Topology Optimization

By Martin P. Bendsøe. Encyclopedia of Optimization, 2009

1,153 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/b2aa81dfc0a3ff660f4e0a5a9262e227fbdd5509

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In Civil and Structural Engineering

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Citations in the corpus

Design and evaluation of an additively manufactured aircraft heat exchanger (2018, methodology): “[14] used topology optimization to design a pin fin heat sink for impingement cooling, and found slightly better overall performance (accounting for heat transfer and pressure drop) for the optimized geometry relative to conventional designs.”
Topology optimization of a pseudo 3D thermofluid heat sink model (2018, methodology): “Dede and coworkers [16] use additive layer manufacturing to fabricate and subsequently experimentally evaluate an optimized heat sink design.”
MULTI-PHASE STRUCTURAL OPTIMIZATION VIA A LEVEL SET METHOD ∗, ∗∗ (2014, methodology): “In the framework of the SIMP (Solid Isotropic Material with Penalization) method, several interpolation schemes have been proposed for the mathematical formulation of the Hooke’s tensor of the mixture [9], [49], [57].”
Current and future trends in topology optimization for additive manufacturing (2018, methodology): “To address these issues, significant research has been carried out on manufacturability-oriented topology optimization, under both the density-based (Bendsøe and Sigmund 2004) and level set (Wang et al. 2003; Allaire et al. 2004) frameworks.”
Shape optimization with a level set based mesh evolution method (2014, neutral): “Roughly speaking, in the field of shape and topology optimization, three main classes of techniques can be distinguished, depending on the description of shapes they involve: • Density-based methods, such as the SIMP method [17] or the homogenization method [3, 16], transform the problem of finding ”
Free material optimization: recent progress (2008, background): “The idea to treat the material itself as a function of the space variable goes back to the works [4,15] and has also been studied in various other contexts [3].”
A new multi-material level set topology optimization method with the length scale control capability (2018, neutral): “…topology optimization has been implemented under the main topology optimization frameworks, including SIMP (Solid Isotropic Material with Penalization) [1], ESO (Evolutionary Structural Optimization) [2], and level set [3,4], and a brief literature survey is presented in the rest of this section.”
An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions (2018, methodology): “And there is no intermediate density material, which is different from the variable density method (Bendsøe and Sigmund 2003).”
Isogeometric Shape Optimization of Vibrating Membranes (2011, methodology): “…the shape indirectly, using for example the coeﬃcients of the partial differential equation governing an engineering model under consideration (control in the coeﬃcients, homogenization, or topology optimization approaches, see [3, 4]) or auxiliary surfaces such as in level-set methods, see [5].”