R. Hill, The mathematical theory of plasticity, 1950.

J. Salençon, Calcul à la rupture et analyse limite, Presses de l'Ecole Nationale des Ponts et Chaussées, 1983.

J. Salençon, Yield Design, London, Hoboken : ISTE Ltd, 2013.

W. Chen, Limit analysis and soil plasticity, 2013.

J. Schlaich, K. Schäfer, and M. Jennewein, Toward a consistent design of structural concrete, PCI journal, vol.32, issue.3, pp.74-150, 1987.

K. Johansen, Yield-line theory, Cement and Concrete Association London, 1962.

M. Save, Atlas of limit loads of metal plates, shells and disks, North-Holland Series in Applied Mathematics & Mechanics, 1995.

M. A. Save, C. E. Massonnet, and G. De-saxce, Plastic limit analysis of plates, shells, and disks, 1997.

A. Makrodimopoulos and C. M. Martin, Lower bound limit analysis of cohesive-frictional materials using second-order cone programming, International Journal for Numerical Methods in Engineering, vol.66, issue.4, pp.604-634, 2006.

A. Makrodimopoulos and C. M. Martin, Upper bound limit analysis using simplex strain elements and second-order cone programming, International Journal for Numerical and Analytical Methods in Geomechanics, vol.31, issue.6, pp.835-865, 2007.

C. M. Martin and A. Makrodimopoulos, Finite-element limit analysis of Mohr-Coulomb materials in 3d using semidefinite programming, Journal of engineering mechanics, vol.134, issue.4, pp.339-347, 2008.

H. Vincent, M. Arquier, J. Bleyer, and P. De-buhan, Yield design-based numerical analysis of three-dimensional reinforced concrete structures, International Journal for Numerical and Analytical Methods in Geomechanics, vol.42, issue.18, pp.2177-2192, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01738638

K. Krabbenhoft, A. Lyamin, J. Huang, and M. V. Da-silva, Granular contact dynamics using mathematical programming methods, Computers and Geotechnics, vol.43, pp.165-176, 2012.

X. Zhang, K. Krabbenhoft, and D. Sheng, Particle finite element analysis of the granular column collapse problem, Granular Matter, vol.16, issue.4, pp.609-619, 2014.

Y. Kanno, Nonsmooth mechanics and convex optimization, 2011.

Y. Kanno, J. A. Martins, A. Pinto-da, and C. , Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem, International Journal for Numerical Methods in Engineering, vol.65, issue.1, pp.62-83, 2006.

C. E. Boustani, J. Bleyer, M. Arquier, M. Ferradi, and K. Sab, Dual finite-element analysis using second-order cone programming for structures including contact
URL : https://hal.archives-ouvertes.fr/hal-02428540

J. Bleyer, M. Maillard, P. De-buhan, and P. Coussot, Efficient numerical computations of yield stress fluid flows using second-order cone programming, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.599-614, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01081508

J. Bleyer, Advances in the simulation of viscoplastic fluid flows using interior-point methods, Computer Methods in Applied Mechanics and Engineering, vol.330, pp.368-394, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01672045

K. Krabbenhoft, A. V. Lyamin, S. W. Sloan, and P. Wriggers, An interior-point algorithm for elastoplasticity, International Journal for Numerical Methods in Engineering, vol.69, issue.3, pp.592-626, 2007.

K. Krabbenhøft, A. Lyamin, and S. Sloan, Formulation and solution of some plasticity problems as conic programs, International Journal of Solids and Structures, vol.44, issue.5, pp.1533-1549, 2007.

K. Yonekura and Y. Kanno, Second-order cone programming with warm start for elastoplastic analysis with von Mises yield criterion, Optimization and Engineering, vol.13, issue.2, pp.181-218, 2012.

G. Maier, A quadratic programming approach for certain classes of non linear structural problems, Meccanica, vol.3, issue.2, pp.121-130, 1968.

G. Maier, Complementary plastic work theorems in piecewise-linear elastoplasticity, International Journal of Solids and Structures, vol.5, issue.3, pp.90063-90071, 1969.

