Adaptive finite elements for elastic bodies in contact

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  • Christian-Albrechts-Universität zu Kiel (CAU)
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OriginalspracheEnglisch
Seiten (von - bis)1605-1626
Seitenumfang22
FachzeitschriftSIAM Journal of Scientific Computing
Jahrgang20
Ausgabenummer5
PublikationsstatusVeröffentlicht - 1999

Abstract

To avoid interpenetration of matter under the small strain assumption, the linear contact condition is frequently applied where the distance of bodies is controlled only along a certain direction. The standard direction is the normal on the surface where interpenetration might occur. In this paper we allow other directions as well. We address questions such as the correct mathematical model, existence of solutions, the penalty method for regularization of the variational inequality, finite element discretization, and a priori and a posteriori error estimates, but exclude the error of penalization. The computable upper error bound leads to a criterion for automatic mesh-refinements within a finite element method. Numerical simulations of the Hertzian contact problem and a supported cantilever beam are included.

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Adaptive finite elements for elastic bodies in contact. / Carstensen, C.; Scherf, O.; Wriggers, Peter.
in: SIAM Journal of Scientific Computing, Jahrgang 20, Nr. 5, 1999, S. 1605-1626.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Carstensen C, Scherf O, Wriggers P. Adaptive finite elements for elastic bodies in contact. SIAM Journal of Scientific Computing. 1999;20(5):1605-1626. doi: 10.1137/S1064827595295350
Carstensen, C. ; Scherf, O. ; Wriggers, Peter. / Adaptive finite elements for elastic bodies in contact. in: SIAM Journal of Scientific Computing. 1999 ; Jahrgang 20, Nr. 5. S. 1605-1626.
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