Publications

Cédric Bellis, Bruno Lombard, Marie Touboul, Raphaël Assier. Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces. Journal of the Mechanics and Physics of Solids, 2021, 149, pp.104321. ⟨10.1016/j.jmps.2021.104321⟩. ⟨hal-03117813v2⟩

Raphaël Assier, Marie Touboul, Bruno Lombard, Cédric Bellis. High-frequency homogenisation in periodic media with imperfect interfaces. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2020, 476, pp.20200402. ⟨hal-02615237v4⟩

Marie Touboul, Kim Pham, Agnès Maurel, Jean-Jacques Marigo, Bruno Lombard, et al.. Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions. Journal of Elasticity, Springer Verlag, 2020, 142, pp.53-82. ⟨hal-02625303v2⟩

Marie Touboul, Kim Pham, Agnès Maurel, Jean-Jacques Marigo, Bruno Lombard, et al.. Effective Resonant Model and Simulations in the Time-Domain of Wave Scattering from a Periodic Row of Highly-Contrasted Inclusions. Journal of Elasticity, Springer Verlag, 2020, 142 (1), pp.53-82. ⟨10.1007/s10659-020-09789-2⟩. ⟨hal-03083508⟩

Marie Touboul, Bruno Lombard, Cédric Bellis. Time-domain simulation of wave propagation across resonant meta-interfaces. Journal of Computational Physics, Elsevier, 2020, 414 (1). ⟨hal-02185076v2⟩

Cédric Bellis, Hervé Moulinec, Pierre Suquet. Eigendecomposition-based convergence analysis of the Neumann series for laminated composites and discretization error estimation. International Journal for Numerical Methods in Engineering, Wiley, 2020, 121 (2), pp.201-232. ⟨10.1002/nme.6206⟩. ⟨hal-02413035⟩

Rémi Cornaggia, Cédric Bellis. Tuning effective dynamical properties of periodic media by FFT-accelerated topological optimization. International Journal for Numerical Methods in Engineering, Wiley, 2020, ⟨10.1002/nme.6352⟩. ⟨hal-02311019v2⟩

Alexandre Hoffmann, Vadim Monteiller, Cédric Bellis. A penalty-free approach to PDE constrained optimization: Application to an inverse wave problem. Inverse Problems, IOP Publishing, In press. ⟨hal-02908126v2⟩

Cédric Bellis, Pierre Suquet. Geometric variational principles for computational homogenization. Journal of Elasticity, Springer Verlag, 2019, ⟨10.1007/s10659-018-09713-9⟩. ⟨hal-01935795⟩

C Dang, M Darnajou, C. Bellis, G Ricciardi, H. Schmidt, et al.. Numerical and experimental analysis of the correlation between EIT data eigenvalues and two-phase flow phase fraction. Measurement Science and Technology, IOP Publishing, 2019, 31 (1), pp.015302. ⟨10.1088/1361-6501/ab3d63⟩. ⟨hal-02357608⟩

Mathieu Darnajou, Antoine Dupre, Chunhui Dang, Guillaume Ricciardi, Salah Bourennane, et al.. On the Implementation of Simultaneous Multi-Frequency Excitations and Measurements for Electrical Impedance Tomography. Sensors, MDPI, 2019, ⟨10.3390/s19173679⟩. ⟨hal-02413012⟩

Houssam Abdoul-Anziz, Cédric Bellis, Pierre Seppecher. Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms. Mathematics and Mechanics of Solids, SAGE Publications, 2019, ⟨10.1177/ToBeAssigned⟩. ⟨hal-02065135v2⟩

Cédric Bellis, Bruno Lombard. Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields. Wave Motion, Elsevier, 2019, 86, pp.175-194. ⟨hal-02004847⟩

Cédric Bellis. Converting strain maps into elasticity maps for materials with small contrast. Journal of the Mechanics and Physics of Solids, Elsevier, 2017, 98, pp.411-428. ⟨10.1016/j.jmps.2016.07.006⟩. ⟨hal-01935842⟩

Cédric Bellis, Hervé Moulinec. A full-field image conversion method for the inverse conductivity problem with internal measurements. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2016, 472 (2187), ⟨10.1098/rspa.2015.0488⟩. ⟨hal-01323124⟩

