Shape optimization of a layer by layer mechanical constraint for additive manufacturing

[1]  F. Santambrogio,et al.  A semi derivation lemma on BV functions , 2008 .

[2]  Kamran Mumtaz,et al.  A Method to Eliminate Anchors/Supports from Directly Laser Melted Metal Powder Bed Processes , 2011 .

[3]  I. Ashcroft,et al.  Topology Optimization for Additive Manufacturing , 2011 .

[4]  Sylvain Lefebvre,et al.  Bridging the gap , 2014, ACM Trans. Graph..

[5]  J. Zolésio,et al.  Introduction to shape optimization : shape sensitivity analysis , 1992 .

[6]  L. Evans Measure theory and fine properties of functions , 1992 .

[7]  Antoine Henrot,et al.  Variation et optimisation de formes , 2005 .

[8]  Krishnan Suresh,et al.  Support structure constrained topology optimization for additive manufacturing , 2016, Comput. Aided Des..

[9]  F. Murat,et al.  Sur le controle par un domaine géométrique , 1976 .

[10]  Johanna Weiss,et al.  Optimal Shape Design For Elliptic Systems , 2016 .

[11]  Brian Wyvill,et al.  Robust iso-surface tracking for interactive character skinning , 2014, ACM Trans. Graph..

[12]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[13]  Hyunjoong Kim,et al.  Functional Analysis I , 2017 .

[14]  Matthijs Langelaar,et al.  Topology optimization of 3D self-supporting structures for additive manufacturing , 2016 .

[15]  Grégoire Allaire,et al.  Structural optimization under overhang constraints imposed by additive manufacturing technologies , 2017, J. Comput. Phys..

[16]  Peter D. Dunning,et al.  Introducing the sequential linear programming level-set method for topology optimization , 2015 .

[17]  H. Brezis Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .

[18]  Antoine Henrot,et al.  Variation et optimisation de formes : une analyse géométrique , 2005 .

[19]  Flaviana Calignano,et al.  Design optimization of supports for overhanging structures in aluminum and titanium alloys by selective laser melting , 2014 .

[20]  Franccois-Xavier Vialard Hamiltonian approach to geodesic image matching , 2008, 0801.2095.

[21]  Brigitte Maier,et al.  Fundamentals Of Differential Geometry , 2016 .

[22]  Frédéric Hecht,et al.  New development in freefem++ , 2012, J. Num. Math..

[23]  P. Grisvard Elliptic Problems in Nonsmooth Domains , 1985 .

[24]  Antonio André Novotny,et al.  Topological Derivatives in Shape Optimization , 2012 .

[25]  Grégoire Allaire,et al.  Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing , 2018, Mathematical Models and Methods in Applied Sciences.

[26]  James K. Guest,et al.  Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through design , 2016 .

[27]  Bernhard Mueller,et al.  Additive Manufacturing Technologies – Rapid Prototyping to Direct Digital Manufacturing , 2012 .

[28]  Jean-Philippe Chancelier,et al.  Modeling and Simulation in Scilab/Scicos , 2006 .

[29]  de Marc Schoenauer,et al.  Conception optimale de structures , 2007 .