Frictional contact and wear along virtual interfaces

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Wear is a complex interfacial phenomenon resulting from relative motion between contacting bodies, and manifests itself in material removal. Accurate representation of contact tractions while accounting for the continuously evolving geometrical changes due to wear, poses numerical challenges. The commonly encountered complexities with the numerical treatment of wear include: remeshing procedures to capture the geometrical changes and field remapping of history variables. An approach mitigating these complexities is elaborated in this work.

6th European Conference on Computational Mechanics (ECCM 6)
7th European Conference on Computational Fluid Dynamics (ECFD 7)
11-15 June 2018, Glasgow, UK
Frictional contact and wear along virtual interfaces
*Basava R. Akula1,2
, Julien Vignollet2
, Vladislav A. Yastrebov1
1
MINES ParisTech, PSL Research University, Center des Mat´eriaux, CNRS UMR 7633,
BP 87, 91003 Evry, France, basava-raju.akula@mines-paristech.fr,
vladislav.yastrebov@mines-paristech.fr
2
Safran Tech, Safran Group, 78772 Magny-les-Hameaux, France,
basava-raju.akula@safrangroup.com, julien.vignollet@safrangroup.com
Keywords: mortar method, extended ﬁnite element method, contact, wear.
Wear is a complex interfacial phenomenon resulting from relative motion between contact-
ing bodies, and manifests itself in material removal. Accurate representation of contact
tractions while accounting for the continuously evolving geometrical changes due to wear,
poses numerical challenges. The commonly encountered complexities with the numeri-
cal treatment of wear include: remeshing procedures to capture the geometrical changes
and ﬁeld remapping of history variables. An approach mitigating these complexities is
elaborated in this work.
Here we extend the existing method of embedded interfaces for tying problems to treat
frictional contact and wear problem in 2D [1]. Combining this method with the surface-to-
surface contact formulation, results in a simpliﬁed numerical framework to treat contact
problems along virtual interfaces [2, 3]. An energy-based wear law is used to determine the
progression (wear depth) of these virtual interfaces in the bulk; no remeshing is needed.
In addition to handling surface evolution, this computational scheme ensures accurate
representation of surface tractions, which is essential for wear simulation.
The method’s performance in terms of convergence and accuracy will be presented. Ap-
plications of the method to the disk-blade fretting problem will be discussed.
REFERENCES
[1] J.D. Sanders, T.A. Laursen, M.A. Puso, A Nitsche embedded mesh method, Comput.
Mech., Vol. 49 (2), pp. 243–257, 2012.
[2] N. Sukumar, T. Belytschko, Arbitrary branched and intersecting cracks with the
extended ﬁnite element method, Int. J. Num. Meth. Engng.,Vol. 48, pp. 1741-1760,
2000.
[3] M. Glitterle, A. Popp, M.W. Gee, W.A. Wall, Finite deformation frictional mortar
contact using a semi-smooth Newton method with consistent linearization, Int. J.
Num. Meth. Engng.,Vol. 84 (5), pp. 543-571, 2010.

This Ph.D. dissertation develops advanced numerical methods for contact mechanics using the finite element method. It presents a three-dimensional mortar formulation for frictional contact problems and discusses contact detection, discretization, and parallelization. A new MorteX framework combines extended finite elements and mortar methods to handle mesh tying and contact along embedded boundaries, addressing mesh locking issues. The MorteX framework is applied to model frictional wear problems with evolving contact surfaces. Various numerical examples are used to validate the implementation and demonstrate the performance of the proposed methods.

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