Uzawa algorithm to solve elastic and elastic–plastic fretting wear problems within the bipotential framework

This paper deals with elastic and elastic–plastic fretting problems. The wear gap is taken into account along with the initial contact distance to obtain the Signorini conditions. Both the Signorini conditions and the Coulomb friction laws are written in a compact form. Within the bipotential framew...

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Bibliographic Details
Published inComputational mechanics Vol. 62; no. 6; pp. 1327 - 1341
Main Authors Ning, Po, Feng, Zhi-Qiang, Quintero, Juan Antonio Rojas, Zhou, Yang-Jing, Peng, Lei
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer
Springer Nature B.V
Springer Verlag
Subjects
Classical and Continuum Physics
Computational Science and Engineering
Contact force
Coulomb friction
Engineering
Fretting
Mathematical analysis
Mechanics
Original Paper
Physics
Theoretical and Applied Mechanics
Uzawa's algorithm
Wear
Uzawa algorithm
Fretting wear
Archard wear law
Bipotential
Plasticity
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Summary:This paper deals with elastic and elastic–plastic fretting problems. The wear gap is taken into account along with the initial contact distance to obtain the Signorini conditions. Both the Signorini conditions and the Coulomb friction laws are written in a compact form. Within the bipotential framework, an augmented Lagrangian method is applied to calculate the contact forces. The Archard wear law is then used to calculate the wear gap at the contact surface. The local fretting problems are solved via the Uzawa algorithm. Numerical examples are performed to show the efficiency and accuracy of the proposed approach. The influence of plasticity has been discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-018-1567-8