Pierre Seppecher

Papers

  • Cauchy Tetrahedron Argument Applied to Higher Contact Interactions, F dell’Isola, P Seppecher, A Madeo, Archive for Rational Mechanics and Analysis, Vol 219, N° 3, pp 1305-1341, 2016.
  • The postulations à la D’Alembert and à la Cauchy for higher gradient continuum theories are equivalent: a review of existing results, Dell’Isola, F., P. Seppecher, A. Della Corte, Proc. R. Soc. A. Vol. 471. No. 2183, 2015.
  • Transformation elastodynamics and active exterior acoustic cloaking, F. G., G. W. Milton, D. Onofrei and P. Seppecher, in Acoustic Metamaterials, Negative Refraction, Imaging, Lensing and Cloaking, Springer Series in Materials Science, Vol. 166, p. 289-319, 2013.
  • Optimal thin torsion rods and Cheeger sets, G. Bouchitté, I. Fragala, P. Seppecher, SIAM J. Math. Anal. 44, pp. 483-512, 2012.
  • Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media F dell’Isola, P Seppecher, A Madeo Variational Models and Methods in Solid and Fluid Mechanics, Springer Vienna, 315-358, 2012.
  • How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach "à la D’Alembert" F dell’Isola, P Seppecher, A Madeo, Zeitschrift für angewandte Mathematik und Physik 63 (6), 1119-1141, 2012.
  • A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density, G. Milton and P. Seppecher, Phys. Status Solidi B, 13 (2012).
  • Beyond Euler-Cauchy Continua: The structure of contact actions in N- th gradient generalized continua: a generalization of the Cauchy tetra- hedron argument, F. dell'Isola and P. Seppecher and A. Madeo, Variational Models and Methods in Solid and Fluid Mechanics CISM Courses and Lectures Volume 535, pp 17-106, 2011.
  • Linear elastic trusses leading to continua with exotic mechanical interactions, J-J. Alibert, F. dell Isola, P. Seppecher, Continuum Models and Discrete Systems Symposia , editeur(s): IOPscience , J. Phys.: Conf. Ser. 319, 2011, p. 1-13, 2011.
  • Commentary on \Hypertractions and hyperstresses convey the same mechanical information Continuum Mech. Thermodyn. (2010) 22:163176 by Prof. Podio Guidugli and Prof. Vianello and some related papers on higher gradient theories, F. dellIsola and P. Seppecher, Continuum Mech. Thermodyn. (2011).
  • Structural optimization of thin elastic plates: the three dimensional approach, G. Bouchitté, I. Fragala, P. Seppecher, Archive for Rational Mechanics and Analysis 202, Issue 3, p. 829-874, 2011.
  • Numerical modelling of interfacial soil erosion with viscous incompress- ible ows, F. Golay, D. Lachouette, S. Bonelli, P. Seppecher, Comput. Methods Appl. Mech. Engrg. 200, P. 383391, 2011.
  • Interfacial erosion: A three-dimensional numerical model, F. Golay, D. Lachouette, S. Bonelli, P. Seppecher, C. R. Acad. Sci. Paris, Mecanique 338, p. 333-337, 2010.
  • The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions, G. Bouchitte, I. Fragala, P. Seppecher, C.R. Acad. Sci. Paris, Ser. I, 348, Issues 7-8, p. 467-471, 2010.
  • Hybrid electromagnetic circuits, Graeme W. Milton and Pierre Seppecher, Physica B: Condensed Matter, 405, Issue 14, p. 2935-2937, 2010.
  • Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: A Variational Approach,, A. Madeo, F. dell'Isola, P. Seppecher, International Journal of Solids and Structures, 46, p.3150-3164, 2009.
  • Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency, G. Bouchitté, G. Milton and P. Seppecher, Proc. R. Soc. A (2009) 465, pp 367-396.
  • Michell trusses and lines of principal action, G. Bouchitté, W. Gangbo, P. Seppecher, Mathematical Models and Methods in Applied Sciences Vol. 18, No. 9 (2008) pp 1571-1603.
  • Realizable response matrices of multiterminal electrical, acoustic and elastodynamic networks at a given frequency, G. Milton and P. Seppecher, Proc. R. Soc. A, 464, pp 967-986, 2008.
  • 3D-2D analysis for the optimal elastic compliance problem, G. Bouchitté, I. Fragala, P. Seppecher, C.R. Acad. Sci. Paris, Ser. I 345 (2007) 713-718.
  • Asymptotics of a non-planar rod in non linear elasticity, P. Seppecher, C. Pideri, Asymtotic Analysis 48, pp 33-54, 2006.
  • Asymptotics of a non-planar beam in linear elasticity, P. Seppecher, C. Pideri., preprint ANAM-Toulon no 2005-10, 2005.
  • Closure of the set of diffusion functionals - the one dimensional case., J.J. Alibert and P. Seppecher, Potential Analysis, no 28 pp335-356, 2008.
