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Formulation and comparison of algorithms for frictional contact problems
Department of Mechanical Engineering, Linköping University, Linköping, Sweden.
Department of Mechanical Engineering, Linköping University, Linköping, Sweden.
Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD, USA.
Department of Mechanical Engineering, Linköping University, Linköping, Sweden.ORCID iD: 0000-0001-6821-5727
1998 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 42, no 1, p. 145-173Article in journal (Refereed) Published
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Text
Abstract [en]

This paper presents two algorithms for solving the discrete, quasi-static, small-displacement, linear elastic, contact problem with Coulomb friction. The algorithms are adoptions of a Newton method for solving B-differentiable equations and an interior point method for solving smooth, constrained equations. For the application of the former method, the contact problem is formulated as a system of B-differentiable equations involving the projection operator onto sets with simple structure; for the application of the latter method, the contact problem is formulated as a system of smooth equations involving complementarity conditions and with the non-negativity of variables treated as constraints. The two algorithms are numerically tested for two-dimensional problems containing up to 100 contact nodes and up to 100 time increments. Results show that at the present stage of development, the Newton method is superior both in robustness and speed. Additional comparison is made with a commercial finite element code.

Place, publisher, year, edition, pages
John Wiley & Sons, 1998. Vol. 42, no 1, p. 145-173
Keywords [en]
contact; friction; complementarity; Newton’s method; interior point method; finite elements
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48248Scopus ID: 2-s2.0-0032075417OAI: oai:DiVA.org:oru-48248DiVA, id: diva2:904329
Note

Funding Agencies:

CENIIT

ABB Atom AB

TFR

National Science Foundation CCR-9213739

Office of Naval Research N00014-93-1-0228

Available from: 2007-12-19 Created: 2016-02-15 Last updated: 2017-11-30Bibliographically approved

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Strömberg, Niclas

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