Pierre Seppecher

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Publications

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A third-gradient 1D continuum obtained via asymptotic expansion from a micro-structure obtained constraining a sequence of modified Hart’s antiparallelograms

Nicola L Rizzi , Pierre Seppecher , Francesco Dell'Isola

Mathematics and Mechanics of Solids, 2026, 22 p. ⟨10.1177/10812865251386767⟩

Article dans une revue hal-05459683v1
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A Class of One Dimensional Periodic Microstructures Exhibiting Effective Timoshenko Beam Behavior

Jean-Jacques Alibert , Emilio Barchiesi , Francesco Dell’isola , Pierre Seppecher

ESAIM: Control, Optimisation and Calculus of Variations, 2023, 29, pp.53. ⟨10.1051/cocv/2023048⟩

Article dans une revue hal-04165376v1
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Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice

Houssam Abdoul-Anziz , Lukáš Jakabčin , Pierre Seppecher

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, ⟨10.1098/rspa.2020.0620⟩

Article dans une revue hal-02482837v1
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On periodic homogenization of highly contrasted elastic structures

Lukáš Jakabčin , Pierre Seppecher

Journal of the Mechanics and Physics of Solids, 2020, ⟨10.1016/j.jmps.2020.104104⟩

Article dans une revue hal-02379572v1
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Two-dimensional continua capable of large elastic extension in two independent directions: asymptotic homogenization, numerical simulations and experimental evidence

E. Barchiesi , F Dell'Isola , François Hild , Pierre Seppecher

Mechanics Research Communications, 2020, 103, pp.103466. ⟨10.1016/j.mechrescom.2019.103466⟩

Article dans une revue hal-02404383v1
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On the forces that cable webs under tension can support and how to design cable webs to channel stresses

Guy Bouchitté , Ornella Mattei , Graeme Milton , Pierre Seppecher

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019, 475 (2223), pp.20180781. ⟨10.1098/rspa.2018.0781⟩

Article dans une revue hal-02188481v1
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Large deformations of Timoshenko and Euler beams under distributed load

A. Della Corte , A. Battista , F. Dell'Isola , Pierre Seppecher

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2019, 70 (2), pp.52. ⟨10.1007/s00033-019-1098-y⟩

Article dans une revue hal-02269403v1
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Advances in Pantographic Structures: Design, Manufacturing, Models, Experiments and Image Analyses

Francesco Dell'Isola , Pierre Seppecher , Mario Spagnuolo , Emilio Barchiesi , François Hild et al.

Continuum Mechanics and Thermodynamics, 2019, 31 (4), pp.1231-1282. ⟨10.1007/s00161-019-00806-x⟩

Article dans une revue hal-02156824v1
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Pantographic metamaterials: an example of mathematically driven design and of its technological challenges

Francesco Dell'Isola , Pierre Seppecher , Jean-Jacques Alibert , Tomasz Lekszycki , Roman Grygoruk et al.

Continuum Mechanics and Thermodynamics, 2019, 31 (4), pp.851-884. ⟨10.1007/s00161-018-0689-8⟩

Article dans une revue hal-01829943v1
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Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms

Houssam Abdoul-Anziz , Cédric Bellis , Pierre Seppecher

Mathematics and Mechanics of Solids, 2019, ⟨10.1177/ToBeAssigned⟩

Article dans une revue hal-02065135v2
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Strain gradient and generalized continua obtained by homogenizing frame lattices

Houssam Abdoul-Anziz , Pierre Seppecher

Mathematics and Mechanics of Complex Systems, 2018, ⟨10.2140/memocs.2018.6.213⟩

Article dans une revue hal-01672898v2
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Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

A Battista , Alessandro Della Corte , F Dell 'Isola , Pierre Seppecher

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2018, ⟨10.1007/s00033-018-0946-5⟩

Article dans une revue hal-01625160v1
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Homogenization of periodic graph-based elastic structures

Houssam Abdoul-Anziz , Pierre Seppecher

Journal de l'École polytechnique — Mathématiques, 2018

Article dans une revue hal-01492589v3
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Temperature profile in a liquid-vapor interface near the critical point

Henri Gouin , Pierre Seppecher

Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2017, 473 (20170229), pp.1-13. ⟨10.1098/rspa.2017.0229⟩

