Jean-Jacques Marigo

H Ferdjani, R Abdelmoula, J J Marigo, S El Borgi (2009) Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading Continuum Mechanics and Thermodynamics 21: 1. 41-55 06

Abstract: Abstract The main objective of this work is to prove that, with the Dugdale model, the small size defects, comparatively to the material characteristic length, are practically without influence on the limit load of structures. For that, we treat the case of a crack in a semi-infinite plane under anti-plane shear loading. Using integral transforms, the elasticity equations are converted analytically into a singular integral equation. The singular integral equation is solved numerically using Chebychev polynomials. Special care is needed to take into account the presence of jump discontinuities in the loading distribution along the crack lips.

Notes:

Abstract: A bifurcation and stability analysis is carried out here for a bar made of a material obeying a gradient damage model with softening. We show that the associated initial boundary-value problem is ill posed and one should expect mesh sensitivity in numerical solutions. However, in contrast to what happens for the underlying local damage model, the damage localization zone has a finite thickness and stability arguments can help in the selection of solutions.


Books

2008	B Bourdin, G A Francfort, J J Marigo (2008) The variational approach to fracture Springer Abstract: Notes:
Journal articles

2009	DOI R Abdelmoula, J J Marigo, T Weller (2009) Construction of a fatigue law from a cohesive force model : the mode III case Comptes Rendus Mécanique 337: 53–59. Abstract: Notes:
	H Ferdjani, R Abdelmoula, J J Marigo, S El Borgi (2009) Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading Continuum Mechanics and Thermodynamics 21: 1. 41-55 06 Abstract: Abstract The main objective of this work is to prove that, with the Dugdale model, the small size defects, comparatively to the material characteristic length, are practically without influence on the limit load of structures. For that, we treat the case of a crack in a semi-infinite plane under anti-plane shear loading. Using integral transforms, the elasticity equations are converted analytically into a singular integral equation. The singular integral equation is solved numerically using Chebychev polynomials. Special care is needed to take into account the presence of jump discontinuities in the loading distribution along the crack lips. Notes:
	DOI H Amor, J J Marigo, C Maurini (2009) Variational approach to brittle approach with unilateral contact : numerical experiments Journal of the Mechanics and Physics of Solids 57: 8. 1209-1229 August Abstract: Notes:
	A Chambolle, G A Francfort, J J Marigo (2009) When and how do cracks propagate? J. Mech. Phys. Solids Abstract: Notes:
	J J Marigo (2009) Initiation of cracks in Griffith’s theory : an argument of continuity in favor of Francfort-Marigo’s criterion submitted Abstract: Notes:

	DOI R Abdelmoula, J J Marigo, T Weller (2009) Construction des lois de fatigue à partir de modèles de forces cohésives : cas de fissures en mode I Comptes Rendus Mécanique 337: 166-172 Abstract: Notes:
2008	Y Capdeville, J J Marigo (2008) Shallow layer correction for Spectral Element like methods Geophysical Journal International 172: 3. 1135-1150 Abstract: Notes:
	B Bourdin, G A Francfort, J J Marigo (2008) The variational approach to fracture J. Elasticity 91: 1–3. 5-148 Abstract: Notes:
	Y Capdeville, J J Marigo (2008) Shallow layer correction for Spectral Element like methods Geophysical Journal International 172: 3. 1135-1150 Abstract: Notes:
	Miguel Charlotte, Pierre-Emmanuel Dumouchel, Jean-Jacques Marigo (2008) Dynamic fracture : an example of convergence towards a discontinuous quasi-static solution Contin. Mech. Thermodyn. 20: 1-19 Abstract: Notes:
	A Chambolle, G A Francfort, J J Marigo (2008) Revisiting energy release rates in brittle fracture submitted Abstract: Notes:
	Hichème Ferdjani, Mohamed Zaim Khelifi, Jean-Jacques Marigo (2008) Etude de l’influence des défauts de petite taille sur le comportement à rupture avec le modèle de Dugdale régularisé Revue européenne de mécanique numérique 17: 4. 481-494 Abstract: Notes:
2007	A Benallal, J J Marigo (2007) Bifurcation and stability issues in gradient theories with softening Modelling and Simulation in Materials Science and Engineering 15: 1. Abstract: A bifurcation and stability analysis is carried out here for a bar made of a material obeying a gradient damage model with softening. We show that the associated initial boundary-value problem is ill posed and one should expect mesh sensitivity in numerical solutions. However, in contrast to what happens for the underlying local damage model, the damage localization zone has a finite thickness and stability arguments can help in the selection of solutions. Notes:
	Hichème Ferdjani, Radhi Abdelmoula, Jean-Jacques Marigo (2007) Insensitivity to small defects of the rupture of materials governed by the Dugdale model Contin. Mech. Thermodyn. 19: 191-210 Abstract: Notes:
	Yann Capdeville, Jean-Jacques Marigo (2007) Homogenization of the wave equation for non-periodic layered media Geophysical Journal International 170: 823-838 Abstract: Notes:

