Topology optimization using a mixed formulation: An alternative way to solve pressure load problems

By Ole Sigmund, Peter M. Clausen. 2007

235 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/66dbf0d30b48906864844d04970c49f047fc4544

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Design of Truss-Like Cellular Structures Using Relative Density Mapping Method (2014, methodology): “Many optimization approaches are used, such as Homogenization Based Optimization (HBO), Solid Isotropic Microstructure with Penalization (SIMP) and Rational Approximation of Material Properties (RAMP) [24, 26-28].”
Bi-directional evolutionary structural optimization for design-dependent fluid pressure loading problems (2015, methodology): “The mixed finite element models of Sigmund and Clausen (2007) and Bruggi and Cinquini (2009) treat the problem slightly differently, and the fluid volume should be constrained in order to avoid the formation of fluid cavities.”
Stress-constrained topology optimization with design-dependent loading (2012, unknown): “The following example is a common benchmarking problem for topology optimization with pressure loading (Bruggi and Cinquini 2009; Chen and Kikuchi 2001; Sigmund and Clausen 2007).”
Topology optimization approaches (2013, background): “…Du and Olhoff 2004a, b; Fuchs and Shemesh 2004) or have been based on monolithic formulations for solving multiphysics problems like pressure loads (Sigmund and Clausen 2007; Kreissl et al. 2010), acoustic-structure interaction (Yoon et al. 2007) and electrostatic actuation (Yoon and Sigmund 2008;…”
Topology optimization involving thermo-elastic stress loads (2010, background): “Sigmund and Clausen (2007) suggested a mixed displacement–pressure FE formulation to optimize the structural topology.”
Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation (2007, methodology): “The problems become much more complex if the governing equations for the “void” regions are different from those of the material regions, as seen for pressure loads [7,8] or electrostatic actuation [9].”
A new boundary search scheme for topology optimization of continuum structures with design-dependent loads (2008, methodology): “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.”