C. Defaisse, M. Mazière, L. Marcin, and J. Besson, Ductile fracture of an ultra-high strength steel under low to moderate stress triaxiality, Engineering Fracture Mechanics, vol.194, pp.301-318, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01780585

M. Jirásek, Mathematical analysis of strain localization. Revue Europeenne de Genie Civil, vol.11, pp.977-991, 2007.

J. Besson, G. Cailletaud, J. Chaboche, and S. Forest, Non-linear mechanics of materials, 2010.

H. Petryk,

, Material Instabilities in Elastic and Plastic Solids, CISM International Centre for Mechanical Sciences 414, 2000.

D. Bigoni, Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability, 2012.

R. Hill, Acceleration waves in solids, Journal of the Mechanics and Physics of Solids, vol.10, pp.1-16, 1962.

J. Mandel, Conditions de Stabilité et Postulat de Drucker, Rheology and Soil Mechanics IUTAM Symposium Grenoble, pp.58-68, 1966.

J. R. Rice, The localization of plastic deformation, Theoretical and Applied Mechanics, pp.207-220, 1976.

R. De-borst, G. N. Wells, and L. J. Sluys, Some observations on embedded discontinuity models, Engineering Computations, vol.18, pp.241-254, 2001.

M. Ben-bettaieb and F. Abed-meraim, Effect of kinematic hardening on localized necking in substrate supported metal layers, International Journal of Mechanical Sciences, vol.123, pp.177-197, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01541500

F. Abed-meraim, Contributions à la prédiction d'instabilités de type structure et matériau : modélisation de critères et formulation d'éléments finis adaptés à la simulation des structures minces. Mémoire HDR dissertation Arts et Métiers ParisTech, 2009.

D. Bigoni and D. Zaccaria, Loss of strong ellipticity in non-associative elastoplasticity, Journal of the Mechanics and Physics of Solids, vol.40, pp.1313-1331, 1992.

D. Bigoni and D. Zaccaria, On strain localization analysis of elastoplastic materials at finite strains, International Journal of Plasticity, vol.9, pp.21-33, 1993.

G. Gruben, D. Morin, M. Langseth, and O. S. Hopperstad, Strain localization and ductile fracture in advanced high-strength steel sheets, European Journal of Mechanics A/Solids, vol.61, pp.315-329, 2017.

J. Besson, D. Steglich, and W. Brocks, Modeling of crack growth in round bars and plane strain specimens, International Journal of Solids and Structures, vol.38, pp.8259-8284, 2001.

S. E. Sanborn and J. H. Prévost, Frictional slip plane growth by localization detection and the extended finite element method (XFEM), International Journal for Numerical and Analytical Methods in Geomechanics, vol.35, pp.1278-1298, 2011.

J. Oliver, A. E. Huespe, J. C. Cante, and G. Diaz, On the numerical resolution of the discontinuous material bifurcation problem, International Journal for Numerical Methods in Engineering, vol.6, pp.786-804, 2010.

M. Ortiz, An analytical study of the localized failure modes of concrete, Mechanics of Materials, vol.6, pp.159-174, 1987.

J. Mosler, Numerical analyses of discontinuous material bifurcation: strong and weak discontinuities, Computer Methods in applied Mechanics and Engineering, vol.194, pp.979-1000, 2005.

Z. Néda, R. Brechet, and Y. , Reconsideration of continuum percolation of isotropically oriented sticks in three dimensions, Physical Review E, vol.59, pp.3717-3719, 1999.

D. Bigoni and T. Hueckel, Uniqueness and Localization -I -Associative and non-associative elastoplasticity, International Journal of Solids ans Structures, vol.28, pp.197-213, 1991.

S. Forest, Nonlinear regularisation operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage, Proc. R. Soc. A, vol.472, 2016.

Q. S. Nguyen, Stability and nonlinear solid mechanics, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00105248

R. Hill, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, pp.236-249, 1958.

Z. P. Bazant and J. Vorel, Energy-Conservation Error Due to Use of Green-Naghdi Objective Stress Rate in Commercial Finite-Element Codes and Its Compensation, ASME. J. Appl. Mech, vol.81, pp.21008-021008, 2013.

M. Ortiz, Y. Leroy, and A. Needleman, A finite element method for localized failure analysis, Computer Science in Applied Mechanics and Engineering, vol.61, pp.189-214, 1986.

B. Weber, B. Kenmeugne, J. C. Clement, and J. L. Robert, Improvements of multiaxial fatigue criteria computation for a strong reduction of calculation duration, Computational Materials Science, vol.15, pp.381-399, 1999.

A. Mota, Q. Chen, J. W. Foulk, J. T. Ostien, and Z. Lai, A Cartesian parametrization for the numerical analysis of material instability, International Journal for Numerical Methods in Engineering, vol.108, issue.2, pp.156-180, 2016.

H. Petryk, Plastic Instability : Criteria and Computational Approaches, Archives of Computational Methods in Engineering, vol.4, pp.111-151, 1997.

J. Besson and R. Foerch, Large scale object-oriented finite element code design, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1, pp.165-187, 1997.

A. Meyers, O. T. Bruhns, and H. Xiao, Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion, Meccanica, vol.35, issue.3, pp.229-247, 2000.

M. Scales, N. Tardif, and S. Kyriakides, Ductile failure of aluminum alloy tubes under combined torsion and tension, International Journal of Solids and Structures, pp.116-128, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01802248

M. Mazière and S. Forest, Strain gradient plasticity modeling and finite element simulation of Lüders band formation and propagation, Continuum Mechanics and Thermodynamics, vol.27, pp.83-104, 2015.

K. Thermann, Post-critical plastic deformation pattern in incrementally nonlinear materials at finite strain, Material instabilities in elastic and plastic solids CISM, pp.333-384, 2000.

R. De-borst, M. A. Crisfield, J. J. Remmers, and C. V. Verhoosel, Non-Linear Finite Element Analysis of Solids and Structures, 2012.

I. Doghri and R. Billardon, Investigation of localization due to damage in elasto-plastic materials, Mechanics of Materials, vol.19, issue.2, pp.129-149, 1995.

B. Haddag, F. Abed-meraim, and T. Balan, Strain localization analysis using a large deformation anisotropic elasticâ??plastic model coupled with damage, International Journal of Plasticity, vol.25, pp.1970-1996, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01206515