A new family of solvers for some classes of multi-dimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.3, issue.139, pp.153-176, 2006. ,
Theory of anisotropic thin-walled closed-cross-section beams, Composites Engineering, vol.2, issue.5-7, pp.5-7, 1992. ,
DOI : 10.1016/0961-9526(92)90035-5
Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.1-12, 2012. ,
DOI : 10.1016/j.cma.2011.08.025
URL : https://hal.archives-ouvertes.fr/hal-01462825
Theories and Finite Elements for Multilayered Plates and Shells:A Unified compact formulation with numerical assessment and benchmarking, Archives of Computational Methods in Engineering, vol.46, issue.5???7, pp.215-296, 2003. ,
DOI : 10.2514/3.10634
Exact, Hierarchical Solutions for Localized Loadings in Isotropic, Laminated, and Sandwich Shells, Journal of Pressure Vessel Technology, vol.53, issue.4, p.41202, 2009. ,
DOI : 10.1016/S0266-3538(97)00060-2
Hierarchical Evaluation of Failure Parameters in Composite Plates, AIAA Journal, vol.4, issue.1, pp.692-702, 2009. ,
DOI : 10.1016/S0263-8223(99)00112-9
REFINED BEAM THEORIES BASED ON A UNIFIED FORMULATION, International Journal of Applied Mechanics, vol.14, issue.01, pp.117-143, 2010. ,
DOI : 10.1016/S0045-7949(02)00223-7
Refined beam elements with arbitrary cross-section geometries, Computers & Structures, vol.88, issue.5-6, pp.5-6, 2010. ,
DOI : 10.1016/j.compstruc.2009.11.002
Beam Structures: Classical and Advanced Theories, 2011. ,
DOI : 10.1002/9781119978565
A Cholesky out-of-core factorization, Mathematical and Computer Modelling, vol.57, issue.9-10, pp.9-10, 2013. ,
DOI : 10.1016/j.mcm.2011.05.057
An overview of the proper generalized decomposition with applications in computational rheology, Journal of Non-Newtonian Fluid Mechanics, vol.166, issue.11, pp.578-592, 2011. ,
DOI : 10.1016/j.jnnfm.2010.12.012
URL : https://hal.archives-ouvertes.fr/hal-01061441
Coupling finite element and reliability analysis through proper generalized decomposition model reduction, International Journal for Numerical Methods in Engineering, vol.66, issue.6, pp.1079-1093, 2011. ,
DOI : 10.1016/j.na.2006.02.001
URL : https://hal.archives-ouvertes.fr/hal-01366918
AC1 finite element including transverse shear and torsion warping for rectangular sandwich beams, International Journal for Numerical Methods in Engineering, vol.36, issue.1, pp.47-75, 1999. ,
DOI : 10.1002/nme.1620360406
Analysis of FGM Beams by Means of Classical and Advanced Theories, Mechanics of Advanced Materials and Structures, vol.49, issue.8, pp.622-63550, 2010. ,
DOI : 10.1007/s11433-006-0451-2
ANALYSIS OF THIN-WALLED BEAMS VIA A ONE-DIMENSIONAL UNIFIED FORMULATION THROUGH A NAVIER-TYPE SOLUTION, International Journal of Applied Mechanics, vol.14, issue.03, pp.407-434, 2010. ,
DOI : 10.1016/S0045-7949(02)00223-7
Hierarchical modelling of doubly curved laminated composite shells under distributed and localised loadings, Composites Part B: Engineering, vol.42, issue.4, pp.682-691, 2011. ,
DOI : 10.1016/j.compositesb.2011.02.002
Free vibration analysis of composite beams via refined theories, Composites Part B: Engineering, vol.44, issue.1, pp.540-552, 2012. ,
DOI : 10.1016/j.compositesb.2012.03.005
A thermo-mechanical analysis of functionally graded beams via hierarchical modelling, Composite Structures, vol.95, pp.676-690, 2013. ,
DOI : 10.1016/j.compstruct.2012.08.013
Free vibration and stability analysis of three-dimensional sandwich beams via hierarchical models, Composites Part B: Engineering, vol.47, pp.326-338, 2013. ,
DOI : 10.1016/j.compositesb.2012.11.017
Review of composite rotor blade modeling, AIAA Journal, vol.64, issue.9, pp.561-565, 1990. ,
