Publications

2020

• Size-independent phase distinction in dispersed two-phase flows
  
  • de Souza David
  • Zürner Till
  • Monchaux Romain
  , 2020. In the study of dispersed two phase flows, having access to the velocities of both phases is necessary to fully understand and study the behaviour of these complex systems. While all data can be obtained in numerical simulations, this can prove more difficult to perform with experimental measurements. In this article, a new method to separate inertial particles from tracers in a two-dimensional laser sheet is described. By using a two camera acquisition system in conjunction with an optical filter, the two phases can successfully be segregated, without relying on an apparent size or intensity difference between inertial particles and tracers. This allows for the velocities and positions of the particles to be measured in conjunction with the velocity field of the carrying phase. A series of tests are performed on the method. In addition to ensuring that the method functions in a satisfactory manner, these tests give indications on how to use the method properly. As an example, measurement results of ceramic particles settling in still water are presented.
• An analytical approach based on tailored Green's functions for flow noise prediction at low Mach number
  
  • Trafny Nicolas
  • Serre Gilles
  • Cotte Benjamin
  • Mercier Jean-François
  , 2020, pp.749-750. The presence of boundary surfaces in a turbulent flow can result in the enhancement of the radiated acoustic field especially for eddies close to any geometrical singularity. At low Mach number, it is well known that the contribution of the diffracted field is dominant. In the present study, we focus on Lighthill?s wave equation solved using a tailored Green?s function and a semi-empirical turbulence model in order to investigate the direct acoustic field produced by a turbulent boundary layer over a flat plate. We consider both the turbulent boundary layer noise and edge noise, and power law results deduced from classical dimensional analysis are recovered. The specular acoustic field, produced by eddies far from any edge increases in proportion to the fourth power of the Mach number and the diffracted field directly in proportion to the Mach number. Finally, we chose a NACA 0012 airfoil in order to validate the noise spectrum prediction for different configurations for which trailing edge noise is the dominant contribution. (10.48465/fa.2020.0912)
  DOI : 10.48465/fa.2020.0912
• Experimental characterization and analytical modelling of rotor tonal noise
  
  • Cotte Benjamin
  • Rigall Tommy
  • Deora Chakshu
  , 2020, pp.2937-2943. In this study, the tonal noise due to the interaction ofa simplified rotor and a circular tower is characterized experimentally in a controlled environment. The test bench isinstalled in the anechoic chamber of ENSTA Paris, and is composed of a rotor made of three NACA 0012 untwisted blades set into motion by a motor. The radiated noise is measured by three microphones and 32 pressure taps are mounted on the tower wall to measure the pressure variation during the blade passage. The effect of the blade-tower distance is clearly captured in the wall and acoustic pressure measurements, blade-tower interaction noise being significant when the distance is smaller than the towerradius. Based on the measured wall pressure distribution on the tower surface, the acoustic pressure is calculated using Curle’s analogy in the compact far-field approximation. The contribution of the blades in the noise generationis not considered. The measured and predicted spectra arein good agreement, although the magnitude of the Fourier series coefficients of harmonics 3 to 6 tends to be overpredicted. (10.48465/fa.2020.0269)
  DOI : 10.48465/fa.2020.0269
• Application of sound synthesis of piano tones to study the vibroacoustics of piano soundboards
  
  • Elie Benjamin
  • Cotté Benjamin
  • Boutillon Xavier
  , 2020, pp.2151-2153. We present the framework of MAESSTRO, which is a software for the Computer-Aided Design of piano soundboards. Based on sound synthesis of piano tones using physical models, it aims at assisting piano makers by providing them the opportunity to predict the mechanical behavior of virtual soundboards and the resulting sounds pf the piano in playing situation. The software is designed so that the synthesized tones reflect faithfully the mechanical and geometrical properties of the soundboard. It uses physical models that numerically simulate the phenomena that are involved in the production of piano sounds, from the impact of the hammer on the string to the radiated sound. We present applications that show the different functionalities of the software, including computing the modal basis of soundboards, studying the driving point admittance along the bridges, and the homogeneity of acoustic features along the tessitura. These applications are helpful to study the mechanical and acoustical impacts of structural modifications of a virtual soundboard. (10.48465/fa.2020.0781)
  DOI : 10.48465/fa.2020.0781
• Influence of environmental parameters on the modeling of wind turbine noise emission and propagation: a sensitivity analysis
  
