Computational contact mechanics : geometrically exact theory for arbitrary shaped bodies
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...
Sparad:
| Huvudupphovsmän: | , |
|---|---|
| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture Notes in Applied and Computational Mechanics
67 |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computational Contact Mechanics, Geometrically Exact Theory for Arbitrary Shaped Bodies, Alexander Konyukohv and Karl Schweizerhof, Berlin, Springer Berlin, 2013, 1 vol. (XXII-443 p.), Lecture Notes in Applied and Computational Mechanics, 978-3-642-44541-5 |
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| 100 | 1 | |a Konyukhov, Alexander. | |
| 245 | 1 | 0 | |a Computational contact mechanics : |b geometrically exact theory for arbitrary shaped bodies |c by Alexander Konyukhov, Karl Schweizerhof. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Applied and Computational Mechanics |v 67 |x 1613-7736 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Differential Geometry of Surfaces and Curves Closest Point Projection Procedure and Corresponding Curvilinear Coordinate System Geometry and Kinematics of Contact Weak Formulation of Contact Conditions Contact Constraints and Constitutive Equations for Contact Tractions Linearization of the Weak Forms Tangent Matrices in a Covariant Form Surface-To-Surface Contact Various Aspects for Implementations Special Case of Implementation Reduction into 2D Case Implementation of Contact Algorithms with High Order FE Anisotropic Adhesion-Friction Models Implementation Experimental Validations of the Coupled Anistropi Various Aspects of Implementation of the Curve-To-Curve Contact Model 3D-Generalization of the Euler-Eytelwein Formula Considering Pitch | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | ||
| 700 | 1 | |a Schweizerhof, Karl. |4 aut | |
| 776 | 0 | |0 18242118X |t Computational Contact Mechanics |o Geometrically Exact Theory for Arbitrary Shaped Bodies |f Alexander Konyukohv and Karl Schweizerhof |c Berlin |n Springer Berlin |d 2013 |p 1 vol. (XXII-443 p.) |s Lecture Notes in Applied and Computational Mechanics |z 978-3-642-44541-5 | |
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