000 04149nam a22005295i 4500
001 978-3-642-31531-2
003 DE-He213
005 20200421112035.0
007 cr nn 008mamaa
008 120814s2013 gw | s |||| 0|eng d
020 _a9783642315312
_9978-3-642-31531-2
024 7 _a10.1007/978-3-642-31531-2
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aKonyukhov, Alexander.
_eauthor.
245 1 0 _aComputational Contact Mechanics
_h[electronic resource] :
_bGeometrically Exact Theory for Arbitrary Shaped Bodies /
_cby Alexander Konyukhov, Karl Schweizerhof.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXXII, 446 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v67
505 0 _aDifferential 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.
520 _aThis 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.
650 0 _aEngineering.
650 0 _aMechanics.
650 0 _aMechanics, Applied.
650 0 _aContinuum mechanics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aMechanics.
700 1 _aSchweizerhof, Karl.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642315305
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v67
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-31531-2
912 _aZDB-2-ENG
942 _cEBK
999 _c56335
_d56335