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Computational contact mechanics based on the rp-version of the finite element method
Publikationstyp
Journal Article
Date Issued
2011
Sprache
English
Author(s)
Volume
8
Issue
3
Start Page
493
End Page
512
Citation
International Journal of Computational Methods 8 (3): 493-512 (2011)
Publisher DOI
Scopus ID
Publisher
World Scientific Publishing
In this paper we present an rp-adaptive discretization strategy to perform unilateral two-dimensional (2D) mechanical contact simulations by combining the r- and p-versions of the finite element method (FEM). The p-version leaves the finite element mesh unchanged and increases the shape function's polynomial degree in order to obtain convergence toward the exact solution of the underlying mathematical model. The r-method relocates nodes of an existing FE-mesh to improve the discretization of a given problem without introducing additional degrees of freedom, therefore, keeping the problem size fixed. The rp-version, which is a combination of the two aforementioned methods, is used in our study to move a node of the FE-mesh to the end of the contact zone to account for the loss of regularity that arises due to the change from contact to noncontact along the edge. It will be shown that highly accurate results can be obtained by using high-order (p) finite elements in combination with the penalty method and a relocation (r) of element nodes. © 2011 World Scientific Publishing Company.
Subjects
Contact mechanics
high-order FEM
p-version
penalty method
r-version
rp-method
DDC Class
004: Informatik
600: Technik
620: Ingenieurwissenschaften