows a very successful advanced school, with the aim to cover as much as possible all these aspects. Therefore the contributions cover mechanical aspects as well as the mathematical and numerical treatment. 0aEngineering. 0aMathematical optimization. 0aOperations research. 0aMaterials. 0aVibration.14aEngineering.24aNumerical and Computational Methods in Engineering.24aContinuum Mechanics and Mechanics of Materials.24aCalculus of Variations and Optimal Control; Optimization.24aVibration, Dynamical Systems, Control.24aOperations Research, Mathematical Programming.1 aStavroulakis, Georgios E.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783211482414 0aCISM International Centre for Mechanical Sciences ;v48540uhttp://dx.doi.org/10.1007/978-3-211-48243-8