Bibliographic Details
| 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] |
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| Database: |
Engineering Source |