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Titlebook: Nonsmooth Mechanics of Solids; Jaroslav Haslinger,Georgios E. Stavroulakis Book 2006 CISM Udine 2006 Calculus of Variations.Extension.calc

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发表于 2025-3-21 16:42:37 | 显示全部楼层 |阅读模式
书目名称Nonsmooth Mechanics of Solids
编辑Jaroslav Haslinger,Georgios E. Stavroulakis
视频videohttp://file.papertrans.cn/668/667885/667885.mp4
丛书名称CISM International Centre for Mechanical Sciences
图书封面Titlebook: Nonsmooth Mechanics of Solids; Jaroslav Haslinger,Georgios E. Stavroulakis Book 2006 CISM Udine 2006 Calculus of Variations.Extension.calc
描述.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..
出版日期Book 2006
关键词Calculus of Variations; Extension; calculus; computational mechanics; differential equation; finite eleme
版次1
doihttps://doi.org/10.1007/978-3-211-48243-8
isbn_softcover978-3-211-48241-4
isbn_ebook978-3-211-48243-8Series ISSN 0254-1971 Series E-ISSN 2309-3706
issn_series 0254-1971
copyrightCISM Udine 2006
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Approximation of variational and hemivariational inequalities of elliptic type. Applications to conwith classical variational inequalities of the first and the second kind. Next we show how to approximate a class of inclusion problems called hemivariational inequalities with nonmonotone multivalued mappings. These results are then used for the approximation and the numerical realization of contact problems with different models of friction.
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An Introduction to Impacts,mics are reviewed for planar frictional collisions and formulated in terms of set-valued maps and linear complementarity. For the frictionless case, a geometric concept based on kinematic, kinetic and energetic compatibility is developed, which provides access to non-standard impact events as in New
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Approximation of variational and hemivariational inequalities of elliptic type. Applications to conwith classical variational inequalities of the first and the second kind. Next we show how to approximate a class of inclusion problems called hemivariational inequalities with nonmonotone multivalued mappings. These results are then used for the approximation and the numerical realization of contac
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Semicoercive Hemivariational Inequalities, Regularization Methods, Applications on Mechanics,. First, problems defined on vector-valued function spaces are considered under unilateral growth conditions imposed on nonlinear parts by making use of the Galerkin method. Second, a minimax method relying on Chang’s version of Mountain Pass Theorem for locally Lipschitz functionals (.) is applied
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Applied Nonsmooth Mechanics of Deformable Bodies,mputational mechanics, from the other side, are outlined. The arising problems are, in general, variational and hemivariational inequalities. A short discussion of suitable numerical algorithms for the approximation of their solution, in connection with finite element or boundary element techniques,
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