Article dans une revue hal-01492802v2
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Cauchy Tetrahedron Argument applied to Higher Contact Interactions

F. Dell'Isola , A. Madeo , Pierre Seppecher

Archive for Rational Mechanics and Analysis, 2016, 219 (3), pp.1305-1341. ⟨10.1007/s00205-015-0922-6⟩

Article dans une revue hal-01060548v2
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The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results

F. Dell'Isola , Pierre Seppecher , A. Della Corte

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015, 471 (2183), 25 p

Article dans une revue hal-01226235v1

Optimal thin torsion rods and Cheeger sets

Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi , Pierre Seppecher

SIAM Journal on Mathematical Analysis, 2012, 44 (1), pp.483--512. ⟨10.1137/110828538⟩

Article dans une revue hal-01283189v1

A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density

Graeme Milton , Pierre Seppecher

physica status solidi (b), 2012, 249 (7), pp.1412--1414

Article dans une revue hal-01293275v1
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How contact interactions may depend on the shape of Cauchy cuts in N-th gradient continua: approach "à la D'Alembert

Francesco Dell'Isola , Pierre Seppecher , Angela Madeo

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2012, 63 (6), pp.1119-1141

Article dans une revue hal-00662376v1
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Linear elastic trusses leading to continua with exotic mechanical interactions

Pierre Seppecher , Jean-Jacques Alibert , Francesco Dell'Isola

Journal of Physics: Conference Series, 2011, 319 (1), 13 p

Article dans une revue hal-00630098v1
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Commentary about the paper " 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

Francesco Dell'Isola , Pierre Seppecher

Continuum Mechanics and Thermodynamics, 2011, 23 (5), pp.473-478. ⟨10.1007/s00161-010-0176-3⟩

Article dans une revue istex hal-00495800v1

Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach

Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher

Archive for Rational Mechanics and Analysis, 2011, 202 (3), pp.829-874. ⟨10.1007/s00205-011-0435-x⟩

Article dans une revue hal-01294103v1

The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions

Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher

Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.467--471. ⟨10.1016/j.crma.2010.01.006⟩

Article dans une revue hal-01283191v1

Numerical modelling of interfacial soil erosion with viscous incompressible flows

Frederic Golay , Damien Lachouette , Stéphane Bonelli , Pierre Seppecher

Computer Methods in Applied Mechanics and Engineering, 2010, 200 (1-4), pp.383-391. ⟨10.1016/j.cma.2010.09.002⟩

Article dans une revue istex hal-00979061v1
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Interfacial erosion: A three-dimensional numerical model

Frederic Golay , Damien Lachouette , Stéphane Bonelli , Pierre Seppecher

Comptes Rendus. Mécanique, 2010, 338 (6), pp.333-337

Article dans une revue hal-00528972v1
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Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach

Francesco Dell'Isola , Angela Madeo , Pierre Seppecher

International Journal of Solids and Structures, 2009, pp.28

Article dans une revue hal-00504035v1
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Closure of the Set of Diffusion Functionals - the One Dimensional Case

Jean-Jacques Alibert , Pierre Seppecher

Potential Analysis, 2008, 28 (4), pp.335-356

Article dans une revue hal-00527074v1
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Michell Trusses and Lines of Principal Action

Guy Bouchitté , Wilfrid Gangbo , Pierre Seppecher

Mathematical Models and Methods in Applied Sciences, 2008, 18 (9), pp.1571-1603

Article dans une revue hal-00528973v1

3D-2D analysis for the optimal elastic compliance problem

Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher

Comptes Rendus. Mathématique, 2007, 345 (12), pp.713--718. ⟨10.1016/j.crma.2007.10.039⟩

Article dans une revue istex hal-01283202v1
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Asymptotics of a non-planar rod in non-linear elasticity

Catherine Pideri , Pierre Seppecher

Asymptotic Analysis, 2006, 48 (1-2), pp.33-54

Article dans une revue hal-00527296v1

Determination of the Closure of the Set of Elasticity Functionals

M. Camar-Eddine , Pierre Seppecher

Archive for Rational Mechanics and Analysis, 2003, 170 (3), pp.211 - 245. ⟨10.1007/s00205-003-0272-7⟩

Article dans une revue istex hal-01665393v1
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Truss modular Beams with Deformation Energy depending on Higher Displacement Gradients

