书目名称 | Computational Contact Mechanics |
副标题 | Geometrically Exact |
编辑 | Alexander Konyukhov,Karl Schweizerhof |
视频video | |
概述 | Fuses differential geometry into computational contact mechanics.Research monograph on computational contact mechanics formulated in a covariant form.Gives the necessary introductory treatment of diff |
丛书名称 | Lecture Notes in Applied and Computational Mechanics |
图书封面 |  |
描述 | .This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation |
出版日期 | Book 2013 |
关键词 | Closest Point Projection Procedure; Computational Contact Mechanics; Contact Mechanics; Covariant; Exist |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-31531-2 |
isbn_softcover | 978-3-642-44541-5 |
isbn_ebook | 978-3-642-31531-2Series ISSN 1613-7736 Series E-ISSN 1860-0816 |
issn_series | 1613-7736 |
copyright | Springer-Verlag Berlin Heidelberg 2013 |