  • Determination of the closure of the set of elasticity functionals, M. Camar-Eddine, P. Seppecher, Arch. Ration. Mech. Anal., 170 - 3, p. 211 - 245, 2003.
  • Closure of the set of diffusion functionals with respect to the Mosco-convergence. , M. Camar-Eddine, P. Seppecher, Mathematical Models and Methods in Applied Sciences, Vol. 12, No. 8, p. 1153-1176, 2002.
  • Truss modular beams with deformation energy depending on higher displacement gradients, J-J. Alibert, F. dell'Isola, P. Seppecher, Mathematics and Mechanics of solids, Vol 8, Issue 1, p. 51 - 74, 2003.
  • Non-local interactions resulting from the homogenization of a linear diffusive medium, M. Camar-Eddine, P. Seppecher, C.R.Acad.Sci., t. 332, sérieI, p. 485-490, 2001.
  • Locking materials and the topology of optimal shapes, F. Golay, P. Seppecher, Eur. J. Mech. A/Solids 20, pp. 631-644, 2001.
  • Line Tension Effect upon Static Wetting, P. Seppecher, Oil and Gas Science and Technology- Rev. IFP, vol 56, No. 1, pp 77-81, 2001.
  • Second-gradient theory : application to Cahn-Hilliard fluids, P. Seppecher, in Continuum Thermomechanics : The Art and Science of Modeling Matter's Behaviour, Kluwer (Dordrecht), G.A. Maugin et al. (eds.), pp. 43-54, 2000
  • Regular Approximation of Free-Discontinuity Problems, G. Bouchitté, C.Dubs and P. Seppecher, Mathematical Models and methods in Applied Sciences, vol. 10, No. 7, pp 1073-1097, 2000.
  • Phase transition with the line tension effect, G. Alberti, G. Bouchitté, P. Seppecher, Arch. Rational Mech. Anal. 144, P. 1-46, 1998.
  • A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium,C. Pideri et P. Seppecher, Continuum Mech.and Thermodyn., 9, p. 241-257, 1997.
  • Un résultat d'homogénéisation pour un matériau élastique renforcé périastique renforcé périodiquement par des fibres élastiques de très grande rigidité, C. Pideri et P. Seppecher, C.R.Acad.Sci. Paris, t. 324, Série IIb, p. 475-481, 1997.
  • Shape Optimization Solutions via Monge-Kantorovich Equation, G. Buttazzo, G. Bouchitté, P. Seppecher, C.R.Acad.Sci, t. 324, série I, p. 1185-1191, 1997.
  • Edge Contact Forces and Quasi-Balanced Power, F.dell'Isola and P.Seppecher, Meccanica, 32, p. 33-52, 1997.
  • Energies with respect to a measure and applications to low dimensional structures, G. Buttazzo, G. Bouchitté, P. Seppecher, Calc. Var. 5, p. 37-54, 1997.
  • Transitions de phases avec un potentiel dégénéré à l'infini, application à l'équilibre de petites gouttes, G.Bouchitté, C. Dubs et P. Seppecher, C.R.Acad.Sci., t. 323, série I, p. 1103-1108, 1996.
  • Moving contact line in the Cahn-Hilliard theory, P. Seppecher, Int. J. Engng. Sci. Vol 34., No 9, p.977-992. p.977-992.
  • The relationship between edge contact forces and intersticial working allowed by the principle of virtual power, F.dell'Isola and P.Seppecher, C.R.Acad.Sci., t. 321, série IIb, p. 303-308, 1995.
  • Radius and surface tension of microscopic bubbles by second gradient theory, F.dell'Isola, H.Gouin and P.Seppecher, C.R.Acad.Sci, t.320, Série IIb, p. 211-216, 1995.
  • Un résultat de perturbations singulières avec la norme H1/2, G.Alberti, G.Bouchitté and P.Seppecher, C.R.Acad.Sci., t.319, Série I, p. 333-33 t.319, Série I, p. 333-338, 1994.
  • Cahn and Hilliard fluid on an oscillating boundary, G.Bouchitté and P.Seppecher, Motion by Mean Curvature, de Gruyter Ed., p. 23-42, 1992.
  • Equilibrium of a Cahn and Hilliard fluid on a wall: Influence of the wetting properties of the fluid upon the stability of a thin liquid film, P. Seppecher, European Journal of Mechanics B/Fluids, 12, n.1, p.69-84, 1993.
  • Etude des conditions aux limites en théorie du second gradient : cas de la capillarité, P.Seppecher, C.R.Acad.Sci., t. 309, Série II, p. 497-502, 1989.
  • Thermodynamique des zones capillaires, P. Seppecher, Annales de Physique, vol. 13, p 13-22, 1988.
  • Modelisation of fluid-fluid interfaces with material properties, R. Gatignol and P. Seppecher, Journal de Mécanique Théorique et Appliquée, Numero Spécial 1986 p. 225-247