Guillaume Bal, Cédric Bellis, Sébastien Imperiale, François Monard. Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements. Inverse Problems, IOP Publishing, 2014, 30, pp.125004. ⟨10.1088/0266-5611/30/12/125004⟩. ⟨hal-01090474⟩

C. Bellis, B. Holtzman. Sensitivity of seismic measurements to frequency-dependent attenuation and upper mantle structure: An initial approach. Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2014, 119 (7), ⟨10.1002/2013JB010831⟩. ⟨hal-01323112⟩

Abderrahmin Ben Jazia, Bruno Lombard, Cédric Bellis. Wave propagation in a fractional viscoelastic Andrade medium: diffusive approximation and numerical modeling. Wave Motion, Elsevier, 2014, 51 (6), pp.994-1010. ⟨10.1016/j.wavemoti.2014.03.011⟩. ⟨hal-00919673v2⟩

Cedric Bellis, Sébastien Imperiale. Dynamical 1D models of passive piezoelectric sensors. Mathematics and Mechanics of Solids, SAGE Publications, 2013, ⟨10.1177/1081286512469980⟩. ⟨hal-00875813⟩

Cedric Bellis, Sébastien Imperiale. Reciprocity identities for quasi-static piezoelectric transducer models: Application to cavity identification using iterated excitations and a topological sensitivity approach. Wave Motion, Elsevier, 2013. ⟨hal-00875812⟩

Cédric Bellis, Marc Bonnet, Fioralba Cakoni. Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals. Inverse Problems, IOP Publishing, 2013, pp.075012. ⟨10.1088/0266-5611/29/7/075012⟩. ⟨hal-00835030⟩

Cédric Bellis, Marc Bonnet. Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 253, pp.89-105. ⟨10.1016/j.cma.2012.10.006⟩. ⟨hal-00741515⟩

Cédric Bellis, Marc Bonnet, B. B. Guzina. Apposition of the topological sensitivity and linear sampling approaches to inverse scattering. Wave Motion, Elsevier, 2013, 50, pp.891-908. ⟨10.1016/j.wavemoti.2013.02.013⟩. ⟨hal-00797649⟩

C. Bellis, F. Cakoni, B. B. Guzina. Nature of the transmission eigenvalue spectrum for elastic bodies. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2013, 78 (5), pp.895-923. ⟨10.1093/imamat/hxr070⟩. ⟨hal-01323097⟩

Cédric Bellis, Andrei Constantinescu, Thomas Coquet, Thomas Jaravel, Armin Lechleiter. A non-iterative sampling approach using noise subspace projection for EIT. Inverse Problems, IOP Publishing, 2012, ⟨10.1088/0266-5611/28/7/075015⟩. ⟨hal-00757299⟩

Guzina Bojan, Fioralba Cakoni, Cédric Bellis. On the multi-frequency obstacle reconstruction via the linear sampling method. Inverse Problems, IOP Publishing, 2010. ⟨hal-01323072⟩

Cédric Bellis, Marc Bonnet. A FEM-based topological sensitivity approach for fast qualitative identification of buried cavities from elastodynamic overdetermined boundary data. International Journal of Solids and Structures, Elsevier, 2010, 47, pp.1221-1242. ⟨10.1016/j.ijsolstr.2010.01.011⟩. ⟨hal-00446550v2⟩

Cédric Bellis, B. B. Guzina. On the existence and uniqueness of a solution to the interior transmission problem for piecewise-homogeneous solids. Journal of Elasticity, Springer Verlag, 2010, in press. ⟨hal-00462117⟩

Cédric Bellis, Marc Bonnet. Crack identification by 3D time-domain elastic or acoustic topological sensitivity. Comptes Rendus Mécanique, Elsevier Masson, 2009, 337, pp.124-130. ⟨10.1016/j.crme.2009.03.015⟩. ⟨hal-00371796v3⟩

Houssam Abdoul-Anziz, Cédric Bellis, Pierre Seppecher. Homogenization of frame lattices leading to second gradient models coupling classical strain and strain gradient terms. ICoNSoM 2019, Jun 2019, Rome, Italy. ⟨hal-02305234⟩

