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Journal articles45 documents

  • E. Barchiesi, F Dell'isola, François Hild, Pierre Seppecher. Two-dimensional continua capable of large elastic extension in two independent directions: asymptotic homogenization, numerical simulations and experimental evidence. Mechanics Research Communications, Elsevier, 2020, 103, pp.103466. ⟨10.1016/j.mechrescom.2019.103466⟩. ⟨hal-02404383⟩
  • Guy Bouchitté, Ornella Mattei, Graeme Milton, Pierre Seppecher. On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2019, 475 (2223), pp.20180781. ⟨10.1098/rspa.2018.0781⟩. ⟨hal-02188481⟩
  • 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⟩
  • Francesco Dell'isola, Pierre Seppecher, Mario Spagnuolo, Emilio Barchiesi, François Hild, et al.. Advances in Pantographic Structures: Design, Manufacturing, Models, Experiments and Image Analyses. Continuum Mechanics and Thermodynamics, Springer Verlag, 2019, 31 (4), pp.1231-1282. ⟨10.1007/s00161-019-00806-x⟩. ⟨hal-02156824⟩
  • Francesco Dell 'Isola, Pierre Seppecher, Jean-Jacques Alibert, Tomasz Lekszycki, Roman Grygoruk, et al.. Pantographic metamaterials: an example of mathematically-driven design and of its technological challenges. Continuum Mechanics and Thermodynamics, Springer Verlag, 2019, 31 (4), pp.851-884. ⟨10.1007/s00161-018-0689-8⟩. ⟨hal-01808115⟩
  • A. Corte, A. Battista, F. Dell'Isola, Pierre Seppecher. Large deformations of Timoshenko and Euler beams under distributed load. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2019, 70 (2), pp.52. ⟨10.1007/s00033-019-1098-y⟩. ⟨hal-02269403⟩
  • Houssam Abdoul-Anziz, Pierre Seppecher. Homogenization of periodic graph-based elastic structures. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2018. ⟨hal-01492589v3⟩
  • Houssam Abdoul-Anziz, Pierre Seppecher. Strain gradient and generalized continua obtained by homogenizing frame lattices. Mathematics and Mechanics of Complex Systems, mdp, 2018, ⟨10.2140/memocs.2018.6.213⟩. ⟨hal-01672898v2⟩
  • Francesco Dell'Isola, Pierre Seppecher, Jean-Jacques Alibert, Tomasz Lekszycki, Roman Grygoruk, et al.. Pantographic metamaterials: an example of mathematically driven design and of its technological challenges. Continuum Mechanics and Thermodynamics, Springer Verlag, 2018, pp.1-34. ⟨hal-01829943⟩
  • Henri Gouin, Pierre Seppecher. Temperature profile in a liquid-vapor interface near the critical point. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2017, 473 (20170229), pp.1-13. ⟨10.1098/rspa.2017.0229⟩. ⟨hal-01492802v2⟩
  • F. Dell'Isola, A. Madeo, Pierre Seppecher. Cauchy Tetrahedron Argument applied to Higher Contact Interactions. Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 219 (3), pp.1305-1341. ⟨10.1007/s00205-015-0922-6⟩. ⟨hal-01060548v2⟩
  • F. Dell'Isola, Pierre Seppecher, A. Della Corte. The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2015, 471 (2183), 25 p. ⟨hal-01226235⟩
  • Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi, Pierre Seppecher. Optimal thin torsion rods and Cheeger sets. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2012, 44 (1), pp.483--512. ⟨10.1137/110828538⟩. ⟨hal-01283189⟩
  • Graeme Milton, Pierre Seppecher. A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density. physica status solidi (b), Wiley, 2012, 249 (7), pp.1412--1414. ⟨hal-01293275⟩
