Topological optimization of continuum structures with design-dependent surface loading – Part I: new computational approach for 2D problems

By Jianbin Du, N. Olhoff. 2004

115 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/78e5564c4516e91416e84a4b09e5945f2ac83b94

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Citations in the corpus

Stress-constrained topology optimization with design-dependent loading (2012, unknown): “Other authors identify the material boundary directly, either by connecting points of equal density (Du and Olhoff 2004; Zhang et al. 2008) or with the use of splines (Fuchs and Shemesh 2004; Hammer and Olhoff 2000); the load can then be directly applied to the finite elements.”
Adaptive moving mesh level set method for structure topology optimization (2008, background): “One of the biggest challenges is how to obtain a smooth load-carrying-boundary explicitly (Hammer and Olhoff 2000, Du and Olhoff 2004).”
Topological optimization of continuum structures with design-dependent surface loading – Part II: algorithm and examples for 3D problems (2004, methodology): “In Part I of this paper (Du and Olhoff 2004), an energy-based model with weighted unit cost constraints is applied in the research of optimization with general design-dependent loads.”
Topology optimization using a mixed formulation: An alternative way to solve pressure load problems (2007, methodology): “[4] which was obtained for a coarser discretization (400 elements) and an iso-density curve for imposing the pressure load surface.”
Topology optimization involving thermo-elastic stress loads (2010, background): “It could be treated as a special case of hydrostatic pressure ( Du and Olhoff 2003a; Chen and Kikuchi 2001).”
Bi-directional evolutionary structural optimization for design-dependent fluid pressure loading problems (2015, methodology): “…structure obtained by the BESO method is consistent with the results published in Chen, Silva, and Kikuchi (2001), Bourdin and Chambolle (2003), Du and Olhoff (2004a), Sigmund and Clausen (2007), Zhang, Zhang, and Liu (2008), Bruggi and Cinquini (2009) and Zheng, Chang, and Gea (2009) without…”
A new boundary search scheme for topology optimization of continuum structures with design-dependent loads (2008, result): “The optimal structure is similar to the result in the work of Hammer and Olhoff (2000), Du and Olhoff (2004a) , and Sigmund and Clausen (2007).The compliance of the optimized structure is 0.122.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Olhoff and Du (2006) and Du and Olhoff (2007a, 2010) minimized the total sound power radiated from structural surfaces of vibrating bi-material structures. It is important to note that with this selection of objective function, acoustic analysis is not required. Similarly, (Nandy and Jog (2012) rece”
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, background): “If no topology-dependent loading conditions are considered, the first term on the righthand side of (35) vanishes, otherwise it can be computed with special treatments (Du and Olhoff 2004), but this is beyond the scope of this study.”
A critical review of established methods of structural topology optimization (2009, background): “Olhoff has also been extremely active in applying SIMP to reliability-based problems (Kharmanda and Olhoff 2004), vibrating continua (Olhoff and Du 2006; Du and Olhoff 2007a and b), and design-dependent loads (Hammer and Olhoff 1999, 2000; Du and Olhoff 2004a and b).”