Cédric Bellis, Rémi Cornaggia, Bruno Lombard. Topological optimization of periodic materials to enhance anisotropic dispersive effects. WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria. ⟨hal-02269821⟩

Cédric Bellis, Pierre Suquet. From strain maps to elastic properties of composite materials: the small contrast limit. IUTAM Symposium on Filling Gaps in Material Property Space, Mar 2016, Cambridge, United Kingdom. ⟨hal-01323329⟩

Cédric Bellis, Pierre Suquet. Converting strain maps into elasticity maps for materials with small contrast. XXIV ICTAM, Aug 2016, Montreal, Canada. ⟨hal-01323321⟩

Cédric Bellis, Pierre Suquet. Converting strain maps into elasticity maps for materials with small contrast. SIAM Conference on Mathematical Aspects of Materials Science, 2016, Philadelphia, United States. ⟨hal-01323324⟩

Cédric Bellis, Hervé Moulinec. Sur une méthode de conversion d'images de mesures de champs: Application au problème inverse de conductivité. 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France. ⟨hal-01515062⟩

Cédric Bellis, H. Moulinec. Sur une méthode de conversion d’images de mesures de champs : Application au problème inverse de conductivité. Colloque National en Calcul des Structures, May 2015, Giens, France. ⟨hal-01323313⟩

Cédric Bellis, H. Moulinec. A FFT-based numerical method to convert intensity maps into conductivity contrast maps. WAVES 2015, 2015, Karlsruhe, Germany. ⟨hal-01323319⟩

Cédric Bellis, Marc Bonnet, Fioralba Cakoni. Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals. Conference GDR 2015, Dec 2015, Aussois, France. ⟨hal-01323310⟩

Cédric Bellis, Marc Bonnet, Fioralba Cakoni. Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals. Workshop GOMS Problèmes inverses et domaines associés, 2015, 2015, Marseille, France. ⟨hal-01323316⟩

Abderrahmin Ben Jazia, Bruno Lombard, Cédric Bellis. Wave propagation in a fractional viscoelastic medium: diffusive approximation and numerical modeling. 9th International Conference on Mechanics of Time Dependent Materials, May 2014, Montréal, Canada. ⟨hal-01310406⟩

Bal G., Cédric Bellis, Sebastien Imperiale, François Monard. Reconstruction of elastic moduli from noisy full-field measurements. WCCM - ECCM, Jul 2014, Barcelone, Spain. ⟨hal-01323309⟩

Cédric Bellis, Marc Bonnet, Fioralba Cakoni. Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals. SIAM Conf. Imaging Science, May 2014, Hong-Kong, China. ⟨hal-01323305⟩

Cédric Bellis, Marc Bonnet, Fioralba Cakoni. Topological derivative for qualitative inverse scattering. Opening workshop of UCL Centre for Inverse Problems, Mar 2013, London, United Kingdom. ⟨hal-00833132⟩

Cédric Bellis, Andrei Constantinescu, Armin Lechleiter. A NON-ITERATIVE SAMPLING APPROACH USING NOISE SUBSPACE PROJECTION FOR EIT. Inverse Problems, Control and Shape Optimization, Apr 2012, Palaiseau, France. ⟨hal-01323296⟩

Cédric Bellis. Qualitative methods for inverse scattering in solid mechanics. GRACM International Congress on Computational Mechanics, Jun 2011, Athens, Greece. ⟨hal-01323219⟩

Cédric Bellis, Marc Bonnet. Identification de fissures dans des milieux homogènes ou bimatériaux par sensibilité topologique élastodynamique temporelle. 10e colloque national en calcul des structures, May 2011, Giens, France. pp.Clé USB. ⟨hal-00623154⟩

Cédric Bellis, Marc Bonnet. Identification de fissures dans des milieux homogènes ou bimatériaux par sensibilité topologique élastodynamique temporelle. 10e colloque national en calcul des structures, May 2011, Giens, France. 7 p. ; Clé USB. ⟨hal-00592820⟩

Cédric Bellis, Marc Bonnet. Identifying cracks in homogeneous and bimaterial bodies using 3D elastodynamic topological sensitivity. EURODYN, Jul 2011, Leuven, Belgium. ⟨hal-01323213⟩