	Pierre-Emmanuel Dumouchel, Jean-Jacques Marigo, Miguel Charlotte (2007) Rupture dynamique et fissuration quasi-statique instable Comptes Rendus Mécanique 335: 708-713 Abstract: Notes:
2006	Hichème Ferdjani, Radhi Abdelmoula, Jean-Jacques Marigo (2006) Étude de l’influence des défauts de petite taille sur le comportement à rupture avec le modèle de Dugdale Revue européenne de mécanique numérique 15: 4. 409-425 Abstract: Notes:
	Miguel Charlotte, Jerome Laverne, Jean-Jacques Marigo (2006) Initiation of cracks with cohesive force models : a variational approach European Journal of Mechanics - A/Solids 25: 4. 649-669 Abstract: Notes:
	A Jaubert, J J Marigo (2006) Justification of Paris-type Fatigue Laws from Cohesive Forces Model via a Variational Approach Continuum Mechanics and Thermodynamics V18: 1. 23-45 Abstract: Notes:
	Jean-Jacques Marigo, Nicolas Meunier (2006) Hierarchy of one-dimensional models in nonlinear elasticity J. Elasticity 83: 1. 1-28 Abstract: Notes:
2005	A Cimetiere, D Halm, J J Marigo, E Molines (2005) Damage standard models with a fixed convex Arch. Mech. (Arch. Mech. Stos.) 57: 4. 265-276 Abstract: Notes:
	G A Francfort, J J Marigo (2005) Griffith theory of brittle fracture revisited : merits and drawbacks Latin America Journal of Solids and Structures 2: 1. 57-64 Abstract: Notes:
	André Jaubert, Jean-Jacques Marigo (2005) L’approche variationnelle de la fatigue : des premiers résultats Comptes Rendus Mecanique 333: 7. 550-556 Abstract: Notes:
2004	Jerome Laverne, Jean-Jacques Marigo (2004) Approche globale, minima relatifs et Critère d’Amorçage en Mécanique de la Rupture Comptes Rendus Mecanique 332: 4. 313-318 Abstract: Notes:
	Jean-Jacques Marigo, Kamyar Madani (2004) The influence of the type of loading on the asymptotic behavior of slender elastic rings J. Elasticity 75: 2. 91-124 Abstract: Notes:

	J J Marigo, L Truskinovsky (2004) Initiation and propagation of fracture in the models of Griffith and Barenblatt Contin. Mech. Thermodyn. 16: 4. 391-409 Abstract: Notes:
2003	F Bilteryst, J J Marigo (2003) An energy based analysis of the pull-out problem European Journal of Mechanics - A/Solids 22: 1. 55-69 Abstract: Notes:
	Alain Cimetiere, Damien Halm, Jean-Jacques Marigo, Estelle Molines (2003) Modèles standards généralisés à convexe fixe en endommagement Comptes Rendus Mecanique 331: 4. 291-294 Abstract: Notes:
2002	Gilles Francfort, Jean-Jacques Marigo (2002) Vers une théorie énergétique de la rupture fragile Comptes Rendus Mecanique 330: 4. 225-233 Abstract: Notes:
2001	Antonio DeSimone, Jean-Jacques Marigo, Luciano Teresi (2001) A damage mechanics approach to stress softening and its application to rubber European Journal of Mechanics - A/Solids 20: 6. 873-892 Abstract: Notes:
2000	R Abdelmoula, J J Marigo (2000) The effective behavior of a fiber bridged crack Journal of the Mechanics and Physics of Solids 48: 11. 2419-2444 Abstract: Notes:
	B Bourdin, G A Francfort, J J Marigo (2000) Numerical experiments in revisited brittle fracture Journal of the Mechanics and Physics of Solids 48: 4. 797-826 Abstract: Notes:
1999	Francois Bilteryst, Jean-Jacques Marigo (1999) Amorçage de la décohésion dans l’essai d’arrachement Comptes Rendus de l’Academie des Sciences - Series IIB 327: 10. 977-983 Abstract: Notes:
1998	Radhi Abdelmoula, Michele Coutris, Jean-Jacques Marigo (1998) Comportement asymptotique d’une interphase élastique mince Comptes Rendus de l’Academie des Sciences - Series IIB 326: 4. 237-242 Abstract: Notes:
	Jean-Jacques Marigo, Hamid Ghidouche, Zubir Sedkaoui (1998) Des poutres flexibles aux fils extensibles : une hiérarchie de modèles asymptotiques Comptes Rendus de l’Academie des Sciences - Series IIB 326: 2. 79-84 Abstract: Notes:

	Jean-Jacques Marigo, Kamyar Madani (1998) Quelques modèles d’anneaux élastiques suivant les types de chargement Comptes Rendus de l’Academie des Sciences - Series IIB 326: 12. 805-810 Abstract: Notes:
	G A Francfort, J J Marigo (1998) Revisiting brittle fracture as an energy minimization problem Journal of the Mechanics and Physics of Solids 46: 8. 1319-1342 Abstract: Notes:
1993	G A Francfort, J J Marigo (1993) Stable damage evolution in a brittle continuous medium European J. Mech. A Solids 12: 2. 149-189 Abstract: Notes:
1991	Radhi Abdelmoula, Jean-Jacques Marigo (1991) Etude par la méthode des développements asymptotiques raccordés de l’assouplissement induit par une fissure dans une poutre en traction. E.D.F. Bulletin de la Direction des Etudes et Recherches 4: 45-80 Abstract: Notes:
1989	J J Marigo (1989) Constitutive relations in Plasticity, Damage and Fracture Mechanics based on a Work Property Nuclear Engineering and Design 114: 249-272 Abstract: Notes:
1987	G Geymonat, F Krasucki, J J Marigo (1987) Sur la commutativité des passages à la limite en théorie asymptotique des poutres composites C. R. Acad. Sci. Paris Série II 305: 225-228 Abstract: Notes:
	J J Marigo, P Mialon, J C Michel, P Suquet (1987) Plasticité et homogénéisation : un exemple de prévision de charges limites d’une structure hétérogène périodique Journal de Mécanique Théorique et Appliquée 6: 1. 47-75 Abstract: Notes:
1986	S Andrieux, Y Bamberger, J J Marigo (1986) Un modèle de matériau microfissuré pour les bétons et les roches Journal de Mécanique Théorique et Appliquée 5: 3. 471-513 Abstract: Notes:
	J J Marigo (1986) Comportement dynamique des milieux thermoélastiques non linéaires non conducteurs EDF Bull. Direction Études Rech. Sér. C Math. Inform. 2. 3-5 Abstract: Notes:
1985	J J Marigo (1985) Modelling of brittle and fatigue damage for elastic material by growth of microvoids Engineering Fracture Mechanics 21: 4. 861-874 Abstract: Notes:
	J J Marigo (1985) Lois de bilan en thermomécanique des milieux continus EDF Bulletin de la Direction des Études et Recherches, Série C : Mathématiques et Informatique 2. 3-5 Abstract: Notes:
1982	J J Marigo (1982) Etude numérique de l’endommagement Bulletin de la Direction des Etudes et Recherches, Série C : Mathématiques et Informatique 2: 27-48 Abstract: Notes:
1981	Jean-Jacques Marigo (1981) Formulation d’une loi d’endommagement d’un matériau élastique C. R. Acad. Sci. Paris Sér. II 292: 19. 1309-1312 Abstract: Notes:
1979	Y Bamberger, J J Marigo (1979) Propagation des ondes en milieu fissuré C. R. Acad. Sci. Paris Sér. II 289: 215-218 Abstract: Notes:
Book chapters