Jean-Jacques Alibert , Pierre Seppecher , Francesco Dell'Isola

Mathematics and Mechanics of Solids, 2003, pp.23

Article dans une revue hal-00497327v1

CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE

M. Camar-Eddine , Pierre Seppecher

Mathematical Models and Methods in Applied Sciences, 2002, 12 (08), pp.1153 - 1176. ⟨10.1142/S0218202502002069⟩

Article dans une revue hal-01665390v1

Non-local interactions resulting from the homogenization of a linear diffusive medium

Mohamed Camar-Eddine , Pierre Seppecher

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001, 332 (5), pp.485 - 490. ⟨10.1016/S0764-4442(01)01853-5⟩

Article dans une revue istex hal-01665389v1
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Line Tension Effect Upon Static Wetting

Pierre Seppecher

Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2001, 56 (1), pp.77-81. ⟨10.2516/ogst:2001009⟩

Article dans une revue hal-02053881v1
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Locking materials and the topology of optimal shapes

Frederic Golay , Pierre Seppecher

European Journal of Mechanics - A/Solids, 2001, 20 (4), pp.631-644

Article dans une revue hal-00528969v1

Regular approximation of free-discontinuity problems

Guy Bouchitté , C. Dubs , Pierre Seppecher

Mathematical Models and Methods in Applied Sciences, 2000, 10 (7), pp.1073--1097. ⟨10.1142/S0218202500000549⟩

Article dans une revue hal-01283223v1

Phase transition with the line-tension effect

Giovanni Alberti , Guy Bouchitté , Pierre Seppecher

Archive for Rational Mechanics and Analysis, 1998, 144 (1), pp.1--46. ⟨10.1007/s002050050111⟩

Article dans une revue istex hal-01283230v1
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Edge Contact Forces and Quasi-Balanced Power

Francesco Dell'Isola , Pierre Seppecher

Meccanica, 1997, pp.20

Article dans une revue hal-00494641v2

Un résultat d'homogénéisation pour un matériau élastique renforcé périodiquement par des fibres élastiques de très grande rigidité

Catherine Pideri , Pierre Seppecher

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, 1997, pp.475-481. ⟨10.1016/S1251-8069(97)80185-6⟩

Article dans une revue istex hal-01015994v1

Energies with respect to a measure and applications to low-dimensional structures

Guy Bouchitté , Giuseppe Buttazzo , Pierre Seppecher

Calculus of Variations and Partial Differential Equations, 1997, 5 (1), pp.37--54. ⟨10.1007/s005260050058⟩

Article dans une revue istex hal-01283232v1
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A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

Catherine Pideri , Pierre Seppecher

Continuum Mechanics and Thermodynamics, 1997, 9 (5), pp.241-257

Article dans une revue hal-00527291v1

Shape optimization solutions via Monge-Kantorovich equation

Guy Bouchitté , Giuseppe Buttazzo , Pierre Seppecher

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 324 (10), pp.1185--1191. ⟨10.1016/S0764-4442(97)87909-8⟩

Article dans une revue istex hal-01283235v1
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Moving contact lines in the Cahn-Hilliard theory

Pierre Seppecher

International Journal of Engineering Science, 1996, 34 (9), pp.977-992

Article dans une revue hal-00527283v1

Transitions de phases avec un potentiel dégénéré à l'infini, application à l'équilibre de petites gouttes

Guy Bouchitté , Christophe Dubs , Pierre Seppecher

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 323 (9), pp.1103--1108

Article dans une revue hal-01283478v1
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The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power

Francesco Dell'Isola , Pierre Seppecher

Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, physique, astronomie, 1995, pp.7

Article dans une revue hal-00494505v1
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Radius and surface tension of microscopic bubbles by second gradient theory

Francesco Dell'Isola , Henri Gouin , Pierre Seppecher

Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, 1995, 320, pp.5

Article dans une revue hal-00308860v1

Un résultat de perturbations singulières avec la norme H^1/2

Giovanni Alberti , Guy Bouchitté , Pierre Seppecher

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1994, 319 (4), pp.333--338

Article dans une revue hal-01283480v1

Un résultat de perturbations singulieres avec la norm H

Giovanni Alberti , Guy Bouchitté , Pierre Seppecher

CR Acad. Sci. Paris, Ser. I, 1994, 319, pp.333--338

Article dans une revue hal-01292609v1

Microscopic Interpretation of Strain-Gradient and Generalized Continuum Models

Pierre Seppecher

Mechanics of Strain Gradient Materials, 600, Springer International Publishing, pp.71-99, 2020, CISM International Centre for Mechanical Sciences, ⟨10.1007/978-3-030-43830-2_4⟩