M. Capurso and G. Maier, Incremental elastoplastic analysis and quadratic optimization, Meccanica, vol.5, issue.2, pp.107-116, 1970.

P. W. Christensen, A nonsmooth newton method for elastoplastic problems, Computer Methods in Applied Mechanics and Engineering, vol.191, pp.1189-1219, 2002.

O. Sander and P. Jaap, Solving primal plasticity increment problems in the time of a single predictor-corrector iteration, Computational Mechanics, pp.1-23, 2019.

A. Bilotta, L. Leonetti, and G. Garcea, An algorithm for incremental elastoplastic analysis using equality constrained sequential quadratic programming, Computers & structures, vol.102, pp.97-107, 2012.

Y. Kanno, A fast first-order optimization approach to elastoplastic analysis of skeletal structures, Optimization and Engineering, vol.17, issue.4, pp.861-896, 2016.

G. D. Saxcé and Z. Q. Feng, The bipotential method: A constructive approach to design the complete contact law with friction and improved numerical algorithms, Mathematical and Computer Modelling, vol.28, issue.4, pp.225-245, 1998.

M. Hjiaj, J. Fortin, and G. De-saxcé, A complete stress update algorithm for the nonassociated Drucker-Prager model including treatment of the apex, International Journal of Engineering Science, vol.41, issue.10, pp.1109-1143, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00139261

A. Makrodimopoulos, Remarks on some properties of conic yield restrictions in limit analysis, International Journal for Numerical Methods in Biomedical Engineering, vol.26, issue.11, pp.1449-1461, 2010.

M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, Applications of second-order cone programming, Linear Algebra and its Applications, vol.284, issue.1-3, pp.193-228, 1998.

S. P. Boyd and L. Vandenberghe, Convex optimization, 2004.

E. Andersen, C. Roos, and T. Terlaky, On implementing a primal-dual interior-point method for conic quadratic optimization, Mathematical Programming, vol.95, issue.2, pp.249-277, 2003.

M. Wright, The interior-point revolution in optimization: history, recent developments, and lasting consequences, Bulletin of the American mathematical society, vol.42, issue.1, pp.39-56, 2005.

M. Ortiz and L. Stainier, The variational formulation of viscoplastic constitutive updates, Computer Methods in Applied Mechanics and Engineering, vol.171, issue.3-4, pp.419-444, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01007379

C. Miehe, Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation, International Journal for numerical methods in engineering, vol.55, issue.11, pp.1285-1322, 2002.

A. V. Lyamin and S. W. Sloan, Lower bound limit analysis using non-linear programming, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.573-611, 2002.

A. V. Lyamin and S. W. Sloan, Upper bound limit analysis using linear finite elements and non-linear programming, International Journal for Numerical and Analytical Methods in Geomechanics, vol.26, issue.2, pp.181-216, 2002.

J. P. De-almeida and E. A. Maunder, Equilibrium Finite Element Formulations, 2017.

M. Kempeneers, J. Debongnie, and P. Beckers, Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis, International Journal for Numerical Methods in Engineering, 2009.

T. H. Pian, Derivation of element stiffness matrices by assumed stress distributions, AIAA Journal, vol.2, issue.7, pp.1333-1336, 1964.

G. Morera, Soluzione generale delle equazioni indefinite dell'equilibrio di un corpo continuo, Atti Accad. Naz. Lincei, Rend. Cl. Fis. Mat. Natur., V. Ser, vol.1, issue.1, pp.137-141

J. C. Maxwell, On reciprocal diagrams in space, and their relation to Airy's function of stress, Proceedings of the London Mathematical Society, vol.1, issue.1, pp.58-63, 1866.

J. P. De-almeida and O. J. Pereira, A set of hybrid equilibrium finite elements models for the analysis of three dimensional solids, International Journal for Numerical Methods in Engineering, vol.39, issue.16, pp.2789-2802, 1996.

,

P. Ladevèze and J. P. Pelle, Mastering calculations in linear and nonlinear mechanics, Mechanical engineering series, 2005.

M. Smith, ABAQUS/Standard User's Manual, Version 6.9, Simulia, 2009.