2004	J J Marigo (2004) Griffith theory revisited In: Multiscale Modeling in Continuum Mechanics and Structured Deformations Edited by:G Del Piero, D R Owen. 83-123 Springer Verlag Abstract: Notes:
2001	J J Marigo (2001) Some consequences of Ilyushin’s stability postulate on constitutive relations In: Elasticity and Anelasticity Edited by:I A Kiyko, M S Israelov, G L Brovko. Moscow University Press Abstract: Notes:
2000	J J Marigo (2000) From Clausius-Duhem and Drucker-Ilyushin inequalities to standard materials In: Continuum Thermodynamics : the art and science of modelling material behaviour Edited by:G A Maugin, R Drouot, F Sidoroff. Kluwer Acad. Publ. Abstract: Notes:
	M Charlotte, G A Francfort, J J Marigo, L Truskinovsky (2000) Revisiting brittle fracture as an energy minimization problem : comparison of Griffith and Barenblatt surface energy models In: Continuous Damage and Fracture Edited by:A Benallal. 7-18 Elsevier Abstract: Notes:
1999	G A Francfort, J J Marigo (1999) Cracks in Fracture Mechanics : A Time-Indexed Family of Energy Minimizers In: Variation of Domains and Free-Boundary Problems in Solid Mechanics Edited by:P Argoul, M Frémond, Q S Nguyen. 197-202 Kluwer Academic Publishers Abstract: Notes:

	G A Francfort, J J Marigo (1999) Une approche variationnelle de la mécanique du défaut In: Actes du 30ème Congrès d’Analyse Numérique : CANum ’98 (Arles, 1998) 57-74 Paris: Soc. Math. Appl. Indust. Abstract: Notes:
1993	J J Marigo, A Zhani (1993) Modelling of the pull-out test of a fibre with various friction and contact conditions In: MECAMAT 93 : International seminar on micromechanics of materials 555-566 Eyrolles Abstract: Notes:
	R Abdelmoula, F Krasucki, J J Marigo (1993) Microbuckling analysis of unidirectional fibred composites In: MECAMAT 93 : International seminar on micromechanics of materials 303-314 Eyrolles Abstract: Notes:
	J P Daguerre, J J Marigo (1993) Stablility and induced microstructure of brittle elastic media In: MECAMAT 93 : International seminar on micromechanics of materials 115-127 Eyrolles Abstract: Notes:
1991	G A Francfort, J J Marigo (1991) Mathematical analysis of the damage evolution in a brittle damaging continuous medium In: Mécanique, Modélisation Numérique et Dynamique des Matériaux Edited by:LMA. 245-276 CNRS Abstract: Notes:
1988	J J Marigo, P Mialon (1988) Justification of some brittle damage laws by Iliushin’s postulate and study of their singular character In: Cracking and damage : strain localization and size effect Edited by:J Mazars, Z P Bazant. 233-246 Elsevier Applied Science Abstract: Notes:
1987	G Geymonat, F Krasucki, J J Marigo (1987) Stress distribution in anisotropic elastic composite beams In: Applications of multiple scaling in mechanics (Paris, 1986) 118-133 Paris: Masson Abstract: Notes:
	J J Marigo, C Pideri (1987) Decohesion criteria in fibred composites and reinforced beams or plates In: Mechanical behaviour of adhesive joints Edited by:G Verchery, A H Cardon. Paris: Pluralis Abstract: Notes:
1979	Y Bamberger, J J Marigo, G Cannard (1979) Microfissuration du béton et propagation d’ondes ultrasonores In: Comportement mécanique des solides anisotropes 715-734 Gautier Villard Abstract: Notes:
Conference papers

