Structural optimization under overhang constraints imposed by additive manufacturing processes: an overview of some recent results

[1]G. Allaire, Conception optimale de structures, vol. 58 of Mathematiques & Applications, Springer-Verlag, Berlin, (2007), 10.1007/978-3-540-36856-4AllaireG.Conception optimale de structures58Mathematiques & ApplicationsSpringer-VerlagBerlin200710.1007/978-3-540-36856-4Open DOISearch in Google Scholar

[2]G. Allaire, C. Dapogny, A. Faure, and G. Michailidis, Shape optimization of a layer by layer mechanical constraint for additive manufacturing, C. R. Acad. Sci. Paris, Ser. I, 355, (2017), pp. 699-717, 10.1016/j.crma.2017.04.008AllaireG.DapognyC.FaureA. and MichailidisG.Shape optimization of a layer by layer mechanical constraint for additive manufacturingAcadC. R.SciParis355201769971710.1016/j.crma.2017.04.008Open DOISearch in Google Scholar

[3]G. Allaire, C. Dapogny, A. Faure, G. Michailidis and R. Estevez, Structural optimization under overhang constraints imposed by additive manufacturing technologies, submitted, (2017).AllaireG.DapognyC.FaureA.MichailidisG.EstevezR.Structural optimization under overhang constraints imposed by additive manufacturing technologies submitted201710.1016/j.jcp.2017.09.041Search in Google Scholar

[4]G. Allaire, L. Jakabcin, Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing, (in preparation).AllaireG.JakabcinL.Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing (in preparation)Search in Google Scholar

[5]G. AllaireF. JouveA.M.Toader, Structural optimization using shape sensitivity analysis and a level-set method, J. Comput. Phys., 194 (2004) pp. 363-393, 10.1016/j.jcp.2003.09.032AllaireG.JouveF.ToaderA.M.Structural optimization using shape sensitivity analysis and a level-set methodJ. Comput. Phys194200436339310.1016/j.jcp.2003.09.032Open DOISearch in Google Scholar

[6]A. Clausen, Topology optimization for additive manufacturing, doctoral thesis of the Technical University of Denmark, (2016).ClausenA.Topology optimization for additive manufacturing, doctoral thesis of the Technical University of Denmark2016Search in Google Scholar

[7]C. Dapogny, A. Faure, G. Michailidis, G. Allaire, A. Couvelas, and R. Estevez, Geometric constraints for shape and topology optimization in architectural design, Computational Mechanics, 59, (2017), pp. 933-965, 10.1007/s00466-017-1383-6DapognyC.FaureA.MichailidisG.AllaireG.CouvelasA.EstevezR.Geometric constraints for shape and topology optimization in architectural designComputational Mechanics59201793396510.1007/s00466-017-1383-6Open DOISearch in Google Scholar

[8]J. Dumas, J. Hergel, and S. Lefebvre, Bridging the gap: automated steady scaffoldings for 3d printing, ACM Transactions on Graphics (TOG), 33 (2014), p. 98, 10.1145/2601097.2601153DumasJ.HergelJ.LefebvreS.Bridging the gap: automated steady scaffoldings for 3d printingACM Transactions on Graphics (TOG)3320149810.1145/2601097.2601153Open DOISearch in Google Scholar

[9]P. Dunning and H. Kim, Introducing the sequential linear programming level-set method for topology optimization, Structural and Multidisciplinary Optimization, 51 (2015), pp. 631-643, 10.1007/s00158-014-1174-zDunningP.KimH.Introducing the sequential linear programming level-set method for topology optimizationStructural and Multidisciplinary Optimization51201563164310.1007/s00158-014-1174-zOpen DOISearch in Google Scholar

[10]I. Gibson, D.W. Rosen and B. Stucker, Additive manufacturing technology: rapid prototyping to direct digital manufacturing, Springer Science Business Media, Inc, (2010), 10.1007/978-1-4419-1120-9GibsonI.RosenD.W.StuckerB.Additive manufacturing technology: rapid prototyping to direct digital manufacturingSpringer Science Business Media, Inc201010.1007/978-1-4419-1120-9Open DOISearch in Google Scholar

