The isogeometric collocated contact surface approach
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Date
2022-07-22
Publication Type
Journal Article
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yes
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Abstract
We propose a frictionless contact formulation for isogeometric analysis, which combines a collocated formulation for the contact surfaces with a standard Galerkin treatment of the bulk. We denote it as isogeometric Collocated Contact Surface (CCS) formulation. The approach is based on a simple pointwise enforcement of the contact constraints, performed in this study with the penalty method. Unlike pointwise (node-to-surface or point-to-surface) contact algorithms in the Galerkin framework, the CCS formulation passes the contact patch test to machine precision by naturally exploiting the favorable properties of isogeometric collocation. Compared with approaches where the discretization of both bulk and contact surfaces is based on collocation, the CCS approach does not need enhancements to remove oscillations for highly non-uniform meshes. With respect to integral contact approaches, the CCS algorithm is less computationally expensive, due to the reduced amount of contact evaluation points. In addition, the CCS approach is easy to code and can be added to a pre-existing isogeometric analysis code with minimal effort. Numerical examples in both small and large deformations are investigated to compare the CCS approach with some available contact formulations and to demonstrate its accuracy.
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published
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Journal / series
Volume
70 (4)
Pages / Article No.
785 - 802
Publisher
Springer
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Date collected
Date created
Subject
Isogeometric Analysis; Isogeometric Collocation; Frictionless Contact; Penalty Method
Organisational unit
09697 - De Lorenzis, Laura / De Lorenzis, Laura
09697 - De Lorenzis, Laura / De Lorenzis, Laura