  • Kayser Bill
  • Ecotiere David
  • Gauvreau Benoit
  • Cotte Benjamin
  , 2020, pp.pp. 2351-2357. Reliable prediction of wind turbine noise involves taking into account environmental phenomena such as atmospheric conditions and ground properties, that are variable in time and space. Thus, it is essential to estimate the relative influence of those environmental parameters/variables on acoustic field calculations, in order to determine the parameters that will be the main source of uncertainties. To do so, we performed a sensitivity analysis based on the Morris? screening method using a wind turbine noise emission model coupled to a sound propagation model. The emission model is based on Amiet?s theory and is coupled to a Parabolic Equation propagation model (MW-WAPE). The whole simulation takes into account ground effects (absorption through acoustic impedance, and scattering through surface roughness) and micrometeorological effects (mean refraction through the vertical gradient of effective sound speed, and turbulence through the technique of random Fourier modes). The final results will allow quantifying the overall variability and uncertainties associated with the emission-propagation- reception sound chain. A better knowledge of these uncertainties will provide a better control of the quality of wind turbine noise prediction in an inhomogeneous outdoor environment. (10.48465/fa.2020.0052)
  DOI : 10.48465/fa.2020.0052
• EXPERIMENTAL CHARACTERIZATION AND ANALYTICAL MODELING OF ROTOR TONAL NOISE
  
  • Cotté Benjamin
  • Rigall Tommy
  • Deora Chakshu
  , 2020, pp.2615-2621. In this study, the tonal noise due to the interaction of a simplified rotor and a circular tower is characterized experimentally in a controlled environment. The test bench is installed in the anechoic chamber of ENSTA Paris, and is composed of a rotor made of three NACA 0012 untwisted blades set into motion by a motor. The radiated noise is measured by three microphones and 32 pressure taps are mounted on the tower wall to measure the pressure variation during the blade passage. The effect of the bladetower distance is clearly captured in the wall and acoustic pressure measurements, blade-tower interaction noise being significant when the distance is smaller than the tower radius. Based on the measured wall pressure distribution on the tower surface, the acoustic pressure is calculated using Curle's analogy in the compact far-field approximation. The contribution of the blades in the noise generation is not considered. The measured and predicted spectra are in good agreement, although the magnitude of the Fourier series coefficients of harmonics 3 to 6 tends to be overpredicted.
• Numerical Characterization of Acoustic Properties of A Novel Bio-based Porous Epoxy Resin
  
  • Nguyen Quoc Bao
  • Nguyen Vu-Hieu
  • Anda Agustun Rios De
  • Versace Davy-Louis
  • Renard Estelle
  • Naili Salah
  , 2020, pp.1847-1854. Sound absorbing porous materials are widely used for protection and insulation applications. In recent years, the development of recyclable bio-based porous materials have aroused a great interest to replace petroleum-based traditional materials. This work aims for studying, in particular, acoustic properties of a novel bio-based porous epoxy resin obtained by an adapted combination of cationic photopolymerization and porogen leaching technique. A multiscale framework was proposed for studying the acoustic absorption performances of a plate-like panel made of this kind of material. To do so, the asymptotic homogenization method was first used to estimate the effective properties of the elaborated material, which has fillet-edge cubic pore shapes according to the SEM (Scanning electron microscope) images. The finite element method was used to solve the cell problems and compute the effective properties. The sound absorption of a plate made by the equivalent poroelastic material with rigid impervious backing under a normal incidence was then studied. The validation was done by comparing the numerical estimation of equivalent dynamic density and bulk modulus to corresponding experimental results obtained by using the three-microphone impedance tube testing on several elaborated samples. A parametric study was carried out to investigate influence of the porosity, the pore arrangement, and the pore size on effective properties and sound absorption performances of the material. The obtained results should be very useful for improve the elaboration process of these materials in order to optimize, in particular, the sound absorption performances of isolation structures. (10.48465/fa.2020.1007)
  DOI : 10.48465/fa.2020.1007
• Experimental Investigation of the Acoustic Radiation of an Oscillating Airfoil
  
