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Covariant description for frictional contact problems.

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Title: Covariant description for frictional contact problems.
Authors: Schweizerhof, K.1 Karl.Schweizerhof@bau-verm.uni-karlsruhe.de, Konyukhov, A.1 Konyukhov@ifm.uni-karlsruhe.de
Source: Computational Mechanics. Mar2005, Vol. 35 Issue 3, p190-213. 24p.
Subjects: Geometry problems & exercises, Symmetric matrices, Kinematics, Euclid's elements, Curves, Differential equations
Abstract: A fully covariant description, based on the consideration of contact from the surface geometry point of view, is used for a consistent formulation of frictional contact conditions. All necessary operations for the description of the contact problems: kinematics, all differential operations etc. are defined in the covariant form in the local coordinate system which corresponds to the closest point procedure. The main advantage is a geometrical structure of the full tangent matrix, which is is subdivided into main, rotational and curvature parts. The consistent linearization of the penalty regularized contact integral leads to a symmetrical tangent matrix in the case of sticking. Representative examples show the effectiveness of the approach for problems where the definition of sticking-sliding zones is necessary as well as for the case of fully developed sliding zones. [ABSTRACT FROM AUTHOR]
Copyright of Computational Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A fully covariant description, based on the consideration of contact from the surface geometry point of view, is used for a consistent formulation of frictional contact conditions. All necessary operations for the description of the contact problems: kinematics, all differential operations etc. are defined in the covariant form in the local coordinate system which corresponds to the closest point procedure. The main advantage is a geometrical structure of the full tangent matrix, which is is subdivided into main, rotational and curvature parts. The consistent linearization of the penalty regularized contact integral leads to a symmetrical tangent matrix in the case of sticking. Representative examples show the effectiveness of the approach for problems where the definition of sticking-sliding zones is necessary as well as for the case of fully developed sliding zones. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computational Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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