, The mathematical theory of plasticity, 1950.
Calcul à la rupture et analyse limite, Presses de l'Ecole Nationale des Ponts et Chaussées, 1983. ,
Yield Design, London, Hoboken : ISTE Ltd, 2013. ,
Limit analysis and soil plasticity, 2013. ,
Toward a consistent design of structural concrete, PCI journal, vol.32, issue.3, pp.74-150, 1987. ,
Yield-line theory, Cement and Concrete Association London, 1962. ,
Atlas of limit loads of metal plates, shells and disks, North-Holland Series in Applied Mathematics & Mechanics, 1995. ,
Plastic limit analysis of plates, shells, and disks, 1997. ,
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. ,
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. ,
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. ,
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
Granular contact dynamics using mathematical programming methods, Computers and Geotechnics, vol.43, pp.165-176, 2012. ,
Particle finite element analysis of the granular column collapse problem, Granular Matter, vol.16, issue.4, pp.609-619, 2014. ,
, Nonsmooth mechanics and convex optimization, 2011.
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. ,
Dual finite-element analysis using second-order cone programming for structures including contact ,
URL : https://hal.archives-ouvertes.fr/hal-02428540
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
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
An interior-point algorithm for elastoplasticity, International Journal for Numerical Methods in Engineering, vol.69, issue.3, pp.592-626, 2007. ,
Formulation and solution of some plasticity problems as conic programs, International Journal of Solids and Structures, vol.44, issue.5, pp.1533-1549, 2007. ,
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. ,
A quadratic programming approach for certain classes of non linear structural problems, Meccanica, vol.3, issue.2, pp.121-130, 1968. ,
Complementary plastic work theorems in piecewise-linear elastoplasticity, International Journal of Solids and Structures, vol.5, issue.3, pp.90063-90071, 1969. ,
Incremental elastoplastic analysis and quadratic optimization, Meccanica, vol.5, issue.2, pp.107-116, 1970. ,
A nonsmooth newton method for elastoplastic problems, Computer Methods in Applied Mechanics and Engineering, vol.191, pp.1189-1219, 2002. ,
Solving primal plasticity increment problems in the time of a single predictor-corrector iteration, Computational Mechanics, pp.1-23, 2019. ,
An algorithm for incremental elastoplastic analysis using equality constrained sequential quadratic programming, Computers & structures, vol.102, pp.97-107, 2012. ,
A fast first-order optimization approach to elastoplastic analysis of skeletal structures, Optimization and Engineering, vol.17, issue.4, pp.861-896, 2016. ,
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. ,
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
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. ,
Applications of second-order cone programming, Linear Algebra and its Applications, vol.284, issue.1-3, pp.193-228, 1998. ,
, Convex optimization, 2004.
On implementing a primal-dual interior-point method for conic quadratic optimization, Mathematical Programming, vol.95, issue.2, pp.249-277, 2003. ,
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. ,
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
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. ,
Lower bound limit analysis using non-linear programming, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.573-611, 2002. ,
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. ,
, Equilibrium Finite Element Formulations, 2017.
Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis, International Journal for Numerical Methods in Engineering, 2009. ,
Derivation of element stiffness matrices by assumed stress distributions, AIAA Journal, vol.2, issue.7, pp.1333-1336, 1964. ,
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 ,
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. ,
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. ,
,
Mastering calculations in linear and nonlinear mechanics, Mechanical engineering series, 2005. ,
ABAQUS/Standard User's Manual, Version 6.9, Simulia, 2009. ,