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Modeling the lubricant redistribution in cold rolling: a multi-scale and multi-physics thermo-mechanical study

Thesis proposal

Area of expertiseMechanics
Doctoral SchoolISMME - Systems Engineering, Materials, Mechanics, Energy
SupervisorM. Vladislav YASTREBOV
Research unitCentre of materials
Starting dateOctober 1st 2025
KeywordsCold rolling, lubrication, contact, friction, modeling, finite element method
AbstractIn cold rolling, lubrication plays a key role: friction must be neither too high to avoid overheating, nor too low to prevent slippage between sheet and rollers. The lubrication process revolves around pockets of lubricant trapped in the hollows of the roughness, which are then redistributed to the interface under the very high pressure of contact between the rollers and the metal sheet [1,2]. This process, known as micro-plasto-hydrodynamic (MPH) lubrication, remains poorly understood and represents a challenge in terms of modeling and simulation, as it involves all the mechanical non-linearities such as large deformations, visco-plasticity and frictional contact, all coupled with the behavior of the viscous interfacial fluid.

The aim of this thesis project is to develop and integrate a constitutive model to optimize lubrication in the cold rolling process. Phase I of the project begins with an in-depth study of the behavior of shearless compressed lubricant pockets, building on previous work [3,4,5] and numerical finite element simulations to understand the influence of stochastic rough surface morphology. Next, adaptation of the in-house finite element software, Z-set (C++), will be carried out to incorporate shear effects in the contact interface. Thermal effects, and their role in modifying effective friction, will also be taken into account. A parametric numerical study will be carried out to investigate lubrication and lubricant redistribution under various operating conditions [6].

Based on this study, a three-dimensional analytical or semi-analytical model will be built by extrapolating the two- and three-dimensional results. This model will be validated in collaboration with ArcelorMittal Maizières Research at Maizières-lès-Metz, where experimental tests will be designed and carried out (phase II) to refine and confirm the model's relevance.

The final phase of the project (phase III), which will take place at the University of Liège, LTAS-Nonlinear Numerical Mechanics laboratory, focuses on integrating this thermo-mechanical model into Metalub, the engineering software used by ArcelorMittal. This requires careful preparation to adapt the model to Metalub's specific needs, followed by modification of Metalub's source code, written in C++, and final validation using experimental data to ensure the accuracy and efficiency of the integrated model. This project embraces a multidisciplinary approach, combining numerical modeling, experimental analysis and software development to improve industrial cold rolling processes.
ProfileEngineer and / or Master of Science - Good level of general and scientific culture. Good level of knowledge of French (B2 level in French is required) and English. (B2 level in English is required) Good analytical, synthesis, innovation and communication skills. Qualities of adaptability and creativity. Teaching skills. Motivation for research activity. Coherent professional project.

Prerequisite (specific skills for this thesis):
Finite element method + programming skills (C++ and Python)




Applicants should supply the following :
• a detailed resume
• a copy of the identity card or passport
• a covering letter explaining the applicant’s motivation for the position
• detailed exam results
• two references : the name and contact details of at least two people who could be contacted
• to provide an appreciation of the candidate
• Your notes of M1, M2
• level of English equivalent TOEIC
to be sent to recrutement_these@mat.mines-paristech.fr and vladislav.yastrebov@minesparis.psl.eu
FundingCIFRE ANRT

- MINES ParisTech
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