https://sam.ensam.eu:443 The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material. Tue, 19 May 2026 13:11:33 GMT 2026-05-19T13:11:33Z http://hdl.handle.net/10985/8493 A multi-scale approach for the optimum design of sandwich plates with honeycomb core. Part II: the optimisation strategy MONTEMURRO, Marco; CATAPANO, Anita This work deals with the problem of the optimum design of a sandwich panel. The design strategy that we propose is a numerical optimisation procedure that does not make any simplifying assumption to obtain a true global optimum configuration of the system. To face the design of the sandwich structure at both meso and macro scales, we use a two-level optimisation strategy: at the first level we determine the optimal geometry of the unit cell of the core together with the material and geometric parameters of the laminated skins, while at the second level we determine the optimal skins lay-up giving the geometrical and material parameters issued from the first level. The two-level strategy relies both on the use of the polar formalism for the description of the anisotropic behaviour of the laminates and on the use of a genetic algorithm as optimisation tool to perform the solution search. To prove its effectiveness, we apply our strategy to the least-weight design of a sandwich plate, satisfying several constraints: on the first buckling load, on the positive-definiteness of the stiffness tensor of the core, on the ratio between skins and core thickness and on the admissible moduli for the laminated skins. Wed, 01 Jan 2014 00:00:00 GMT http://hdl.handle.net/10985/8493 2014-01-01T00:00:00Z MONTEMURRO, Marco CATAPANO, Anita This work deals with the problem of the optimum design of a sandwich panel. The design strategy that we propose is a numerical optimisation procedure that does not make any simplifying assumption to obtain a true global optimum configuration of the system. To face the design of the sandwich structure at both meso and macro scales, we use a two-level optimisation strategy: at the first level we determine the optimal geometry of the unit cell of the core together with the material and geometric parameters of the laminated skins, while at the second level we determine the optimal skins lay-up giving the geometrical and material parameters issued from the first level. The two-level strategy relies both on the use of the polar formalism for the description of the anisotropic behaviour of the laminates and on the use of a genetic algorithm as optimisation tool to perform the solution search. To prove its effectiveness, we apply our strategy to the least-weight design of a sandwich plate, satisfying several constraints: on the first buckling load, on the positive-definiteness of the stiffness tensor of the core, on the ratio between skins and core thickness and on the admissible moduli for the laminated skins. http://hdl.handle.net/10985/17329 On the correlation between stiffness and strength properties of anisotropic laminates CATAPANO, Anita; MONTEMURRO, Marco This paper focuses on the analytical formulation of a tensorial laminate-level failure criterion. The criterion is formulated and expressed in the framework of the first-order shear deformation theory (FSDT) in order to take into account the influence of the transverse shear stresses on the failure mechanisms. More precisely the most common polynomial ply-level failure criteria (expressed under a unified matrix formulation) are considered and reformulated at the laminate level. The proposed unified formulation relies on the utilisation of the polar formalism gener- alised to the FSDT framework. Through this approach all the considered criteria can be formulated in terms of tensor invariants. Furthermore, thanks to the polar representation, an important theoretical result is proven: the existence of a set of analytical relationships between the laminate strength and stiffness invariants. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17329 2018-01-01T00:00:00Z CATAPANO, Anita MONTEMURRO, Marco This paper focuses on the analytical formulation of a tensorial laminate-level failure criterion. The criterion is formulated and expressed in the framework of the first-order shear deformation theory (FSDT) in order to take into account the influence of the transverse shear stresses on the failure mechanisms. More precisely the most common polynomial ply-level failure criteria (expressed under a unified matrix formulation) are considered and reformulated at the laminate level. The proposed unified formulation relies on the utilisation of the polar formalism gener- alised to the FSDT framework. Through this approach all the considered criteria can be formulated in terms of tensor invariants. Furthermore, thanks to the polar representation, an important theoretical result is proven: the existence of a set of analytical relationships between the laminate strength and stiffness invariants. http://hdl.handle.net/10985/19269 Multi-scale optimisation of thin-walled structures by considering a global/local modelling approach IZZI, Michele Iacopo; MONTEMURRO, Marco; CATAPANO, Anita; FANTERIA, Daniele; PAILHES, Jerome In this work, a design strategy for optimising thin-walled structures based on a global-local finite element (FE) modelling approach is presented. The preliminary design of thin-walled structures can be stated in the form of a constrained non-linear programming problem (CNLPP) involving requirements of different