  • Francesco Dell'Isola, Pierre Seppecher, Angela Madeo. How contact interactions may depend on the shape of Cauchy cuts in N-th gradient continua: approach "à la D'Alembert". Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2012, 63 (6), pp.1119-1141. ⟨hal-00662376⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach. Archive for Rational Mechanics and Analysis, Springer Verlag, 2011, 202 (3), pp.829-874. ⟨10.1007/s00205-011-0435-x⟩. ⟨hal-01294103⟩
  • Francesco Dell'Isola, Pierre Seppecher. Commentary about the paper " Hypertractions and hyperstresses convey the same mechanical information Continuum Mech. Thermodyn. (2010) 22:163–176 " by Prof. Podio Guidugli and Prof. Vianello and some related papers on higher gradient theories. Continuum Mechanics and Thermodynamics, Springer Verlag, 2011, 23 (5), pp.473-478. ⟨10.1007/s00161-010-0176-3⟩. ⟨hal-00495800⟩
  • Pierre Seppecher, Jean-Jacques Alibert, Francesco Dell'Isola. Linear elastic trusses leading to continua with exotic mechanical interactions. Journal of Physics: Conference Series, IOP Publishing, 2011, 319 (1), 13 p. ⟨hal-00630098⟩
  • Frederic Golay, Damien Lachouette, Stéphane Bonelli, Pierre Seppecher. Interfacial erosion: A three-dimensional numerical model. Comptes Rendus Mécanique, Elsevier Masson, 2010, 338 (6), pp.333-337. ⟨hal-00528972⟩
  • Frederic Golay, Damien Lachouette, Stéphane Bonelli, Pierre Seppecher. Numerical modelling of interfacial soil erosion with viscous incompressible flows. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2010, 200 (1-4), pp.383-391. ⟨10.1016/j.cma.2010.09.002⟩. ⟨hal-00979061⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (7-8), pp.467--471. ⟨10.1016/j.crma.2010.01.006⟩. ⟨hal-01283191⟩
  • Francesco Dell'Isola, Angela Madeo, Pierre Seppecher. Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach. International Journal of Solids and Structures, Elsevier, 2009, pp.28. ⟨hal-00504035⟩
  • Guy Bouchitté, Wilfrid Gangbo, Pierre Seppecher. Michell Trusses and Lines of Principal Action. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18 (9), pp.1571-1603. ⟨hal-00528973⟩
  • Jean-Jacques Alibert, Pierre Seppecher. Closure of the Set of Diffusion Functionals - the One Dimensional Case. Potential Analysis, Springer Verlag, 2008, 28 (4), pp.335-356. ⟨hal-00527074⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. 3D-2D analysis for the optimal elastic compliance problem. Comptes Rendus Mathématique, Elsevier Masson, 2007, 345 (12), pp.713--718. ⟨10.1016/j.crma.2007.10.039⟩. ⟨hal-01283202⟩
  • Catherine Pideri, Pierre Seppecher. Asymptotics of a non-planar rod in non-linear elasticity. Asymptotic Analysis, IOS Press, 2006, 48 (1-2), pp.33-54. ⟨hal-00527296⟩
  • M. Camar-Eddine, Pierre Seppecher. Determination of the Closure of the Set of Elasticity Functionals. Archive for Rational Mechanics and Analysis, Springer Verlag, 2003, 170 (3), pp.211 - 245. ⟨10.1007/s00205-003-0272-7⟩. ⟨hal-01665393⟩
  • Jean-Jacques Alibert, Pierre Seppecher, Francesco Dell'Isola. Truss modular Beams with Deformation Energy depending on Higher Displacement Gradients. Mathematics and Mechanics of Solids, SAGE Publications, 2003, pp.23. ⟨hal-00497327⟩
  • M. Camar-Eddine, Pierre Seppecher. CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2002, 12 (08), pp.1153 - 1176. ⟨10.1142/S0218202502002069⟩. ⟨hal-01665390⟩