Cédric Bellis, Marc Bonnet. Dynamical identification of cracks in 3D elastic bodies using topological sensitivity. U.S. National Congress on Computational Mechanics, Jul 2011, Minneapolis, United States. ⟨hal-01323225⟩

Cédric Bellis, Marc Bonnet. Wave-based crack imaging in elastic solids using 3D time-domain topological sensitivity. WAVES 2011, Jul 2011, Vancouver, Canada. ⟨hal-01323282⟩

Cédric Bellis, Marc Bonnet. Crack identification in elasticity using 3d time-domain topological derivative. European Conference on Computational Mechanics (ECCM 2010), 2010, France. ⟨hal-00496768⟩

Cédric Bellis, Marc Bonnet. Identification de fissures par la méthode de sensibilité topologique en élastodynamique temporelle. GDR ONDES - MSPC, Sep 2010, Paris, France. ⟨hal-01323186⟩

Cédric Bellis, B. B. Guzina. Interior transmission problem for piecewise-homogeneous solids. US National Congress of Theoretical and Applied Mechanics, Jun 2010, University Park, United States. ⟨hal-01323206⟩

Cédric Bellis, Marc Bonnet. Identification non itérative de défauts par la méthode de sensibilité topologique en élastodynamique temporelle. Neuvième Colloque National en Calcul des Structures, May 2009, France. pp.225--230. ⟨hal-00399709⟩

Cédric Bellis, Marc Bonnet. Non-iterative defect identification by topological sensitivity method. 9th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2009, Pau, France. ⟨hal-00399712⟩

Cédric Bellis, Marc Bonnet, B. B. Guzina. Méthodes numériques rapides non-itératives en diffraction inverse élastodynamique basées sur l'asymptotique topologique de fonctions coût. Réunion plénière ''Interférence d'ondes'' du GDR Ondes, Paris, 2009, France. ⟨hal-00473956⟩

Cédric Bellis, Marc Bonnet. A non-iterative FEM-based cavity identification method using topological sensitivity for 2D and 3D time domain elastodynamics. WCCM - ECCOMAS, Jun 2008, Venise, Italy. ⟨hal-01323162⟩

Cédric Bellis, Marc Bonnet. Identification de cavités par la méthode de sensibilité topologique en élastodynamique temporelle. GDR ONDES, Dec 2008, Paris, France. ⟨hal-01323156⟩

Cédric Bellis, P.-Y. P. Lin, Holtzman B., Gaherty J., Roy M.. Imaging the attenuation structure beneath the northwestern margin of Colorado Plateau: Integrating seismic body-wave observations and forward modeling. American Geophysical Union - Fall Meeting, Dec 2013, San Francisco, United States. ⟨hal-01323303⟩

P.-Y. P. Lin, Gaherty J., Holtzman B., Cédric Bellis, Roy M.. Body-wave attenuation imaging across the northwestern margin of the colorado plateau. American Geophysical Union - Fall Meeting, Dec 2012, San Francisco, United States. ⟨hal-01323290⟩

Cédric Bellis, Marc Bonnet. Qualitative Crack Identification by 3D Time-Domain Topological Sensitivity. Stability and Nonlinearity in Solid Mechanics: a symposium to honor Nguyen Quoc Son, Sep 2010, Paris, France. ⟨hal-01323199⟩

Cédric Bellis, B. B. Guzina. Interior Transmission Problem for Piecewise-Homogeneous Solids. MMNS Workshop on Inverse Problems for Waves: Methods and Applications , Mar 2010, Palaiseau, France. ⟨hal-01323170⟩

Cédric Bellis, B. B. Guzina. Solving the Interior Transmission Problem in Geophysical Imaging. IP-RPI Symposium on Inverse Problems and System Identification of GeoSystems, Mar 2010, Troy, United States. ⟨hal-01323191⟩

Cédric Bellis, Bruno Lombard, Marie Touboul, Raphaël Assier. Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces. 2020. ⟨hal-02957419⟩

Cédric Bellis. Qualitative Methods for Inverse Scattering in Solid Mechanics. Mechanics of the solides [physics.class-ph]. Ecole Polytechnique X, 2010. English. ⟨pastel-00557545⟩