nature intervening at the different scales of the structure. The proposed multi-scale optimisation (MSO) strategy is characterised by two main features. Firstly, the CNLPP is formulated in the most general sense by including all design variables involved at each pertinent scale of the problem. Secondly, two scales (with the related design requirements) are considered: i) the structure macroscopic scale, where low-fidelity FE models are used; ii) the structure mesoscopic scale (or component-level), where more accurate FE models are involved. In particular, the mechanical responses of the structure are evaluated at both global and local scales, avoiding the use of approximated analytical methods. The MSO is here applied to the least-weight design of an aluminium fuselage barrel of a wide-body aircraft. Fully parametric global and local FE models are interfaced with an in-house metaheuristic algorithm. Refined local FE models are created only for critical regions of the structure, automatically detected during the global analysis, and linked to the global one thanks to the implementation of a sub-modelling approach. The whole process is completely automated and, once set, it does not need any further user intervention. Wed, 01 Jan 2020 00:00:00 GMT http://hdl.handle.net/10985/19269 2020-01-01T00:00:00Z IZZI, Michele Iacopo MONTEMURRO, Marco CATAPANO, Anita FANTERIA, Daniele PAILHES, Jerome In this work, a design strategy for optimising thin-walled structures based on a global-local finite element (FE) modelling approach is presented. The preliminary design of thin-walled structures can be stated in the form of a constrained non-linear programming problem (CNLPP) involving requirements of different nature intervening at the different scales of the structure. The proposed multi-scale optimisation (MSO) strategy is characterised by two main features. Firstly, the CNLPP is formulated in the most general sense by including all design variables involved at each pertinent scale of the problem. Secondly, two scales (with the related design requirements) are considered: i) the structure macroscopic scale, where low-fidelity FE models are used; ii) the structure mesoscopic scale (or component-level), where more accurate FE models are involved. In particular, the mechanical responses of the structure are evaluated at both global and local scales, avoiding the use of approximated analytical methods. The MSO is here applied to the least-weight design of an aluminium fuselage barrel of a wide-body aircraft. Fully parametric global and local FE models are interfaced with an in-house metaheuristic algorithm. Refined local FE models are created only for critical regions of the structure, automatically detected during the global analysis, and linked to the global one thanks to the implementation of a sub-modelling approach. The whole process is completely automated and, once set, it does not need any further user intervention. http://hdl.handle.net/10985/16436 Determination of the effective thermoelastic properties of cork-based agglomerates DELUCIA, Marco; CATAPANO, Anita; MONTEMURRO, Marco; PAILHES, Jerome In this paper, a general numerical homogenisation scheme coupled with an efficient modelling strategy for predicting the effective thermoelastic properties of cork-based agglomerates is presented. In order to generate a realistic representation of the geometry and distribution of particles for the representative volume element (RVE) of the agglomerate at the mesoscopic scale, a general parametric model based on the Voronoi’s tesselation (VT) has been developed. However, the classical algorithm for VT has been enhanced by adding a full parametrization of the RVE. The grains composing the RVE are generated by considering the full set of design variables involved at this scale, i.e. the material properties of the constitutive phases (grains and matrix) and the main geometric parameters related to the grain (volume fraction, average diameter, geometric and material orientations). Numerical results show that the macroscopic effective thermoelastic properties of the cork-based agglomerate are strongly affected by the previous parameters in perfect agreement with experimental results available in literature. Tue, 01 Jan 2019 00:00:00 GMT http://hdl.handle.net/10985/16436 2019-01-01T00:00:00Z DELUCIA, Marco CATAPANO, Anita MONTEMURRO, Marco PAILHES, Jerome In this paper, a general numerical homogenisation scheme coupled with an efficient modelling strategy for predicting the effective thermoelastic properties of cork-based agglomerates is presented. In order to generate a realistic representation of the geometry and distribution of particles for the representative volume element (RVE) of the agglomerate at the mesoscopic scale, a general parametric model based on the Voronoi’s tesselation (VT) has been developed. However, the classical algorithm for VT has been enhanced by adding a full parametrization of the RVE. The grains composing the RVE are generated by considering the full set of design variables involved at this scale, i.e. the material properties of the constitutive phases (grains and matrix) and the main geometric parameters related to the grain (volume fraction, average diameter, geometric and material orientations). Numerical results show that the macroscopic effective thermoelastic properties of the cork-based agglomerate are strongly affected by the previous parameters in perfect agreement with experimental