Genetic algorithm optimization and blending of composite laminates by locally reducing laminate thickness, Advances in Engineering Software, vol.35, issue.1, pp.35-43, 2004. ,
Towards an automatic isogeometric analysis suitable trivariate models generation-Application to geometric parametric analysis, Computer Methods in Applied Mechanics and Engineering, vol.316, pp.623-645, 2017. ,
Domain decomposition methods and kirchhoff-love shell multipatch coupling in isogeometric analysis, Isogeometric Analysis and Applications, pp.73-101, 2014. ,
DOI : 10.1007/978-3-319-23315-4_4
A survey of multidisciplinary design optimization methods in launch vehicle design, Structural and Multidisciplinary Optimization, vol.45, issue.5, pp.619-642, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00663444
Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces, ComputerAided Design, 2017. ,
Stress projection for membrane and shear locking in shell finite elements, Computer Methods in Applied Mechanics and Engineering, vol.51, issue.1-3, pp.221-258, 1985. ,
DOI : 10.1016/0045-7825(85)90035-0
Isogeometric shell analysis: The Reissner-Mindlin shell, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.276-289, 2010. ,
DOI : 10.1016/j.cma.2009.05.011
A consistent frame for sensitivity filtering and the vertex assigned morphing of optimal shape, Structural and Multidisciplinary Optimization, vol.49, issue.6, pp.873-895, 2014. ,
Computational methods for form finding and optimization of shells and membranes, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.3438-3452, 2005. ,
DOI : 10.1016/j.cma.2004.12.026
Optimal shapes of mechanically motivated surfaces, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5, pp.324-333, 2010. ,
DOI : 10.1016/j.cma.2008.09.009
Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and Bmethod, Computer Methods in Applied Mechanics and Engineering, vol.267, pp.86-110, 2013. ,
DOI : 10.1002/nme.4834
Development of a mixed displacement-stress formulation for the analysis of elastoplastic structures under small strains: Application to a lockingfree, NURBS-based solid-shell element, Computer Methods in Applied Mechanics and Engineering, vol.295, pp.543-561, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01978240
An isogeometric locking-free nurbs-based solid-shell element for geometrically nonlinear analysis, International Journal for Numerical Methods in Engineering, vol.101, issue.10, pp.774-808, 2015. ,
DOI : 10.1002/nme.4834
URL : https://hal.archives-ouvertes.fr/hal-01978232
Shape optimal design using b-splines, Computer Methods in Applied Mechanics and Engineering, vol.44, issue.3, pp.247-267, 1984. ,
DOI : 10.1016/0045-7825(84)90132-4
Blending moving least squares techniques with NURBS basis functions for nonlinear isogeometric analysis, Computational Mechanics, vol.53, issue.6, pp.1327-1340, 2014. ,
DOI : 10.1007/s00466-014-0977-5
On the Assumed Natural Strain method to alleviate locking in solid-shell NURBS-based finite elements, Computational Mechanics, vol.53, issue.6, pp.1341-1353, 2014. ,
Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thinshell structures, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.861-880, 2015. ,
Isogeometric shape design optimization: exact geometry and enhanced sensitivity. Structural and Multidisciplinary Optimization, vol.38, pp.53-70, 2009. ,
DOI : 10.1007/s00158-008-0266-z
A mesh regularization scheme to update internal control points for isogeometric shape design optimization, Computer Methods in Applied Mechanics and Engineering, vol.285, pp.694-713, 2015. ,
Geometric Modeling with Splines: An Introduction. A. K. Peters, Ltd, 2001. ,
DOI : 10.1201/9781439864203
A flexible approach for coupling nurbs patches in rotationless isogeometric analysis of kirchhofflove shells, Computer Methods in Applied Mechanics and Engineering, vol.325, pp.505-531, 2017. ,
,
Isogeometric Analysis: Toward Integration of CAD and FEA, 1st edn, Prajapati JM (2017) Parametric shape optimization techniques based on Meshless methods: A review. Structural and Multidisciplinary Optimization, vol.56, pp.1197-1214, 2009. ,
Accurate analysis and thickness optimization of tailor rolled blanks based on isogeometric analysis, Structural and Multidisciplinary Optimization, vol.54, issue.4, pp.871-887, 2016. ,
Isogeometric ReissnerMindlin shell analysis with exactly calculated director vectors, Computer Methods in Applied Mechanics and Engineering, vol.253, pp.491-504, 2013. ,
A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries, Computer Methods in Applied Mechanics and Engineering, vol.316, pp.43-83, 2017. ,
A hierarchic family of isogeometric shell finite elements, Computer Methods in Applied Mechanics and Engineering, vol.254, pp.170-180, 2013. ,
Curves and Surfaces for CAGD: A Practical Guide, 5th edn, 2002. ,
Regularization of shape optimization problems using FE-based parametrization, Structural and Multidisciplinary Optimization, vol.47, issue.4, pp.507-521, 2013. ,
Fundamental aspects of shape optimization in the context of isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.286, pp.313-331, 2015. ,
On penalty-free formulations for multipatch isogeometric KirchhoffLove shells, Mathematics and Computers in Simulation, vol.136, pp.78-103, 2017. ,
A parameter-free variational coupling approach for trimmed isogeometric thin shells, Computational Mechanics, vol.59, issue.4, pp.693-715, 2017. ,
Generalized isogeometric shape sensitivity analysis in curvilinear coordinate system and shape optimization of shell structures, Structural and Multidisciplinary Optimization, vol.52, issue.6, pp.1069-1088, 2015. ,
