Details
| Original language | English |
|---|---|
| Pages (from-to) | 1009-1021 |
| Number of pages | 13 |
| Journal | Computational mechanics |
| Volume | 62 |
| Issue number | 5 |
| Publication status | Published - 23 Jan 2018 |
Abstract
This paper presents an isogeometric formulation for frictionless contact between deformable bodies, based on the recently proposed concept of the third medium. This concept relies on continuum formulations not only for the contacting bodies but also for a fictitious intermediate medium in which the bodies can move and interact. Key to the formulation is a suitable definition of the constitutive behavior of the third medium. In this work, based on a number of numerical tests, the role of the material parameters of the third medium is systematically assessed. We also assess the rate of spatial convergence for higher-order discretizations, stemming from the regularization of the non-smooth contact problem inherent to the third medium approach. Finally, problems with self contact are considered and turn out to be an attractive application of the method.
Keywords
- Contact mechanics, Isogeometric analysis, NURBS, Third medium method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 62, No. 5, 23.01.2018, p. 1009-1021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isogeometric frictionless contact analysis with the third medium method
AU - Kruse, R.
AU - Nguyen-Thanh, N.
AU - Wriggers, P.
AU - De Lorenzis, L.
N1 - Funding information: The authors at the TU Braunschweig wish to acknowledge funding from the European Research Council, ERC Starting Researcher Grant INTERFACES, Grant Agreement N. 279439.
PY - 2018/1/23
Y1 - 2018/1/23
N2 - This paper presents an isogeometric formulation for frictionless contact between deformable bodies, based on the recently proposed concept of the third medium. This concept relies on continuum formulations not only for the contacting bodies but also for a fictitious intermediate medium in which the bodies can move and interact. Key to the formulation is a suitable definition of the constitutive behavior of the third medium. In this work, based on a number of numerical tests, the role of the material parameters of the third medium is systematically assessed. We also assess the rate of spatial convergence for higher-order discretizations, stemming from the regularization of the non-smooth contact problem inherent to the third medium approach. Finally, problems with self contact are considered and turn out to be an attractive application of the method.
AB - This paper presents an isogeometric formulation for frictionless contact between deformable bodies, based on the recently proposed concept of the third medium. This concept relies on continuum formulations not only for the contacting bodies but also for a fictitious intermediate medium in which the bodies can move and interact. Key to the formulation is a suitable definition of the constitutive behavior of the third medium. In this work, based on a number of numerical tests, the role of the material parameters of the third medium is systematically assessed. We also assess the rate of spatial convergence for higher-order discretizations, stemming from the regularization of the non-smooth contact problem inherent to the third medium approach. Finally, problems with self contact are considered and turn out to be an attractive application of the method.
KW - Contact mechanics
KW - Isogeometric analysis
KW - NURBS
KW - Third medium method
UR - http://www.scopus.com/inward/record.url?scp=85040863016&partnerID=8YFLogxK
U2 - 10.1007/s00466-018-1547-z
DO - 10.1007/s00466-018-1547-z
M3 - Article
AN - SCOPUS:85040863016
VL - 62
SP - 1009
EP - 1021
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 5
ER -