  • Mohamed Camar-Eddine, Pierre Seppecher. Non-local interactions resulting from the homogenization of a linear diffusive medium. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 2001, 332 (5), pp.485 - 490. ⟨10.1016/S0764-4442(01)01853-5⟩. ⟨hal-01665389⟩
  • Pierre Seppecher. Line Tension Effect Upon Static Wetting. Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2001, 56 (1), pp.77-81. ⟨10.2516/ogst:2001009⟩. ⟨hal-02053881⟩
  • Frederic Golay, Pierre Seppecher. Locking materials and the topology of optimal shapes. European Journal of Mechanics - A/Solids, Elsevier, 2001, 20 (4), pp.631-644. ⟨hal-00528969⟩
  • Guy Bouchitté, C. Dubs, Pierre Seppecher. Regular approximation of free-discontinuity problems. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2000, 10 (7), pp.1073--1097. ⟨10.1142/S0218202500000549⟩. ⟨hal-01283223⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Phase transition with the line-tension effect. Archive for Rational Mechanics and Analysis, Springer Verlag, 1998, 144 (1), pp.1--46. ⟨10.1007/s002050050111⟩. ⟨hal-01283230⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Pierre Seppecher. Shape optimization solutions via Monge-Kantorovich equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1997, 324 (10), pp.1185--1191. ⟨10.1016/S0764-4442(97)87909-8⟩. ⟨hal-01283235⟩
  • Catherine Pideri, Pierre Seppecher. Un résultat d'homogénéisation pour un matériau élastique renforcé périodiquement par des fibres élastiques de très grande rigidité. Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, 1997, pp.475-481. ⟨10.1016/S1251-8069(97)80185-6⟩. ⟨hal-01015994⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Pierre Seppecher. Energies with respect to a measure and applications to low-dimensional structures. Calculus of Variations and Partial Differential Equations, Springer Verlag, 1997, 5 (1), pp.37--54. ⟨10.1007/s005260050058⟩. ⟨hal-01283232⟩
  • Francesco Dell'Isola, Pierre Seppecher. Edge Contact Forces and Quasi-Balanced Power. Meccanica, Springer Verlag, 1997, pp.20. ⟨hal-00494641v2⟩
  • Catherine Pideri, Pierre Seppecher. A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium. Continuum Mechanics and Thermodynamics, Springer Verlag, 1997, 9 (5), pp.241-257. ⟨hal-00527291⟩
  • Guy Bouchitté, Christophe Dubs, Pierre Seppecher. Transitions de phases avec un potentiel dégénéré à l'infini, application à l'équilibre de petites gouttes. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1996, 323 (9), pp.1103--1108. ⟨hal-01283478⟩
  • Pierre Seppecher. Moving contact lines in the Cahn-Hilliard theory. International Journal of Engineering Science, Elsevier, 1996, 34 (9), pp.977-992. ⟨hal-00527283⟩
  • Francesco Dell'Isola, Henri Gouin, Pierre Seppecher. Radius and surface tension of microscopic bubbles by second gradient theory. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 1995, 320, pp.5. ⟨hal-00308860⟩
  • Francesco Dell'Isola, Pierre Seppecher. The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, physique, astronomie, centre Mersenne, 1995, pp.7. ⟨hal-00494505⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Un résultat de perturbations singulières avec la norme H^1/2. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1994, 319 (4), pp.333--338. ⟨hal-01283480⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Un résultat de perturbations singulieres avec la norm H. CR Acad. Sci. Paris, Ser. I, 1994, 319, pp.333--338. ⟨hal-01292609⟩