A framework for parametric design optimization using isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.316, pp.944-965, 2017. ,
Selected Processes and Modeling Techniques for Rolled Products, Procedia Engineering, vol.81, pp.18-27, 2014. ,
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.4135-4195, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01513346
Multi-objective free-form optimization for shape and thickness of shell structures with composite materials, Composite Structures, vol.135, pp.262-275, 2016. ,
Three-dimensional shape optimization, International Journal for Numerical Methods in Engineering, vol.18, issue.5, pp.661-673, 1982. ,
SciPy: Open source scientific tools for Python, 2001. ,
Isogeometric shape optimization of trimmed shell structures, Structural and Multidisciplinary Optimization, vol.53, issue.4, pp.825-845, 2016. ,
Shape optimization of truss-stiffened shell structures with variable thickness, Computer Methods in Applied Mechanics and Engineering, vol.195, pp.2611-2634, 2006. ,
Isogeometric shell analysis with Kirchhoff-Love elements, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.3902-3914, 2009. ,
DOI : 10.1016/j.cma.2009.08.013
The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2403-2416, 2010. ,
Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting, Computer Methods in Applied Mechanics and Engineering, vol.274, pp.148-167, 2014. ,
DOI : 10.1016/j.cma.2014.02.001
Flexibly Rolled Sheet Metal and its use in Sheet Metal Forming, Advanced Materials Research, vol.6, pp.81-92, 2005. ,
DOI : 10.4028/0-87849-972-5.81
URL : https://doi.org/10.4028/0-87849-972-5.81
A Software Package for Sequential Quadratic Programming, Deutsche Forschungs-und Versuchsanstalt für Luftund Raumfahrt Köln: Forschungsbericht, Wiss. Berichtswesen d. DFVLR, 1988. ,
Performance characteristics of resizing algorithms for thickness optimization of plate structures. Finite elements in analysis and design, vol.34, pp.159-174, 2000. ,
A gradient-based, parameter-free approach to shape optimization, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.9, pp.985-996, 2011. ,
DOI : 10.1016/j.cma.2010.10.004
Degree elevation of nurbs curves by weighted blossom, Korean Journal of Computational & Applied Mathematics, vol.9, issue.1, pp.151-165, 2002. ,
Dangers inherited in shells optimized with linear assumptions, Computers and Structures, vol.78, issue.1, pp.473-486, 2000. ,
DOI : 10.1016/s0045-7949(00)00083-3
Volumetric T-spline construction using Boolean operations. Engineering with Computers, vol.30, pp.425-439, 2014. ,
DOI : 10.1007/978-3-319-02335-9_23
Finite element based design sensitivity analysis and optimization, AIAA Journal, vol.51, issue.9, pp.2049-2075, 1994. ,
A review on tailored blanks-Production, applications and evaluation, Journal of Materials Processing Technology, vol.214, issue.2, pp.151-164, 2014. ,
DOI : 10.1016/j.jmatprotec.2013.08.015
Isogeometric sizing and shape optimisation of beam structures, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.1216-1230, 2010. ,
DOI : 10.1016/j.cma.2009.12.010
Isogeometric design of elastic arches for maximum fundamental frequency. Structural and Multidisciplinary Optimization, vol.43, pp.135-149, 2011. ,
DOI : 10.1007/s00158-010-0549-z
URL : https://link.springer.com/content/pdf/10.1007%2Fs00158-010-0549-z.pdf
Isogeometric design of anisotropic shells: Optimal form and material distribution, Computer Methods in Applied Mechanics and Engineering, vol.264, pp.145-162, 2013. ,
DOI : 10.1016/j.cma.2013.05.019
Isogeometric Shape Optimization for Electromagnetic Scattering Problems, Progress In Electromagnetics Research B, vol.45, pp.117-146, 2012. ,
DOI : 10.2528/pierb12091308
URL : http://www.jpier.org/pierb/pierb45/07.12091308.pdf
An evolutionary structural optimization method for sizing problems with discrete design variables, Computers & Structures, vol.68, issue.4, pp.419-431, 1998. ,
DOI : 10.1016/s0045-7949(98)00062-5
, The NURBS Book, 1997.
DOI : 10.1007/978-3-642-59223-2
Full analytical sensitivities in NURBS based isogeometric shape optimization, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2059-2071, 2010. ,
DOI : 10.1016/j.cma.2010.03.005
URL : http://mmae.iit.edu/cadcam/pub/IGOReport.pdf
Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements. Structural and Multidisciplinary Optimization, vol.55, pp.2259-2283, 2017. ,
Shape optimization of shell structures, vol.2, pp.377-398, 1993. ,
DOI : 10.1080/12506559.1993.10511083
Simultaneous isogeometrical shape and material design of functionally graded structures for optimal eigenfrequencies, Computer Methods in Applied Mechanics and Engineering, vol.277, pp.46-80, 2014. ,
DOI : 10.1016/j.cma.2014.04.014
Isogeometric structural shape optimization, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.2976-2988, 2008. ,
DOI : 10.1016/j.cma.2008.01.025
Isogeometric shape optimization for quasi-static processes, International Journal for Numerical Methods in Engineering, vol.104, issue.5, pp.347-371, 2015. ,
DOI : 10.1002/nme.4940
Normalization approaches for the descent search direction in isogeometric shape optimization, CAD Computer Aided Design, vol.82, pp.68-78, 2017. ,
Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization, Computer Methods in Applied Mechanics and Engineering, vol.323, pp.250-271, 2017. ,
DOI : 10.1016/j.cma.2017.05.013
URL : https://hal.archives-ouvertes.fr/hal-01540814
Shape optimization and optimal control for transient heat conduction problems using an isogeometric approach, Computers and Structures, vol.185, pp.59-74, 2017. ,
DOI : 10.1016/j.compstruc.2017.02.004