2009	J Laverne, J J Marigo (2009) Fatigue In: XIX ème Congrès Fran\c cais de Mécanique Marseille: Abstract: Notes:
	K Pham, J J Marigo, C Maurini (2009) Endommagement non local In: Colloque national de calculs de structures Giens: Abstract: Notes:
	J Laverne, J J Marigo (2009) Fatigue In: Colloque national de calculs de structures Giens: Abstract: Notes:
	K Pham, J J Marigo, C Maurini (2009) Endommagement non local In: XIX ème Congrès Fran\c cais de Mécanique Marseille: Abstract: Notes:
2007	P E Dumouchel, J J Marigo (2007) Rupture dynamique et critère d’arrêt In: 8ème Colloque National en Calcul des Structures Giens: Abstract: Notes:

	H Amor, J J Marigo (2007) Approche variationnelle des lois de Griffith et de Paris de propagation de fissures via des modèles non-locaux d’endommagement In: 8ème Colloque National en Calcul des Structures Giens: Abstract: Notes:
2006	H Ferdjani, R Abdelmoula, J J Marigo (2006) Study of the influence of small size defects on the rupture behavior with the Dugdale model In: Proceedings of the Third International Conference on Advances in Mechanical Engineering and Mechanics Hammamet (Tunisie): Abstract: Notes:
	P E Dumouchel, J J Marigo (2006) An energetical approach to a dynamic fracture problem In: Proceedings of the Third International Conference on Advances in Mechanical Engineering and Mechanics Hammamet (Tunisie): Abstract: Notes:
	H Amor, J J Marigo (2006) A numerical method of crack propagation by fatigue based on a variational approach In: Proceedings of the Third International Conference on Advances in Mechanical Engineering and Mechanics Hammamet (Tunisie): Abstract: Notes:
	H Amor, R Abdelmoula, J J Marigo (2006) Theoretical and numerical analysis of non-local damage models In: Proceedings of the Third International Conference on Advances in Mechanical Engineering and Mechanics Hammamet (Tunisie): Abstract: Notes:
2005	A Jaubert, J J Marigo (2005) A variational approach to fatigue debonding In: Proceedings of the 11th International Conference on Fracture Turin: Abstract: Notes:
	A Jaubert, J J Marigo (2005) Décollement par fatigue d’un film mince en flexion : une approche variationnelle In: 7ème Colloque National en Calcul des Structures Giens: Abstract: Notes:
	A Jaubert, J J Marigo (2005) Décollement d’un film mince en fatigue : une approche variationnelle In: Actes de CFM 2005 Troyes: Abstract: Notes:
	M Charlotte, G Debruyne, P E Dumouchel, J J Marigo (2005) Analyse du décollement d’un film élastique en régime dynamique : exploration analytique et numérique In: 7ème Colloque National en Calcul des Structures Giens: Abstract: Notes:
2004	J J Marigo (2004) A variational approach to propagation of cracks by fatigue In: Proceedings of the workshop “Thermodynamische Materialtheorien” Edited by:K Hutter, I Müller, L Truskinovsky. Oberwolfach: Abstract: Notes:

	A Jaubert, J J Marigo (2004) A Variational approach to the debonding of a thin film by fatigue In: Proceedings of the international workshop on “MESOMECHANICS : FUNDAMENTALS AND APPLICATIONS” Tomsk: Abstract: Notes:
	J Laverne, J J Marigo (2004) A Cohesive zone model with Barenblatt surface energy : Theoretical considerations and numerical simulations In: Proceedings of ICF 15 : Advanced Fracture Mechanics for Life and Safety Assessments Stockholm: Abstract: Notes:
2003	J J Marigo (2003) Liens entre les énergies de surface de type Barenblatt et les critères d’amor\c cage de fissure In: Actes du 16ème Congrès Fran\c cais de Mécanique Edited by:AFM. Nice: Abstract: Notes:
	J J Marigo (2003) Energie de surface de Barenblatt et critère tridimensionnel d’amor\c cage de fissures In: Modèles et lois d’interface pour le contact Edited by:, L Champaney, D Dureissex. Marseille: Abstract: Notes:
	J Laverne, E Lorentz, J J Marigo (2003) Un modèle de rupture fragile avec énergie de Barenblatt :considérations théoriques et implémentations numériques In: Actes du 16ème Congrès Fran\c cais de Mécanique Edited by:AFM. Abstract: Notes:
2001	J J Marigo (2001) Approche énergétique globale de la rupture : quelques considérations théoriques et numériques In: Multi-approche en mécanique des matériaux Edited by:, C Licht, C Mabru, R Peyroux. 68-71 Abstract: Notes:
1999	K Madani, J J Marigo (1999) Théories asymptotiques des anneaux élastiques In: Actes du XIV ème Congrès Fran\c cais de Mécanique Edited by:AUM. Toulouse: Abstract: Notes:
	F Bilteryst, J J Marigo (1999) Décohésion et multifissuration dans les composites In: Actes du XIV ème Congrès Fran\c cais de Mécanique Edited by:AUM. Abstract: Notes:
1998	G A Francfort, J J Marigo (1998) Une approche variationnelle de la mécanique du défaut In: Actes du Congrès National d’Analyse Numérique Abstract: Notes:
1997	R Abdelmoula, J J Marigo (1997) Comportement effectif des structures contenant des défauts In: Actes du 13ème Congrès Fran\c cais de Mécanique Edited by:AUM. 315-318 Abstract: Notes:

	G A Francfort, J J Marigo (1997) La théorie de Griffith de la rupture fragile revisitée In: Actes du groupe de travail "Endommagement des milieux hétérogènes" 78-111 Champs sur Marne: Abstract: Notes:
	R Abdelmoula, J J Marigo (1997) Modélisation des défauts dans les structures par des méthodes multiéchelles In: Actes du Symposium Saint-Venant “Analyse multiéchelle et systèmes physiques couplés” 521-528 Abstract: Notes:
1995	Y Berrehili, J J Marigo (1995) Comportement effectif de matériaux composites à fibres décollées In: Annales des Composites : Micromécanique et mécanismes de l’endommagement des composites Edited by:AMAC. 203-212 Abstract: Notes:
	R Abdelmoula, J J Marigo (1995) Etude de la propagation d’une fissure matricielle pontée par des fibres In: Actes du 12ème Congrès Fran\c cais de Mécanique Edited by:AUM. 117-120 Abstract: Notes:
	R Abdelmoula, K Madani, J J Marigo (1995) Comportement asymptotique d’une “fissure pontée” dans les matériaux composites à fibres In: Actes du 12ème Congrès Fran\c cais de Mécanique Edited by:AUM. 117-120 Abstract: Notes:
	R Abdelmoula, K Madani, J J Marigo (1995) Remarques sur le modèle “fissure pontée par des ressorts” dans les matériaux composites In: Actes du 2ème colloque national en calcul de structures Edited by:Hermès. 83-89 Abstract: Notes:
1994	R Abdelmoula, F Krasucki, J J Marigo (1994) Détermination de la charge de microflambage d’un composite In: Actes des 9ème Journées Nationales sur les Composites Edited by:AMAC. 731-740 Abstract: Notes:
1993	J P Daguerre, J J Marigo (1993) Régularisation des problèmes d’endommagement des milieux élastiques fragiles In: Actes du 11ème Congrès Fran\c cais de Mécanique Edited by:AUM. 285-288 Abstract: Notes:
	R Abdelmoula, F Krasucki, J J Marigo (1993) Modélisation du microflambage dans un composite fibré unidirectionnel In: Actes du 11ème Congrès Fran\c cais de Mécanique Edited by:AUM. 285-288 Abstract: Notes:
1991	J J Marigo, Z Sun, A Zhani (1991) Modélisation de l’essai d’arrachement de fibres sous diverses conditions de contact et de frottement In: Actes du Xème Congrès Fran\c cais de Mécanique Edited by:AUM. Abstract: Notes:
1987	J J Marigo (1987) Quelques conséquences d’un postulat sur le travail du type Drücker-Ilyushin en plasticité, mécanique de la rupture et endommagement In: Proceedings of the 9th International Conference on Structural Mechanics in Reactor Technology Edited by:F H Wittmann. 147-156 Abstract: Notes:
1985	O Desbordes, J J Marigo, P Mialon, J C Michel, P Suquet (1985) Calcul des charges limites des structures fortement hétérogènes In: Troisième Colloque “Tendances Actuelles en Calcul des Structures" 55-71 Pluralis Abstract: Notes:

Books

Journal articles

Book chapters

Conference papers