Adaptive methods for contact problems

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Details

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing AG
Pages321-363
Number of pages43
Publication statusPublished - 2005

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume416
ISSN (Print)0254-1971
ISSN (electronic)2309-3706

Abstract

This contribution is concerned with the adaptive finite-element-formulation of contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given. Next the basic finite element formulation for large deformation contact processes is presented for two-dimensional problems. The development of the discretization of contact contributions follows. Here standard approaches are discussed for the case of frictional and frictionless contact. Finally different adaptive strategies involving as well residual based error estimators as error indicators based on superconvergence patch recovery are derived and formulated to include the contributions due to contact. Also error estimators based on dual principles are discussed. Examples show the performance of the different formulations and adaptive strategies.

Keywords

    Adaptive method, Contact interface, Contact problem, Error estimator, Posteriori error

ASJC Scopus subject areas

Cite this

Adaptive methods for contact problems. / Wriggers, Peter.
CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2005. p. 321-363 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 416).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Wriggers, P 2005, Adaptive methods for contact problems. in CISM International Centre for Mechanical Sciences, Courses and Lectures. CISM International Centre for Mechanical Sciences, Courses and Lectures, vol. 416, Springer International Publishing AG, pp. 321-363. https://doi.org/10.1007/3-211-38060-4_6
Wriggers, P. (2005). Adaptive methods for contact problems. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 321-363). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 416). Springer International Publishing AG. https://doi.org/10.1007/3-211-38060-4_6
Wriggers P. Adaptive methods for contact problems. In CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG. 2005. p. 321-363. (CISM International Centre for Mechanical Sciences, Courses and Lectures). doi: 10.1007/3-211-38060-4_6
Wriggers, Peter. / Adaptive methods for contact problems. CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2005. pp. 321-363 (CISM International Centre for Mechanical Sciences, Courses and Lectures).
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