  • Raus David
  • Cotté Benjamin
  • Monchaux Romain
  • Lafoux Baptiste
  • Jondeau Emmanuel
  • Souchotte Pascal
  • Roger Michel
  , 2020, pp.2319-2321. In open rotor applications, such as wind turbines and propellers, the angle of attack of a blade can vary during its rotation, due to an inhomogeneous inflow. This causes a variation of the broadband noise radiated by the blades, which is a possible explanation for the amplitude modulations of wind turbine noise that can be measured <i>in situ</i>. The goal of this experiment is to characterize the broadband airfoil noise in static (fixed angle of attack) and dynamic (oscillating airfoil) configurations. Experiments are conducted in the anechoic wind tunnel of the Ecole Centrale de Lyon, at Reynolds numbers between 2x10<sup>5</sup> and 6x10<sup>5</sup>, in which a symmetrical NACA 0012 airfoil is tested at constant angle of attack, or with a sinusoidal pitching motion. Aerodynamics around the airfoil is characterized with wall pressure measurements (low frequency static probes and high-frequency remote microphone probes) synchronized with far-field acoustic pressure measurements using four microphones. The effects of inflow turbulence and of the Reynolds number on the noise are first investigated in order to identify the different noise sources developing for a static airfoil at low incidence (trailing edge noise and turbulence-impingment noise) and at larger incidence (separation and stall noise). In particular, the turbulent intensity of the incident flow is shown to have a strong effect on the separation and stall phenomena at high angles of attack. It is then shown that these different noise sources can develop for a pitching airfoil; the boundary layers on the airfoil and the noise emitted adapting to the oscillating angle of attack. In particular, the effect of the pitching frequency and of the inflow conditions on the dynamic stall noise are investigated. (10.48465/fa.2020.0273)
  DOI : 10.48465/fa.2020.0273
• Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints
  
  • Kruse Carola
  • Darrigrand Vincent
  • Tardieu Nicolas
  • Arioli Mario
  • Rüde Ulrich
  Advanced Modeling and Simulation in Engineering Sciences, Springer, 2020, 7 (1). (10.1186/s40323-020-00181-2)
  DOI : 10.1186/s40323-020-00181-2
• Environmental parameters sensitivity analysis for the modeling of wind turbine noise in downwind conditions
  
  • Kayser Bill
  • Cotté Benjamin
  • Ecotière David
  • Gauvreau Benoit
  Journal of the Acoustical Society of America, Acoustical Society of America, 2020, 148 (6), pp.3623-3632. (10.1121/10.0002872)
  DOI : 10.1121/10.0002872
• Machine learning control and modeling -How taming turbulence can be made easy, efficient, fast and fun!
  
