Computational contact mechanics [electronic resource] : geometrically exact theory for arbitrary shaped bodies / Alexander Konyukhov and Karl Schweizerhof.
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 Ga...
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Format: | Electronic eBook |
Language: | English |
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Berlin ; New York :
Springer,
©2013.
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Series: | Lecture notes in applied and computational mechanics ;
67. |
Subjects: |
MARC
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100 | 1 | |a Konyukhov, Alexander. |0 http://id.loc.gov/authorities/names/nb2012022760. | |
245 | 1 | 0 | |a Computational contact mechanics |h [electronic resource] : |b geometrically exact theory for arbitrary shaped bodies / |c Alexander Konyukhov and Karl Schweizerhof. |
260 | |a Berlin ; |a New York : |b Springer, |c ©2013. | ||
300 | |a 1 online resource. | ||
336 | |a text |b txt |2 rdacontent. | ||
337 | |a computer |b c |2 rdamedia. | ||
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347 | |a text file. | ||
347 | |b PDF. | ||
490 | 1 | |a Lecture notes in applied and computational mechanics, |x 1613-7736 ; |v 67. | |
505 | 0 | 0 | |t Introduction -- |t Differential Geometry of Surfaces and Curves -- |t Closest Point Projection Procedure and Corresponding Curvilinear Coordinate System -- |t Geometry and Kinematics of Contact -- |t Weak Formulation of Contact Conditions -- |t Contact Constraints and Constitutive Equations for Contact Tractions -- |t Linearization of the Weak Forms -- Tangent Matrices in a Covariant Form -- |t Surface-To-Surface Contact -- Various Aspects for Implementations within the Finite Element Method -- |t Special Case of Implementation -- Reduction into 2D Case -- |t Implementation of Contact Algorithms with High Order FE -- |t Anisotropic Adhesion-Friction Models -- Some Particular Details of Implementation and Numerical Examples -- |t Experimental Validations of the Coupled Anistropic Adhesion-Friction Model -- |t Various Aspects of Implementation of the Curve-To-Curve Contact Model -- |t Frictional Interaction of a Spiral Rope and a Cylinder -- 3D-Generalization of the Euler-Eytelwein Formula Considering Pitch. |
504 | |a Includes bibliographical references and index. | ||
520 | |a 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. | ||
546 | |a English. | ||
650 | 0 | |a Contact mechanics. |0 http://id.loc.gov/authorities/subjects/sh94001335. | |
650 | 7 | |a Contact mechanics. |2 fast |0 (OCoLC)fst00876505. | |
700 | 1 | |a Schweizerhof, Karl. |0 http://id.loc.gov/authorities/names/nb2012022767. | |
776 | 0 | 8 | |i Printed edition: |z 9783642315305. |
830 | 0 | |a Lecture notes in applied and computational mechanics ; |v 67. |0 http://id.loc.gov/authorities/names/n2003002941. | |
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