The Limits of Porous Materials in the Topology Optimization of Stokes Flows

By Anton Evgrafov. 2005

109 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/f1e2521d7cff286b9db4a95cef7d8a9439efeef3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Optimizing multifunctional materials: Design of microstructures for maximized stiffness and fluid permeability (2006, methodology): “While it was recently determined that the fluid optimization problem is well posed (Borrvall and Petersson, 2003; Evgrafov, 2005 ) it is not yet known under what combinations of astiff and aperm the combined problem will be well posed.”
Topology optimization of flow domains using the lattice Boltzmann method (2007, methodology): “Following Borrvall and Petersson (2003), Evgrafov (2005a) , and Evgrafov (2005b), this can, for example, be achieved if the permeability α −1 is related to the design variable”
Design of maximum permeability material structures (2007, unknown): “Evgrafov [17] proposed varying viscosity or using two material phases with high and low permeability, respectively, to penalize velocities through the solid phase.”
Imposing maximum length scale in topology optimization (2009, background): “In the topology optimization flows (Borrvall and Petersson 2003; Evgrafov 2005; Guest and Prevost 2006b; Gersborg-Hansen et al. 2005; Wiker et al. 2007), 464 J. K. Guest”
Design of phononic materials/structures for surface wave devices using topology optimization (2007, background): “... to other fields of application, including, e.g., the optimal design of materials with extreme properties (e.g., Neves et al. 2002; Gibiansky and Sigmund 2000), thermal and electrothermomechanical actuators (e.g., Sigmund 2001; Pajot et al. 2006), heat conducting devices and mechanisms (e.g., Li ”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “The approach was generalized by Evgrafov (2005) to allow the extremal cases of the porous materials, both pure solid and pure flow regions, to appear in the optimization procedure.”