[11]A.T. Gaynor and J.K. Guest, Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through design, Struct. Multidisc. Optim., (2016), 10.1007/s00158-016-1551-xGaynorA.T.GuestJ.K.Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through designStruct. Multidisc. Optim201610.1007/s00158-016-1551-xOpen DOISearch in Google Scholar

[12]A. Henrot and M. Pierre, Variation et optimisation de formes: uneanalysegeometrique, vol. 48, Springer, 2005, 10.1007/3-540-37689-5HenrotA. and PierreM.Variation et optimisation de formes: une analyse geometrique48Springer200510.1007/3-540-37689-5Open DOISearch in Google Scholar

[13]M. Langelaar, Topology optimization of 3D self-supporting structures for additive manufacturing, Additive Manufacturing, 12, (2016), pp. 60-70, 10.1016/j.addma.2016.06.010LangelaarM.Topology optimization of 3D self-supporting structures for additive manufacturingAdditive Manufacturing122016607010.1016/j.addma.2016.06.010Open DOISearch in Google Scholar

[14]A. M. Mirzendehdel and K. Suresh, Support structure constrained topology optimization for additive manufacturing, Computer-Aided Design, (2016), 10.1016/j.cad.2016.08.006MirzendehdelA. M.SureshK.Support structure constrained topology optimization for additive manufacturingComputer-Aided Design201610.1016/j.cad.2016.08.006Open DOISearch in Google Scholar

[15]F. Murat and J. Simon, Sur le controle par un domaine geometrique, Technical Report RR-76015, Laboratoired'AnalyseNumerique (1976).MuratF. and SimonJ.Sur le controle par un domaine geometriqueTechnical Report RR-76015, Laboratoire d’Analyse Numerique1976Search in Google Scholar

[16]A. Novotny and J. Sokolowski, Topological derivatives in shape optimization, Springer, Heidelberg (2012), 10.1007/978-3-642-35245-4NovotnyA. and SokolowskiJ.Topological derivatives in shape optimizationSpringer, Heidelberg201210.1007/978-3-642-35245-4Open DOISearch in Google Scholar

[17]S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations, Journal of computational physics, 79 (1988), pp. 12-49, 10.1016/0021-9991(88)90002-2OsherS. and SethianJ.Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulationsJournal of computational physics791988124910.1016/0021-9991(88)90002-2Open DOISearch in Google Scholar

[18]O. Pironneau, Optimal shape design for elliptic systems, Springer-Verlag, New York (1984), 10.1007/BFb0006123PironneauO.Optimal shape design for elliptic systemsSpringer-VerlagNew York198410.1007/BFb0006123Open DOISearch in Google Scholar

[19]X. Qian, Undercut and overhang angle control in topology optimization: a density gradient based integral approach, International Journal for Numerical Methods in Engineering, 111, (2017), pp. 247-272, 10.1002/nme.5461QianX.Undercut and overhang angle control in topology optimization: a density gradient based integral approachInternational Journal for Numerical Methods in Engineering111201724727210.1002/nme.5461Open DOISearch in Google Scholar

[20]J. Sethian, Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science, Cambridge university press, 1999, 10.1108/k.2000.29.2.239.3SethianJ.Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials scienceCambridge university press199910.1108/k.2000.29.2.239.3Open DOISearch in Google Scholar

[21]J. Sokolowski, J.-P. Zolesio, Introduction to shape optimization: shape sensitivity analysis, Springer Series in Computational Mathematics, Vol. 10, Springer, Berlin (1992), 10.1007/978-3-642-58106-9SokolowskiJ.ZolesioJ.-P.Introduction to shape optimization: shape sensitivity analysisSpringer Series in Computational Mathematics10SpringerBerlin199210.1007/978-3-642-58106-9Open DOISearch in Google Scholar

[22]M. Wang, X. Wang, and D. Guo, A level set method for structural topology optimization, Computer methods in applied mechanics and engineering, 192 (2003), pp. 227-246, 10.1016/S0045-7825(02)00559-5WangM.WangX. and GuoD.A level set method for structural topology optimizationComputer methods in applied mechanics and engineering192200322724610.1016/S0045-7825(02)00559-5Open DOISearch in Google Scholar