Topology optimization of shell structures using adaptive inner-front (AIF) level set method

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Shape optimization and its extension to topological design based on isogeometric analysis (2010, background): “, 2004; Allaire and Jouve, 2005; Amstutz and Andra, 2006) and the strain energy density (Park and Youn, 2008) have been presented.”
Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “This allows for some degree of topology optimization, although special techniques are often required to create new holes during optimization (Allaire et al. 2005; Park and Youn 2008; Dunning and Kim 2013).”
Topology optimization using B-spline finite elements (2011, background): “Techniques for introducing inner fronts have been proposed ( Park and Youn 2008 )t o overcome this problem.”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, background): “However, topological changes are uni–directional, in the sense that holes can only be removed in the design domain and inner front creation requires additional numerical techniques [76, 112]; also, similar to other level set methods, repeated reinitializations of the level set function are required ”