The Resource Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies, by Alexander Konyukhov, Karl Schweizerhof, (electronic resource)

Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies, by Alexander Konyukhov, Karl Schweizerhof, (electronic resource)

Label
Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies
Title
Computational Contact Mechanics
Title remainder
Geometrically Exact Theory for Arbitrary Shaped Bodies
Statement of responsibility
by Alexander Konyukhov, Karl Schweizerhof
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Konyukhov, Alexander
Image bit depth
0
LC call number
  • TA405-409.3
  • QA808.2
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Schweizerhof, Karl.
  • SpringerLink
Series statement
Lecture Notes in Applied and Computational Mechanics,
Series volume
67
http://library.link/vocab/subjectName
  • Engineering
  • Mechanics
  • Mechanics, applied
  • Materials
  • Engineering
  • Continuum Mechanics and Mechanics of Materials
  • Theoretical and Applied Mechanics
  • Mechanics
Label
Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies, by Alexander Konyukhov, Karl Schweizerhof, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XXII, 446 p. 280 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642315312
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-31531-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-31531-2
Label
Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies, by Alexander Konyukhov, Karl Schweizerhof, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XXII, 446 p. 280 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642315312
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-31531-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-31531-2

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