DOI : 10.1002/nme.1620280911
The Hadamard product, Proc. of Symposia in Applied Mathematics, pp.87-169, 1990. ,
Refined theories for composite and sandwich beams with C0 finite elements, Computers & Structures, vol.33, issue.3, pp.755-764, 1989. ,
DOI : 10.1016/0045-7949(89)90249-6
Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling., AIAA Journal, vol.23, issue.2, pp.923-934, 1989. ,
DOI : 10.2514/6.1987-878
Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation, AIAA Journal, vol.1, issue.7, pp.935-946, 1989. ,
DOI : 10.1121/1.394151
Flexural analysis of thin-walled composite beams using shear-deformable beam theory, Composite Structures, vol.70, issue.2, pp.212-222, 2005. ,
DOI : 10.1016/j.compstruct.2004.08.023
Flexural???torsional behavior of thin-walled composite beams, Thin-Walled Structures, vol.42, issue.9, pp.1293-1305, 2004. ,
DOI : 10.1016/j.tws.2004.03.015
URL : http://nrl.northumbria.ac.uk/13379/1/Flexural-torsional_behavior_no_shear.pdf
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.23-24, pp.23-24, 2010. ,
DOI : 10.1016/j.cma.2010.01.009
URL : https://hal.archives-ouvertes.fr/hal-00455635
Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model, International Journal of Solids and Structures, vol.35, issue.21, pp.2775-2793, 1998. ,
DOI : 10.1016/S0020-7683(97)00195-9
A Variational Approach to Three-Dimensional Elasticity Solutions of Laminated Composite Plates, Journal of Applied Mechanics, vol.59, issue.2S, pp.166-175, 1992. ,
DOI : 10.1115/1.2899483
A second order beam theory, Journal of Sound and Vibration, vol.67, issue.3, pp.293-305, 1979. ,
DOI : 10.1016/0022-460X(79)90537-6
Static analysis of laminated composite curved shells and panels of revolution with a posteriori shear and normal stress recovery using generalized differential quadrature method, International Journal of Mechanical Sciences, vol.61, issue.1, pp.71-87, 2012. ,
DOI : 10.1016/j.ijmecsci.2012.05.007
Assessment of a composite beam finite element based on the proper generalized decomposition, Composite Structures, vol.94, issue.5, pp.1900-1910, 2012. ,
DOI : 10.1016/j.compstruct.2011.12.016
URL : https://hal.archives-ouvertes.fr/hal-01366922
Composite beam finite element based on the proper generalized decomposition, Computers and Structures, vol.102103, pp.76-8650, 2012. ,
DOI : 10.1016/j.compstruc.2012.03.008
URL : https://hal.archives-ouvertes.fr/hal-01366924
Proper generalized decomposition and layerwise approach for the modeling of composite plate structures, International Journal of Solids and Structures, vol.50, pp.14-15, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01366917
Explicit solutions for the modeling of laminated composite plates with arbitrary stacking sequences, Composites Part B: Engineering, vol.60, pp.697-706, 2014. ,
DOI : 10.1016/j.compositesb.2014.01.023
URL : https://hal.archives-ouvertes.fr/hal-01366906
Shell finite element based on the Proper Generalized Decomposition for the modeling of cylindrical composite structures, Computers & Structures, vol.132, pp.1-11, 2014. ,
DOI : 10.1016/j.compstruc.2013.10.015
URL : https://hal.archives-ouvertes.fr/hal-01366963
A family of sinus finite elements for the analysis of rectangular laminated beams, Composite Structures, vol.84, issue.1, pp.56-72, 2008. ,
DOI : 10.1016/j.compstruct.2007.06.009
URL : https://hal.archives-ouvertes.fr/hal-01366937
On Timoshenko-like modeling of initially curved and twisted composite beams, International Journal of Solids and Structures, vol.39, issue.19, pp.5101-5121, 2002. ,
DOI : 10.1016/S0020-7683(02)00399-2