Chapitre d'ouvrage hal-03464646v1

Least action and virtual work principles for the formulation of generalized continuum models

Pierre Seppecher , Francesco Dell'Isola , Luca Placidi , Emilio Barchiesi , Anil Misra

Discrete and Continuum Models for Complex Metamaterials, 1, Cambridge University Press, 2020, ⟨10.1017/9781316104262.010⟩

Chapitre d'ouvrage hal-03464512v1
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Higher Gradient Theories and Their Foundations

Francesco Dell'Isola , Pierre Seppecher , Alessandro Della Corte

Encyclopedia of Continuum Mechanics (2020 EDITION), pp.1090-1099, 2020

Chapitre d'ouvrage hal-02918379v2

Pantographic Metamaterial: A (Not So) Particular Case

Francesco Dell'Isola , Mario Spagnuolo , Emilio Barchiesi , Ivan Giorgio , Pierre Seppecher

Discrete and Continuum Models for Complex Metamaterials, 1, Cambridge University Press, 2020, ⟨10.1017/9781316104262.004⟩

Chapitre d'ouvrage hal-03464548v1
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A 1D Continuum Model for Beams with Pantographic Microstructure: Asymptotic Micro-Macro Identification and Numerical Results

Emilio Barchiesi , Francesco Dell'Isola , Marco Laudato , Luca Placidi , Pierre Seppecher

Advances in Mechanics of Microstructured Media and Structures , 87, pp 43-74, 2018, Advanced Structured Materials book series (STRUCTMAT), volume 87

Chapitre d'ouvrage hal-01817742v1

Convergence of {H}encky-type discrete beam model to {E}uler inextensible elastica in large deformation: rigorous proof

Jean-Jacques Alibert , Pierre Seppecher , Alessandro Della Corte

Mathematical modelling in solid mechanics, 2017

Chapitre d'ouvrage hal-02185451v1

Transformation elastodynamics and active exterior acoustic cloaking

Graeme W. Milton , D. Onofrei , Pierre Seppecher , Fernando Guevara Vasquez

Richard V. Craster, Sébastien Guenneau. Acoustic Metamaterials, 166, Springer Netherlands, pp.289-319, 2013, Springer Series in Materials Science, 9400748132, 9789400748132

Chapitre d'ouvrage hal-01307720v1
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Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media

Francesco Dell'Isola , Pierre Seppecher , Angela Madeo

Variational Models and Methods in Solid and Fluid Mechanics, Volume 535 of the series CISM Courses and Lectures , pp. 315-358, 2012

Chapitre d'ouvrage hal-00601626v1
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Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument.

Francesco Dell'Isola , Pierre Seppecher , Angela Madeo

Variational Models and Methods in Solid and Fluid Mechanics, Volume 535 of the series CISM Courses and Lectures, pp.17-106, 2012

Chapitre d'ouvrage hal-00601624v1

Boundary effects in phase transitions

Giovanni Alberti , Guy Bouchitté , Pierre Seppecher

Curvature flows and related topics (Levico, 1994), 5, Gakkōtosho, Tokyo, pp.1--11, 1995, GAKUTO Internat. Ser. Math. Sci. Appl

Chapitre d'ouvrage hal-01283241v1

Cahn and Hilliard fluid on an oscillating boundary

Guy Bouchitté , Pierre Seppecher

Motion by mean curvature and related topics (Trento, 1992), de Gruyter, Berlin, pp.23--42, 1994

Chapitre d'ouvrage hal-01283442v1
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Etude d'une modelisation des zones capillaires fluides: Interfaces et lignes de contact

Pierre Seppecher

Mécanique [physics.med-ph]. Ecole Nationale Superieure de Techniques Avancees, 1987. Français. ⟨NNT : ⟩

Thèse tel-00522117v1
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Les fluides de Cahn-Hilliard

Pierre Seppecher

Mécanique [physics.med-ph]. Université du Sud Toulon Var, 1996

HDR tel-00522242v1