  • Noack Bernd R.
  • Li Yiqing
  • Fan Dewei
  • Zhou Yu
  • Li Hao
  • Tan Jianguo
  • Maceda Guy Cornejo
  • Lusseyran François
  • Deng Nan
  • Pastur Luc
  • Fernex Daniel
  • Semaan Richard
  • Albers Marian
  • Schröder Wolfgang
  • Morzynski Marek
  • Brunton Steven L.
  , 2020. Closed-loop turbulence control has current and future engineering applications of truly epic proportions, including cars, trains, airplanes, jet noise, air conditioning, medical applications, wind turbines, combustors, and energy systems, i.e., well-known topics in the GDR 2502. A key feature, opportunity and technical challenge is the inherent nonlinearity of the actuation response [1]. For instance, excitation at a given frequency will affect also other frequencies. This frequency cross-talk is not accessible in any linear control framework. Recently, Artificial Intelligence (AI) / Machine Learning (ML) has opened game-changing new avenues [2]: the automated model-free discovery and exploitation of unknown nonlinear actuation mechanisms directly in the plant and the automated reduced-order modeling from these data. In this talk, we review recent successes on these avenues for broadband frequency turbulence with distributed actuators. Methodological advances include (1) a ML response model predicting performance increases by actuation [3]. (2) the cluster-based network model for automated robust identification of coherent-structure dynamics [4], (3) the explorative gradient method for actuation optimization with the convergence rate of a gradient method and an exploration of global minima [6], and, last but not least, (4) a novel fast-learning gradient-enriched machine learning control which optimizes MIMO feedback laws [5]. Thus, we achieve: (1) 31% drag reduction of a turbulent boundary layer with spanwise traveling surface waves [3, 4], (2) 17% drag reduction of a slanted Ahmed body with 5 groups of orientable actuation jets [6], (3) a significant increase of mixing of a turbulent jet with a novel distributed unsteady actuation [7] and (4) an understanding of the coherent structure dynamics. Nan Deng and Guy Cornejo Maceda will elaborate recent advances for the fluidic pinball during in this meeting.
• Dielectric elastomer loudspeakers : models, experiments and optimization
  
  • Garnell Emil
  , 2020. Dielectric elastomers are soft active materials capable of large deformations when activated by a high voltage. They consist of a thin elastomer membrane (generally made of silicone or acrylic), sandwiched between compliant electrodes. The thickness of the assembly is about 100 microns. When a high voltage is applied between the electrodes, the membrane is squeezed between the electrodes, and increases in area by up to 100%.This electromechanical conversion principle can be used to build loudspeakers. Prototypes have been developed and tested by several research groups, and models have been proposed to estimate their performance.An intrinsic characteristic of dielectric elastomer loudspeakers is their multi-physic nature. Indeed, the actuation mechanism is itself a coupling between electrostatics and mechanics; the membrane is very thin and light, and couples therefore strongly with the surrounding air which is comparatively heavy; and finally the electrode electrical resistivity induces a coupling between electrodynamics and mechanics.The models proposed so far did not consider all of these couplings together, which limited their use to qualitative estimations. In this thesis, a multi-physic model of dielectric elastomer loudspeakers is set-up, in order to optimize their acoustic performances, in terms of frequency response, radiated level, and directivity. The strong couplings between electrostatics, membrane dynamics, acoustics and electrodynamics are studied with a finite element model in FreeFEM. This model is validated by dynamical and acoustical measurements, and then used to improve the performances of the prototype, by working on several levels: optimisation of the excitation, filtering, damping and control. (10.70675/befd9cfbze6bfz4229z8a2az4d2d2bd3bb5b)
  DOI : 10.70675/befd9cfbze6bfz4229z8a2az4d2d2bd3bb5b
• Effective Resonant Model and Simulations in the Time-Domain of Wave Scattering from a Periodic Row of Highly-Contrasted Inclusions
  
  • Touboul Marie
  • Pham Kim
  • Maurel Agnès
  • Marigo Jean-Jacques
  • Lombard Bruno
  • Bellis Cédric
  Journal of Elasticity, Springer Verlag, 2020, 142 (1), pp.53-82. (10.1007/s10659-020-09789-2)
  DOI : 10.1007/s10659-020-09789-2
• Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach
  