results available in literature. http://hdl.handle.net/10985/17334 Quasi-trivial stacking sequences for the design of thick laminates GARULLI, Torquato; CATAPANO, Anita; MONTEMURRO, Marco; JUMEL, Julien; FANTERIA, Daniele Quasi-trivial (QT) sequences have largely proven to be an extremely powerful tool in the design and optimisation of composites laminates. In this paper new interesting properties of this class of stacks are derived. These properties allow to obtain QT sequences by superposing (according to some prescribed rules) any number of QT elementary stacks. In this way, QT solutions with arbitrary large number of plies can be readily obtained, overcoming the computational issues arising in the search of QT solutions with huge number of layers. Moreover, a general version of the combinatorial algorithm to find QT stacks is proposed in this work. It is also proven that the previous estimation of the number of QT solutions, for a given number of plies and saturated groups, is not correct because a larger number of solutions has been found in this study. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17334 2018-01-01T00:00:00Z GARULLI, Torquato CATAPANO, Anita MONTEMURRO, Marco JUMEL, Julien FANTERIA, Daniele Quasi-trivial (QT) sequences have largely proven to be an extremely powerful tool in the design and optimisation of composites laminates. In this paper new interesting properties of this class of stacks are derived. These properties allow to obtain QT sequences by superposing (according to some prescribed rules) any number of QT elementary stacks. In this way, QT solutions with arbitrary large number of plies can be readily obtained, overcoming the computational issues arising in the search of QT solutions with huge number of layers. Moreover, a general version of the combinatorial algorithm to find QT stacks is proposed in this work. It is also proven that the previous estimation of the number of QT solutions, for a given number of plies and saturated groups, is not correct because a larger number of solutions has been found in this study. http://hdl.handle.net/10985/16435 Thermo-mechanical homogenisation of cork-based composites: variability in materials properties and propagation of uncertainty DELUCIA, Marco; CATAPANO, Anita; MONTEMURRO, Marco; PAILHES, Jerome The last decades have been characterized by a growth of raw material demand, in particular due to the consumerism in developed countries and to the fast industrialization of emerging economies. Nowadays, with the aim to minimise the environmental impact due to the consistent reduction of primary resources, the main objective in the research field of industrial materials is replacing synthetic and non-renewable materials by natural and renewable ones showing similar or even better properties. In the last years, among natural, renewable and biodegradable materials, cork has attracted the attention of both scientific and industrial communities thanks to its remarkable properties as lightness, excellent thermal and acoustic insulating capabilities mainly due to its honeycomb-like microstructure. Cork is extracted from the outer bark of Quercus Suber L. and in its natural form can be directly exploited to produce small and limited size products, e.g. cork stoppers. With the purpose to extend its field of application, cork is often used in the form of particles embedded in polymeric matrix in order to obtain cork-based agglomerates or composites [1]. Main design parameters as the density, the material properties, the fraction and the size of cork particles, the material of polymeric matrix, the manufacturing process and the overall packing density affect the thermomechanical properties of cork-based agglomerates [2]. The aim of the present work is to propose a general and efficient multi-scale numerical homogenisation strategy capable of determining the effective thermal and mechanical properties of cork-based agglomerates. A 2D (Fig.1) as well as a 3D finite element model (Fig.2) based on Voronoi's tessellation algorithm have been built and the strain energy homogenisation technique has been used for both models to determine the elastic and thermal properties of cork-based composites. In these models, parameters defining the representative volume element (RVE) are: the grain shape, grain orientation, grain matrix and cork material properties, volume fraction of the components, as well as the properties of the grain/matrix interface. Moreover, it must be pointed out that in cork-based composites, some of these parameters, as the mechanical properties of cork as well as the number, size and distribution of pores within the agglomerate, exhibit a high variability. In particular, the variability of density, porosity and chemical composition of the outer bark of Quercus Suber L. (which are strongly affected by the geographical location of cork production) explains the natural variability of the mechanical as well as thermal properties of cork. Therefore this aspect is of paramount importance when modelling and designing cork-based composite structures. For this reason, the variability of the properties mentioned above has been introduced in the FE model through a suitable probability density function [3]. More precisely, the Monte Carlo method has been used to study the effect of the variability of the model inputs on the equivalent thermo-elastic behaviour of the cork-based agglomerate at the macroscopic scale [4]. The result of the