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Nonsmooth Mechanics of Solids

Nonsmooth Mechanics of Solids

Paperback

Series: CISM International Centre for Mechanical Sciences, Book 485

Business GeneralTechnology & EngineeringGeneral Mathematics

ISBN10: 3211482415
ISBN13: 9783211482414
Publisher: Springer Nature
Published: Nov 21 2006
Pages: 314
Weight: 1.20
Height: 0.80 Width: 6.60 Depth: 9.30
Language: English

Mechanics 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.

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