  • Shen Yichang
  • Béreux Natacha
  • Frangi Attilio Alberto
  • Touzé Cyril
  European Journal of Mechanics - A/Solids, Elsevier, 2020. (10.1016/j.euromechsol.2020.104165)
  DOI : 10.1016/j.euromechsol.2020.104165
• Thermographic approach for high cycle fatigue of seam welded steel joints under variable amplitude loadings
  
  • Pierron Quentin
  • Maitournam Habibou
  • Raoult Ida
  Fatigue and Fracture of Engineering Materials and Structures, Wiley-Blackwell, 2020, 43 (12), pp.2966-2983. In the automotive field, welded joints are the weak points of the steel parts of the chassis in terms of fatigue. The fatigue strength of arc‐welded parts is generally evaluated using fatigue tests under constant amplitude loadings designed according to the Palmgren–Miner rule. In this paper, the relevance of this process is tested with an experimental campaign on welded specimens subjected to various variable amplitude loads. In addition, to solve the recurrent issue of lack of fatigue data, a thermographic method is investigated as an alternative for monitoring the damage rate evolution. A theoretical thermal model is proposed to estimate a local heat source from the infrared thermal measurements during constant and variable amplitude loading tests. This heat source is shown to be correlated with fatigue damage, which provides further insight into the evolution of damage during nonconstant amplitude fatigue tests. (10.1111/ffe.13348)
  DOI : 10.1111/ffe.13348
• Probabilistic Low Cycle Fatigue criterion for nodular cast-irons
  
  • Szmytka Fabien
  • Charkaluk Eric
  • Constantinescu Andrei
  • Osmond Pierre
  International Journal of Fatigue, Elsevier, 2020, 139, pp.105701. This paper proposes an original method for characterising the Low Cycle Fatigue (LCF) lifetime using probability density functions. The protocol is based on statistics of microstructure heterogeneities taken as damage initiation sites, a qualitative mechanical analysis of the heterogeneities harmfulness and the definition of a micro-crack growth law. The technique is here established and the associated model identified for a nodular cast iron where the graphite nodules are assumed to be the damage initiation zones. The LCF lifetime is characterised from both a large set of experimental test between 300 and 600 • C and damage observations at the micro-scale. Experimental post-mortem observation combined with a simple numerical study first enable to assume the harmfulness of nodules according to their size and their probable role in the damage process A probability density function for the lifetime is then built from the following steps: (i) a quantitative analysis of the material micro-structure, which provides the probability density of nodules occurrence depending of their size (ii) an extreme value analysis using a Gumbel distribution and (iii) a micro-crack growth law associated with LCF conventional terms of energy densities. Its parameters are obtained using an optimisation process applied to laboratory fatigue experiment. The obtained probability function provides a good match for the lifetime and greatly improves results given by conventional criteria. It moreover provides a robust estimate of the lifetime scatter for different types of fatigue tests. (10.1016/j.ijfatigue.2020.105701)
  DOI : 10.1016/j.ijfatigue.2020.105701
• Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances
  
  • Marigo Jean-Jacques
  • Pham Kim
  • Maurel Agnès
  • Guenneau Sebastien
  Journal of the Mechanics and Physics of Solids, Elsevier, 2020, 143, pp.104029. (10.1016/j.jmps.2020.104029)
  DOI : 10.1016/j.jmps.2020.104029
• Refined mean field model of heat and momentum transfer in magnetoconvection
  
  • Zürner Till
  Physics of Fluids, American Institute of Physics, 2020, 32 (10), pp.107101. In this article, the theoretical model on heat and momentum transfer for Rayleigh-Bénard convection in a vertical magnetic field by Zürner et al. (Phys. Rev. E 94, 043108 (2016)) is revisited. Using new data from recent experimental and numerical studies the model is simplified and extended to the full range of Hartmann numbers, reproducing the results of the Grossmann-Lohse theory in the limit of vanishing magnetic fields. The revised model is compared to experimental results in liquid metal magnetoconvection and shows that the heat transport is described satisfactorily. The momentum transport, represented by the Reynolds number, agrees less well which reveals some shortcomings in the theoretical treatment of magnetoconvection. (10.1063/5.0021895)
  DOI : 10.1063/5.0021895
• Sagittal split ramus osteotomy-related biomechanical properties
  