analysis has been interpreted in a statistical manner: the probability of every output quantity depends on the input probabilities and their correlations. Effective thermo-mechanical properties of different cork-based composites have been estimated and numerical results have been compared to the experimental ones in order to show the effectiveness of the proposed strategy. Tue, 01 Jan 2019 00:00:00 GMT http://hdl.handle.net/10985/16435 2019-01-01T00:00:00Z DELUCIA, Marco CATAPANO, Anita MONTEMURRO, Marco PAILHES, Jerome The last decades have been characterized by a growth of raw material demand, in particular due to the consumerism in developed countries and to the fast industrialization of emerging economies. Nowadays, with the aim to minimise the environmental impact due to the consistent reduction of primary resources, the main objective in the research field of industrial materials is replacing synthetic and non-renewable materials by natural and renewable ones showing similar or even better properties. In the last years, among natural, renewable and biodegradable materials, cork has attracted the attention of both scientific and industrial communities thanks to its remarkable properties as lightness, excellent thermal and acoustic insulating capabilities mainly due to its honeycomb-like microstructure. Cork is extracted from the outer bark of Quercus Suber L. and in its natural form can be directly exploited to produce small and limited size products, e.g. cork stoppers. With the purpose to extend its field of application, cork is often used in the form of particles embedded in polymeric matrix in order to obtain cork-based agglomerates or composites [1]. Main design parameters as the density, the material properties, the fraction and the size of cork particles, the material of polymeric matrix, the manufacturing process and the overall packing density affect the thermomechanical properties of cork-based agglomerates [2]. The aim of the present work is to propose a general and efficient multi-scale numerical homogenisation strategy capable of determining the effective thermal and mechanical properties of cork-based agglomerates. A 2D (Fig.1) as well as a 3D finite element model (Fig.2) based on Voronoi's tessellation algorithm have been built and the strain energy homogenisation technique has been used for both models to determine the elastic and thermal properties of cork-based composites. In these models, parameters defining the representative volume element (RVE) are: the grain shape, grain orientation, grain matrix and cork material properties, volume fraction of the components, as well as the properties of the grain/matrix interface. Moreover, it must be pointed out that in cork-based composites, some of these parameters, as the mechanical properties of cork as well as the number, size and distribution of pores within the agglomerate, exhibit a high variability. In particular, the variability of density, porosity and chemical composition of the outer bark of Quercus Suber L. (which are strongly affected by the geographical location of cork production) explains the natural variability of the mechanical as well as thermal properties of cork. Therefore this aspect is of paramount importance when modelling and designing cork-based composite structures. For this reason, the variability of the properties mentioned above has been introduced in the FE model through a suitable probability density function [3]. More precisely, the Monte Carlo method has been used to study the effect of the variability of the model inputs on the equivalent thermo-elastic behaviour of the cork-based agglomerate at the macroscopic scale [4]. The result of the analysis has been interpreted in a statistical manner: the probability of every output quantity depends on the input probabilities and their correlations. Effective thermo-mechanical properties of different cork-based composites have been estimated and numerical results have been compared to the experimental ones in order to show the effectiveness of the proposed strategy. http://hdl.handle.net/10985/17331 Cellular structures from additive processes: design, homogenization and experimental validation DE PASQUALE, Giorgio; MONTEMURRO, Marco; CATAPANO, Anita; BERTOLINO, Giulia; REVELLI, Luca The importance of lightweight structures in many fields of engineering is well known since long time. The innovations in technological processes based on material addiction allow pushing the design towards challenging geometries and associated structural properties. Engineered materials like lattice structures can be theoretically used to modify the local material properties and strength with minimization of the mass of components; in practice, several issues are still to be solved in stabilization of additive processes and achieving repeatable structures able to pass qualification procedures. At this purpose, dedicated experimental and design methods like those reported in this paper are needed. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17331 2018-01-01T00:00:00Z DE PASQUALE, Giorgio MONTEMURRO, Marco CATAPANO, Anita BERTOLINO, Giulia REVELLI, Luca The importance of lightweight structures in many fields of engineering is well known since long time. The innovations in technological processes based on material addiction allow pushing the design towards challenging geometries and associated structural properties. Engineered materials like lattice structures can be theoretically used to modify the local material properties and strength with minimization of the mass of components; in practice, several issues are still to be solved in stabilization of additive processes and achieving repeatable structures able to pass qualification procedures. At this purpose, dedicated experimental and design methods like those reported in this paper are needed. http://hdl.handle.net/10985/19263 A multi-scale two-level optimisation strategy integrating a global/local modelling approach for composite structures IZZI, Michele Iacopo; MONTEMURRO, Marco; CATAPANO, Anita; PAILHES, Jerome In this work, a multi-scale optimisation strategy for the preliminary design of composite structures involving design requirements at different scales, is presented. Such a strategy, denoted as GL-MS2LOS, has been formulated by integrating a dedicated global-local (GL) modelling approach into the multi-scale two-level optimisation strategy (MS2LOS). The GL-MS2LOS aims at proposing a very general formulation of the design problem, without introducing simplifying hypotheses and by considering, as design variables, the full set of geometric and mechanical parameters defining the behaviour of the composite structure at each pertinent scale. By employing a GL modelling approach, most of the limitations of well-established design strategies based on analytical or semi-empirical models are overcome. The effectiveness of the presented GL-MS2LOS is proven on a meaningful study case: the least-weight design of a composite fuselage barrel of a wide-body aircraft undergoing various loading conditions and subject to requirements of different nature. Fully parametric global and local FE models are interfaced with an in-house metaheuristic algorithm to perform the optimisation. Refined local FE models are created only for critical regions of the structure, automatically detected during the global analysis, and linked to the global one thanks to the implementation of a sub-modelling approach. The whole process is completely automated and, once set, it does not need any further user intervention. The general nature of the GL-MS2LOS allows finding an optimised configuration characterised by a weight saving of 40% when compared to an optimised aluminium solution obtained through a similar GL optimisation strategy. Wed, 01 Jan 2020 00:00:00 GMT http://hdl.handle.net/10985/19263 2020-01-01T00:00:00Z IZZI, Michele Iacopo MONTEMURRO, Marco CATAPANO, Anita PAILHES, Jerome In this work, a multi-scale optimisation strategy for the preliminary design of composite structures involving design requirements at different scales, is presented. Such a strategy, denoted as GL-MS2LOS, has been formulated by integrating a dedicated global-local (GL) modelling approach into the multi-scale two-level optimisation strategy (MS2LOS). The GL-MS2LOS aims at proposing a very general formulation of the design problem, without introducing simplifying hypotheses and by considering, as design variables, the full set of geometric and mechanical parameters defining the behaviour of the composite structure at each pertinent scale. By employing a GL modelling approach, most of the limitations of well-established design strategies based on analytical or semi-empirical models are overcome. The effectiveness of the presented GL-MS2LOS is proven on a meaningful study case: the least-weight design of a composite fuselage barrel of a wide-body aircraft undergoing various loading conditions and subject to requirements of different nature. Fully parametric global and local FE models are interfaced with an in-house metaheuristic algorithm to perform the optimisation. Refined local FE models are created only for critical regions of the structure, automatically detected during the global analysis, and linked to the global one thanks to the implementation of a sub-modelling approach. The whole process is completely automated and, once set, it does not need any further user intervention. The general nature of the GL-MS2LOS allows finding an optimised configuration characterised by a weight saving of 40% when compared to an optimised aluminium solution obtained through a similar GL optimisation strategy. http://hdl.handle.net/10985/25628 A multi-scale modelling strategy to determine the effective elastic properties of Pinus pinaster (Ait.) accounting for variability CHEVALIER, Romain; MONTEMURRO, Marco; POMMIER, Regis; CATAPANO, Anita Multi-scale numerical homogenisation strategies have been used in the recent years to efficiently compute the effective elastic properties of heterogeneous materials. Coupled with a stochastic approach, they can be applied to natural material such as wood to take into account the variability of their properties. In the case of Pinus pinaster (Ait.), available elastic properties are based on those of generic softwood species due to a lack of data in the literature, reducing the overall precision of the results. This paper proposes an efficient numerical framework based on both a general numerical homogenisation method and the well-known Monte Carlo approach to determine the equivalent elastic properties at the macroscopic scale, with the associated variability, of the Pinus pinaster (Ait.) species. The coherence of the numerical model is established by comparison with analytical and experimental results available in the literature. The obtained results reveal very good accuracy in terms of equivalent elastic properties with a macroscopic