, References
A priori hyper-reduction method for coupled viscoelastic???viscoplastic composites, Computers & Structures, vol.119, pp.95-103, 2013. ,
DOI : 10.1016/j.compstruc.2012.11.017
URL : https://hal.archives-ouvertes.fr/hal-00790175
Nonlinear Computational Structural Mechanics -new approaches and non-incremental methods of calculation, Mechanical Engineering Series, 1999. ,
A short review in model order reduction based on proper generalized decomposition. Archives od computational methods in engineering, pp.395-404, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01004940
Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Comput. Methods Appl. Mech. Eng, vol.201, pp.2041-2053, 2012. ,
A Galerkin spectral approximation in linearized beam theory, Math. Model. Numer. Anal, vol.26, issue.3, pp.425-446, 1992. ,
A model reduction technique for beam analysis with the asymptotic expansion method, Comput. Struct, vol.172, pp.11-28, 2016. ,
Higher-order beam model with eigenstrains: theory and illustrations, ZAMM -Journal of Applied Mathematics and Mechanics, 2018. ,
, Journal of Rheology, vol.2, issue.4, 1931.
DOI : 10.1122/1.2116408
A Theoretical Investigation of Plastic Torsion in an I-Beam, The Aeronautical Journal, vol.101, issue.353, pp.1-4, 1940. ,
DOI : 10.1098/rspa.1938.0176
Theory of plasticity, 1946. ,
Inelastic behaviour of load-carrying members, 1965. ,
On the plastic distortion of solid bars by combined bending and twisting, Journal of the Mechanics and Physics of Solids, vol.1, issue.3, pp.207-214, 1953. ,
DOI : 10.1016/0022-5096(53)90038-6
Plastic twisting and bending of an I-beam in which the warp is restricted, International Journal of Mechanical Sciences, vol.4, issue.6, pp.491-502, 1962. ,
DOI : 10.1016/S0020-7403(62)80011-3
Yield surface approximation for lower and upper bound yield design of 3D composite frame structures, Computers and Structures, vol.129, pp.86-98, 2013. ,
Analytical solutions in elasto-plastic bending of beams with rectangular cross section, Applied Mathematical Modelling, vol.33, issue.3, pp.1749-1760, 2009. ,
Rigid plastic analysis of plane frame structures, Computer Methods in Applied Mechanics and Engineering, vol.179, issue.1-2, pp.19-30, 1999. ,
DOI : 10.1016/S0045-7825(99)00039-0
Finite element analysis of two- and three-dimensional elasto-plastic frames???the natural approach, Computer Methods in Applied Mechanics and Engineering, vol.35, issue.2, pp.221-248, 1982. ,
DOI : 10.1016/0045-7825(82)90135-9
A computationally efficient method for the limit elasto plastic analysis of space frames, Computational Mechanics, vol.1118, issue.2, pp.132-141, 1995. ,
DOI : 10.1007/BF00365867
Generalized yield surface representations in the elasto-plastic three-dimensional analysis of frames, Computers & Structures, vol.49, issue.2, pp.351-362, 1993. ,
DOI : 10.1016/0045-7949(93)90114-S
On the displacement formulation of torsion of shafts with rectangular cross-sections, International Journal for Numerical Methods in Engineering, vol.18, issue.10, pp.1565-1568, 1982. ,
Using multifiber beams to account for shear and torsion, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.52, pp.7264-7281, 2006. ,
DOI : 10.1016/j.cma.2005.05.053
URL : https://hal.archives-ouvertes.fr/hal-00115380
On elastic-plastic analysis of I-beams in bending and torsion, Computers and Structures, vol.17, issue.5, pp.711-718, 1983. ,
Beam Structures, 2011. ,
Plastic analysis of torsion of a prismatic beam, International Journal for Numerical Methods in Engineering, vol.18, issue.6, pp.927-944, 1982. ,
Elastic-plastic analysis of functionally graded bars under torsional loading, Composite Structures, vol.176, pp.254-267, 2017. ,
Nonuniform transformation field analysis, International Journal of Solids and Structures, vol.40, issue.25, pp.6937-6955, 2003. ,
DOI : 10.1016/S0020-7683(03)00346-9
URL : https://hal.archives-ouvertes.fr/hal-00088331
Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.48-51, pp.5477-5502, 2004. ,
DOI : 10.1016/j.cma.2003.12.071
URL : https://hal.archives-ouvertes.fr/hal-00088245
Nonuniform transformation field analysis of elastic???viscoplastic composites, Composites Science and Technology, vol.69, issue.1, pp.22-27, 2009. ,
DOI : 10.1016/j.compscitech.2007.10.032
URL : https://hal.archives-ouvertes.fr/hal-00499000
Reduced basis hybrid computational homogenization based on a mixed incremental formulation, Computer Methods in Applied Mechanics and Engineering, vol.260, pp.143-154, 2013. ,
GPU accelerated computational homogenization based on a variational approach in a reduced basis framework, Computer Methods in Applied Mechanics and Engineering, vol.278, pp.186-217, 2014. ,
The finite element method. McGraw-Hill London, 1977. ,
Mechanik der festen Körper im plastisch-deformablen Zustand, Mathematisch-Physikalische Klasse, vol.1913, pp.582-592, 1913. ,
Methods in Computational Physicsch. Calculation of Elastic-Plastic Flow, pp.211-263, 1964. ,
Implementation of a Time Dependent Plasticity Theory into Structural Computer Programs. Constitutive equations in viscoplasticity: Computational and engineering aspects, pp.125-137, 1976. ,
Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985. ,
DOI : 10.1016/0045-7825(85)90070-2
Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysis, Computers & Structures, vol.8, issue.2, pp.169-173, 1978. ,