  • Rougier G.
  • Boisson J.
  • Thurieau N.
  • Kogane N.
  • Mangione F.
  • Picard A.
  • Dallard J.
  • Cherfa L.
  • Szmytka Fabien
  • Kadlub N.
  British Journal of Oral and Maxillofacial Surgery, Elsevier, 2020, 58 (8), pp.975-980. (10.1016/j.bjoms.2020.05.002)
  DOI : 10.1016/j.bjoms.2020.05.002
• Ambient effects on the output strain of Ni–Mn-Ga single crystal magnetic shape memory alloy
  
  • Zhang Shaobin
  • Qin Guoshun
  • He Yongjun
  Journal of Alloys and Compounds, Elsevier, 2020, 835, pp.155159. (10.1016/j.jallcom.2020.155159)
  DOI : 10.1016/j.jallcom.2020.155159
• Caractérisation et modélisation du comportement dynamique des verres métalliques
  
  • Bayard Marine
  , 2020. Depuis leur découverte dans les années 1960, les verres métalliques ont suscité un intérêt grandissant pour leurs propriétés mécaniques exceptionnelles telles que leur résistance mécanique, leur dureté et une grande déformation élastique. Parmi les différents systèmes amorphisables existants, ceux à base zirconium ont fait l’objet de nombreux développements allant jusqu’à l’exploitation industrielle. Les phénomènes de déformation et de changements structuraux qui se produisent au sein des verres métalliques ne sont pas encore complètement compris. Pour des applications futures (transports, défense…), il est nécessaire d'appréhender et de comprendre les mécanismes de déformation et de rupture de ces matériaux soumis à différents types de chargements.Le travail présenté dans ce manuscrit vise à étudier le comportement hétérogène de ces matériaux dans une large gamme de sollicitations. Une approche expérimentale, basée sur des essais aux barres d’Hopkinson dans différentes configurations et des caractérisations DRX, DSC et MEB des éprouvettes avant et après essais, a été mise en place. Elle a permis d’identifier les mécanismes physiques en jeu dans la réponse mécanique en régime dynamique de ces matériaux, à l’état amorphe, pur et partiellement cristallisé.Le phénomène de localisation qui se produit dans les verres métalliques a été étudié par une modélisation par éléments finis. Une formulation élastoviscoplastique en multiaxial, basée sur la théorie des volumes libres, a été proposée dans ce travail pour modéliser les processus d'initiation des bandes de cisaillement qui contribuent à la plasticité macroscopique. Les trois phénomènes (diffusion, création du fait de la déformation et relaxation structurale) susceptibles de modifier la concentration locale de volume libre ont été analysés. (10.70675/66d21f9bze075z4963z8095z17155e1c303f)
  DOI : 10.70675/66d21f9bze075z4963z8095z17155e1c303f
• Modelling the drying shrinkage of porous materials by considering both capillary and adsorption effects
  