behaviour characterised by an orthotropic symmetry. Moreover, the influence of the distance from the pith on the equivalent macroscopic elastic response is highlighted Tue, 02 Jul 2024 00:00:00 GMT http://hdl.handle.net/10985/25628 2024-07-02T00:00:00Z CHEVALIER, Romain MONTEMURRO, Marco POMMIER, Regis CATAPANO, Anita Multi-scale numerical homogenisation strategies have been used in the recent years to efficiently compute the effective elastic properties of heterogeneous materials. Coupled with a stochastic approach, they can be applied to natural material such as wood to take into account the variability of their properties. In the case of Pinus pinaster (Ait.), available elastic properties are based on those of generic softwood species due to a lack of data in the literature, reducing the overall precision of the results. This paper proposes an efficient numerical framework based on both a general numerical homogenisation method and the well-known Monte Carlo approach to determine the equivalent elastic properties at the macroscopic scale, with the associated variability, of the Pinus pinaster (Ait.) species. The coherence of the numerical model is established by comparison with analytical and experimental results available in the literature. The obtained results reveal very good accuracy in terms of equivalent elastic properties with a macroscopic behaviour characterised by an orthotropic symmetry. Moreover, the influence of the distance from the pith on the equivalent macroscopic elastic response is highlighted http://hdl.handle.net/10985/19921 A Cellular Potts energy-based approach to analyse the influence of the surface topography on single cell motility THENARD, Thomas; CATAPANO, Anita; MESNARD, Michel; ALLENA, Rachele cellular scale level, the cell behaviour, especially its migration, is affected by the specificities of the surface of the substrate, such as the stiffness of the surface and its roughness topography. The latter has been shown to have a great impact on various cell mechanisms, such as the cell adhesion, migration, or proliferation. In fact, the mere presence of micro roughness leads to an improvement of those mechanisms, with a better integration of the implants. However, the phenomena behind those improvements are still not clear. In this paper, we propose a three-dimensional (3D) model of a single cell migration using a Cellular Potts (CP) model to study the influence of the surface topography on cell motility. To do so, various configurations were tested, such as: (i) a substrate with a random roughness, (ii) a substrate with a rectangular groove pattern (parallel and perpendicular to the direction of motion), (ii) a substrate with a sinusoidal groove pattern. To evaluate the influence of the surface topography on cell motility, for each configuration, the cell speed and shape as well as the contact surface between the cell and the substrate have been quantified. Our numerical results demonstrate that, in agreement with the experimental observations of the literature, the substrate topography has an influence on the cell efficiency (i.e. cell speed), orientation and shape. Besides, we also show that the increase of the contact surface alone in presence of roughness is not enough to explain the improvement of cell migration on the various rough surfaces. Finally, we highlight the importance of the roughness dimension on cell motility. This could be a critical aspect to consider for further analyses and applications, such as surface treatments for medical applications. Fri, 01 Jan 2021 00:00:00 GMT http://hdl.handle.net/10985/19921 2021-01-01T00:00:00Z THENARD, Thomas CATAPANO, Anita MESNARD, Michel ALLENA, Rachele cellular scale level, the cell behaviour, especially its migration, is affected by the specificities of the surface of the substrate, such as the stiffness of the surface and its roughness topography. The latter has been shown to have a great impact on various cell mechanisms, such as the cell adhesion, migration, or proliferation. In fact, the mere presence of micro roughness leads to an improvement of those mechanisms, with a better integration of the implants. However, the phenomena behind those improvements are still not clear. In this paper, we propose a three-dimensional (3D) model of a single cell migration using a Cellular Potts (CP) model to study the influence of the surface topography on cell motility. To do so, various configurations were tested, such as: (i) a substrate with a random roughness, (ii) a substrate with a rectangular groove pattern (parallel and perpendicular to the direction of motion), (ii) a substrate with a sinusoidal groove pattern. To evaluate the influence of the surface topography on cell motility, for each configuration, the cell speed and shape as well as the contact surface between the cell and the substrate have been quantified. Our numerical results demonstrate that, in agreement with the experimental observations of the literature, the substrate topography has an influence on the cell efficiency (i.e. cell speed), orientation and shape. Besides, we also show that the increase of the contact surface alone in presence of roughness is not enough to explain the improvement of cell migration on the various rough surfaces. Finally, we highlight the importance of the roughness dimension on cell motility. This could be a critical aspect to consider for further analyses and applications, such as surface treatments for medical applications.