Computational Contact Mechanics: Geometrically Exact Theory For Arbitrary Shaped Bodies at Meripustak

Computational Contact Mechanics: Geometrically Exact Theory For Arbitrary Shaped Bodies

Books from same Author: KONYUKHOY

Books from same Publisher: SPRINGER

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  • General Information  
    Author(s)KONYUKHOY
    PublisherSPRINGER
    ISBN9783642315305
    Pages446
    BindingHardbound
    LanguageEnglish
    Publish YearAugust 2012

    Description

    SPRINGER Computational Contact Mechanics: Geometrically Exact Theory For Arbitrary Shaped Bodies by KONYUKHOY

    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.