Stress constrained topology optimization with free-form design domains
Tài liệu tham khảo
Sigmund, 2013, Topology optimization approaches a comparative review, Struct. Multidiscip. Optim., 48, 1031, 10.1007/s00158-013-0978-6
van Dijk, 2013, Level-set methods for structural topology optimization: a review, Struct. Multidiscip. Optim., 48, 437, 10.1007/s00158-013-0912-y
Deaton, 2014, A survey of structural and multidisciplinary continuum topology optimization: post 2000, Struct. Multidiscip. Optim., 49, 1, 10.1007/s00158-013-0956-z
Duysinx, 1998, Topology optimization of continuum structures with local stress constraints, Internat. J. Numer. Methods Engrg., 43, 1453, 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2
Le, 2010, Stress-based topology optimization for continua, Struct. Multidiscip. Optim., 41, 605, 10.1007/s00158-009-0440-y
Holmberg, 2012, Stress constrained topology optimization, Struct. Multidiscip. Optim., 1
Luo, 2012, An enhanced aggregation method for topology optimization with local stress constraints, Comput. Methods Appl. Mech. Engrg.
Bruggi, 2012, Topology optimization for minimum weight with compliance and stress constraints, Struct. Multidiscip. Optim., 46, 369, 10.1007/s00158-012-0759-7
Wang, 2013, Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization, Struct. Multidiscip. Optim., 47, 335, 10.1007/s00158-012-0846-9
Fries, 2010, The extended/generalized finite element method: an overview of the method and its applications, Internat. J. Numer. Methods Engrg., 84, 253, 10.1002/nme.2914
Wei, 2010, A study on X-FEM in continuum structural optimization using a level set model, Comput.-Aided Des., 42, 708, 10.1016/j.cad.2009.12.001
Zhang, 2012, Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis, Comput. Methods Appl. Mech. Engrg., 245, 75, 10.1016/j.cma.2012.06.022
Schmit, 1974, Some approximation concepts for structural synthesis, AIAA J., 12, 692, 10.2514/3.49321
París, 2009, Topology optimization of continuum structures with local and global stress constraints, Struct. Multidiscip. Optim., 39, 419, 10.1007/s00158-008-0336-2
París, 2010, Stress constraints sensitivity analysis in structural topology optimization, Comput. Methods Appl. Mech. Engrg., 199, 2110, 10.1016/j.cma.2010.03.010
Xia, 2012, A level set solution to the stress-based structural shape and topology optimization, Comput. Struct., 90–91, 55, 10.1016/j.compstruc.2011.10.009
Xia, 2012, Sensitivity analysis with the modified Heaviside function for the optimal layout design of multi-component systems, Comput. Methods Appl. Mech. Engrg., 241, 142, 10.1016/j.cma.2012.06.005
Wang, 2013, A general material perturbation method using fixed mesh for stress sensitivity analysis and structural shape optimization, Comput. Struct., 129, 40, 10.1016/j.compstruc.2013.08.008
Wang, 2003, A level set method for structural topology optimization, Comput. Methods Appl. Mech. Engrg., 192, 227, 10.1016/S0045-7825(02)00559-5
Allaire, 2004, Structural optimization using sensitivity analysis and a level-set method, J. Comput. Phys., 194, 363, 10.1016/j.jcp.2003.09.032
Xing, 2010, A finite element-based level set method for structural optimization, Internat. J. Numer. Methods Engrg., 82, 805, 10.1002/nme.2785
Zhou, 2013, Engineering feature design for level set based structural optimization, Comput.-Aided Des., 45, 1524, 10.1016/j.cad.2013.06.016
Chen, 2007, Shape optimization with topological changes and parametric control, Internat. J. Numer. Methods Engrg., 71, 313, 10.1002/nme.1943
Shapiro, 1991
Shapiro, 2007, Semi-analytic geometry with R-functions, Acta Numer., 16, 239, 10.1017/S096249290631001X
James, 2012, An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh, Comput. Struct., 90–91, 97, 10.1016/j.compstruc.2011.10.004
James, 2012, Stress-based topology optimization using an isoparametric level set method, Finite Elem. Anal. Des., 58, 20, 10.1016/j.finel.2012.03.012
Parvizian, 2007, Finite cell method — h- and p-extension for embedded domain problems in solid mechanics, Comput. Mech., 41, 121, 10.1007/s00466-007-0173-y
Duster, 2008, The finite cell method for three-dimensional problems of solid mechanics, Comput. Methods Appl. Mech. Engrg., 197, 3768, 10.1016/j.cma.2008.02.036
Schillinger, 2012
Schillinger, 2014, The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models, Arch. Comput. Methods Eng., 1
Ricci, 1973, A constructive geometry for computer graphics, Comput. J., 16, 157, 10.1093/comjnl/16.2.157
Cai, 2014, Stress constrained shape and topology optimization with fixed mesh: A B-spline finite cell method combined with level set function, Comput. Methods Appl. Mech. Engrg., 278, 361, 10.1016/j.cma.2014.06.007
James, 2009, Structural topology optimization for multiple load cases using a dynamic aggregation technique, Eng. Optim., 41, 1103, 10.1080/03052150902926827
Wang, 2006, Radial basis functions and level set method for structural topology optimization, Internat. J. Numer. Methods Engrg., 65, 2060, 10.1002/nme.1536
Luo, 2008, A level set-based parameterization method for structural shape and topology optimization, Internat. J. Numer. Methods Engrg., 76, 1, 10.1002/nme.2092
Wendland, 1995, Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Adv. Comput. Math., 4, 389, 10.1007/BF02123482
Wendland, 2006, Computational aspects of radial basis function approximation, Stud. Comput. Math., 12, 231, 10.1016/S1570-579X(06)80010-8
Luo, 2009, A level set method for structural shape and topology optimization using radial basis functions, Comput. Struct., 87, 425, 10.1016/j.compstruc.2009.01.008
Rong, 2008, A level set method for topology optimization of continuum structures with bounded design domains, Comput. Methods Appl. Mech. Engrg., 197, 1447, 10.1016/j.cma.2007.11.026
Zhang, 2011, Some recent advances in the integrated layout design of multicomponent systems, J. Mech. Des., 133, 104503, 10.1115/1.4005083
Ruess, 2013, Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method, Internat. J. Numer. Methods Engrg., 95, 811, 10.1002/nme.4522
Lee, 2012, Stress-constrained topology optimization with design-dependent loading, Struct. Multidiscip. Optim., 46, 647, 10.1007/s00158-012-0780-x
K. Svanberg, A globally convergent version of MMA without linesearch, in: Proceedings of the First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, 1995, pp. 9–16.
Radovcic, 2002, BOSS QUATTRO: an open system for parametric design, Struct. Multidiscip. Optim., 23, 140, 10.1007/s00158-002-0173-7
Qian, 2013, Topology optimization in B-spline space, Comput. Methods Appl. Mech. Engrg., 265, 15, 10.1016/j.cma.2013.06.001
Sigmund, 2001, A 99 line topology optimization code written in Matlab, Struct. Multidiscip. Optim., 21, 120, 10.1007/s001580050176
Belytschko, 2003, Topology optimization with implicit functions and regularization, Internat. J. Numer. Methods Engrg., 57, 1177, 10.1002/nme.824
Bennett, 1985, Structural shape optimization with geometric description and adaptive mesh refinement, AIAA J., 23, 458, 10.2514/3.8935
Zhang, 1995, A unified parametric design approach to structural shape optimization, Internat. J. Numer. Methods Engrg., 38, 2283, 10.1002/nme.1620381309