Conference papers5 documents

  • 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⟩
  • Houssam Abdoul-Anziz, Pierre Seppecher. Homogenization results leading to generalized continua models. CANUM 2018, May 2018, Cap d'Agde, France. ⟨hal-02305232⟩
  • Houssam Abdoul-Anziz, Pierre Seppecher. Continua models with strain gradient energy obtained by rigorous homogenization. ESMC 2018, Jul 2018, Bologne, Italy. ⟨hal-02305233⟩
  • Houssam Abdoul-Anziz, Pierre Seppecher. Homogenization of periodic elastic structures leading to second gradient effects. EUROMECH-Colloquium 579, Apr 2017, Arpino, Italy. ⟨hal-02305230⟩
  • Frederic Golay, Damien Lachouette, Stéphane Bonelli, Pierre Seppecher, Cedric Galusinski. Interfacial erosion: a three-dimensional numerical model. Euro Mediterranean Symposium On Advances in Geomaterial and Structures , May 2010, Djerba, Tunisia. ⟨hal-01281027⟩

Books1 document

  • Samuel Forest, Gianpietro del Piero, Pierre Seppecher. Mécanique des milieux continus généralisés . Cepadues, 2017, 2364936098. ⟨hal-01631775⟩

Book sections8 documents

  • Francesco Dell'Isola, Pierre Seppecher, Alessandro Della Corte. Higher Gradient Theories and Their Foundations. Encyclopedia of Continuum Mechanics (2020 EDITION), pp.1090-1099, 2020. ⟨hal-02918379v2⟩
  • Emilio Barchiesi, Francesco Dell'Isola, Marco Laudato, Luca Placidi, Pierre Seppecher. A 1D Continuum Model for Beams with Pantographic Microstructure: Asymptotic Micro-Macro Identification and Numerical Results. Advances in Mechanics of Microstructured Media and Structures , 87, pp 43-74, 2018, Advanced Structured Materials book series (STRUCTMAT), volume 87. ⟨hal-01817742⟩
  • Jean-Jacques Alibert, Pierre Seppecher, Alessandro Della Corte. Convergence of {H}encky-type discrete beam model to {E}uler inextensible elastica in large deformation: rigorous proof. Mathematical modelling in solid mechanics, 2017. ⟨hal-02185451⟩
  • Graeme W. Milton, D. Onofrei, Pierre Seppecher, Fernando Guevara Vasquez. Transformation elastodynamics and active exterior acoustic cloaking. Richard V. Craster, Sébastien Guenneau. Acoustic Metamaterials, 166, Springer Netherlands, pp.289-319, 2013, Springer Series in Materials Science, 9400748132, 9789400748132. ⟨hal-01307720⟩
  • Francesco Dell'Isola, Pierre Seppecher, Angela Madeo. Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media. Variational Models and Methods in Solid and Fluid Mechanics, Volume 535 of the series CISM Courses and Lectures , pp. 315-358, 2012. ⟨hal-00601626⟩
  • Francesco Dell'Isola, Pierre Seppecher, Angela Madeo. Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument.. Variational Models and Methods in Solid and Fluid Mechanics, Volume 535 of the series CISM Courses and Lectures, pp.17-106, 2012. ⟨hal-00601624⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Boundary effects in phase transitions. Curvature flows and related topics (Levico, 1994), 5, Gakkōtosho, Tokyo, pp.1--11, 1995, GAKUTO Internat. Ser. Math. Sci. Appl. ⟨hal-01283241⟩
  • Guy Bouchitté, Pierre Seppecher. Cahn and Hilliard fluid on an oscillating boundary. Motion by mean curvature and related topics (Trento, 1992), de Gruyter, Berlin, pp.23--42, 1994. ⟨hal-01283442⟩

Preprints, Working Papers, ...7 documents

  • Houssam Abdoul-Anziz, Lukáš Jakabčin, Pierre Seppecher. Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice. 2020. ⟨hal-02482837⟩
  • Lukáš Jakabčin, Pierre Seppecher. On periodic homogenization of highly contrasted elastic structures. 2019. ⟨hal-02379572⟩
  • A. Bersani, F. Dell'Isola, Pierre Seppecher. Lagrange multipliers in infinite dimensional spaces, examples of application. 2019. ⟨hal-02269765⟩
  • A Battista, Alessandro Della Corte, F Dell 'Isola, Pierre Seppecher. Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams. 2017. ⟨hal-01625160⟩
  • Graeme W. Milton, Pierre Seppecher. Hybrid electromagnetic circuits. 2010. ⟨hal-00523086⟩
  • Graeme W. Milton, Pierre Seppecher, Guy Bouchitté. Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency. 2010. ⟨hal-00523225⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. Structural optimization of thin elastic plates: the three dimensional approach. 2010. ⟨hal-00528976⟩

Theses1 document

  • Pierre Seppecher. Etude d'une modelisation des zones capillaires fluides: Interfaces et lignes de contact. Mécanique [physics.med-ph]. Ecole Nationale Superieure de Techniques Avancees, 1987. Français. ⟨tel-00522117⟩

Habilitation à diriger des recherches1 document

  • Pierre Seppecher. Les fluides de Cahn-Hilliard. Mécanique [physics.med-ph]. Université du Sud Toulon Var, 1996. ⟨tel-00522242⟩