  • El Tabbal Ginger
  • Dangla Patrick
  • Vandamme Matthieu
  • Bottoni M.
  • Granet S.
  Journal of the Mechanics and Physics of Solids, Elsevier, 2020, 142, pp.104016. This paper presents a poromechanical model for drying of unsaturated porous media valid for a large range of relative humidity. Using the proper laws of thermodynamics, this model is derived and permits to account for different effects that contribute to the effective stress development: the average pore pressure effect, the energy of the interfaces effect, the surface adsorption effect and the Shuttleworth effect. The majority of the input parameters of this model are simply assessed by using two commonly known techniques for the characterization of pores structures applied on experimental desorption isotherms: the B.E.T theory (Brunauer et al., 1938) and the BJH technique (Barrett et al., 1951). Another input parameter (linked to the Shuttleworth effect) is fitted on experimental drying shrinkage strains. This model is tested and validated with experimental data for different porous materials - hardened ordinary cement paste, high- performance concrete and Vycor glass - found in the literature. The obtained results show a satisfactory evaluation of the drying shrinkage strains for all three tested materials, with the possibility of considering zero fitting parameter. Compared to other poromechanical models found in the literature such as the classical Biot-Bishop (Biot, 1941) model and the (Coussy et al., 2003) model, our model appears to be capable of displaying the transition at a certain relative humidity between the capillary pressure effects and the surface adsorption effect, which manifests itself by a plateau in the drying shrinkage strains curve at this value of relative humidity. (10.1016/j.jmps.2020.104016)
  DOI : 10.1016/j.jmps.2020.104016
• Evolution of transformation characteristics of shape memory alloys during cyclic loading: transformation temperature hysteresis and residual martensite
  
  • Gu Xiaojun
  • Zhang Yahui
  • You Yajun
  • Ju Xiaofei
  • Zhu Jihong
  • Moumni Ziad
  • Zhang Weihong
  Smart Materials and Structures, IOP Publishing, 2020, 29 (9), pp.095011. (10.1088/1361-665X/ab9f10)
  DOI : 10.1088/1361-665X/ab9f10
• Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions
  
  • Daude Frédéric
  • Galon P.
  Nuclear Engineering and Design, Elsevier, 2020, 365, pp.110734. (10.1016/j.nucengdes.2020.110734)
  DOI : 10.1016/j.nucengdes.2020.110734
• A polynomial expansion based model for evaluating wear of thin surface coatings in fea
  
  • Tiirats Tauno
  • Chevaugeon Nicolas
  • Moes Nicolas
  • Stolz Claude
  • Marouf Nabil
  , 2020. In the case of very thin soft surface coatings, the coating layer contribution is often discarded in a largescale Finite Element Analysis (FEA). This is mainly due to the extensive numerical cost involved. However, to avoid failure of contacting coated parts one has to consider wear of the coatings themselves. This adds additional layer of complexity to the problem. To overcome the excessive computational cost introduced by the full discretization of the layer an alternative approach needs to be considered. Inspired by the early work of Matthewson [1], using a polynomial expansion based approximation for the surface layer together with FEA can lead to an improved numerical framework. By proposing that the thin layer can be seen as a surface described by a dimensional variable ˆy, the displacement field in the coating layer can be approximated by a polynomial expansion as $u = P_i(\hat{y}))u_i(x,z)$. where $u_i$ are the unknown displacement modes. By integrating over the layer dimensional variable ˆy the initial two phase problem is replaced by an interface problem. As the boundary of the substrate is discretized for FEA, the interface stiffness contribution can be directly added to the global FE-system. Thus, making the method easily suitable for usage with FEA. Furthermore, the only correction to KKT contact conditions is the modification of the gap function to include the displacements on the contacting interface. As there is no volumetric representation of the coating the removal of material due to wear can be described by the change of layer thickness. Making it straightforward to connect the abrasive/adhesive wear rate to a solution dependent field like shear stress or contact pressure as in case of Archard law. In addition, no remeshing routine is required as the thickness of the layer is a mesh independent parameter. The possibility of including the above mentioned methodology in a FEA based wear simulation is presented. This research work focuses on a specific tribology test (Cross-Cylinder) to investigate the abrasive wear of coated cylinders. The results of the numerical model are directly compared to Greenwood [2] and physical test results. It is shown that there exists a significant cost reduction by considering polynomial based approximation of thin layers without loss of accuracy. Furthermore, the inclusion of wear is straighforward as it scales down to controlling the evolution of just one internal paramater. Finally, the compatibility with FEA is adressed on the example of implementation in commercial FEA softwar