Lecture Notes in Applied and Computational Mechanics

Computational Contact Mechanics

Geometrically Exact Theory for Arbitrary Shaped Bodies

Autoren: Konyukhov, Alexander, Schweizerhof, Karl

Vorschau
  • Fuses differential geometry into computational contact mechanics
  • Research monograph on computational contact mechanics formulated in a covariant form
  • Gives the necessary introductory treatment of differential geometry for curves and surfaces
  • Contains new analytical results for the verification of contact algorithms
  • Gives the reader a closed form algorithms for finite element implementations independently of the type of approximation  involved in the discretization process as well as for any isogeometric analysis
Weitere Vorteile

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eBook 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-31531-2
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 192,59 €
Preis für Deutschland (Brutto)
Softcover 159,99 €
Preis für Deutschland (Brutto)
Über dieses Buch

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.

Inhaltsverzeichnis (14 Kapitel)

Inhaltsverzeichnis (14 Kapitel)

Dieses Buch kaufen

eBook 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-31531-2
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 192,59 €
Preis für Deutschland (Brutto)
Softcover 159,99 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Computational Contact Mechanics
Buchuntertitel
Geometrically Exact Theory for Arbitrary Shaped Bodies
Autoren
Titel der Buchreihe
Lecture Notes in Applied and Computational Mechanics
Buchreihen Band
67
Copyright
2013
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-31531-2
DOI
10.1007/978-3-642-31531-2
Hardcover ISBN
978-3-642-31530-5
Softcover ISBN
978-3-642-44541-5
Buchreihen ISSN
1613-7736
Auflage
1
Seitenzahl
XXII, 446
Themen