Computational Contact Mechanics - Geometrically Exact Theory for Arbitrary Shaped Bodies (Hardcover, 2013 ed.)

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. The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Applied and Computational Mechanics, 67
Release date:	August 2012
First published:	2013
Authors:	Alexander Konyukhov • Karl Schweizerhof
Dimensions:	235 x 155 x 30mm (L x W x T)
Format:	Hardcover
Pages:	446
Edition:	2013 ed.
ISBN-13:	978-3-642-31530-5
Categories:	Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General Promotions
LSN:	3-642-31530-5
Barcode:	9783642315305

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