Topology optimization with multiple phase projection

By James K. Guest. 2009

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/5d59fd85c966aec69c4225ae673f88aca6103eeb

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Integrated topology optimization with embedded movable holes based on combined description by material density and level sets (2013, background): “constraint approaches [17,18], the higher-order/non-conforming finiteelementmethods [19,20]and theprojectionmethods [21–24].”
A survey of manufacturing oriented topology optimization methods (2016, methodology): “Later, this method was modified into double projections, which effectively restricts the minimum length scales of both the component and void phases [37] .”
On projection methods, convergence and robust formulations in topology optimization (2011, background): “... it, there are only very few papers that explicitly address the hinge or local convergence issues: that imposes a rather elaborate constraint (Poulsen 2003); that adds a quadratic energy functional to a level-set formulation and thereby imposes fixed feature size for both void and solid regions (”
A geometric projection method for designing three‐dimensional open lattices with inverse homogenization (2017, background): “The shortest distance d̃ q between a particular translation of bar q and a particular symmetry transformation of point p is exactly the same as in Equation 3, except that now the vectors a, b, e, and g used in computing the shortest distance have to be modified to account for the movements of x q , ”
A nodal variable method of structural topology optimization based on Shepard interpolant (2012, methodology): “It is noted that the idea of using different meshes for discretization of displacement field and design variables was also proposed in a recent paper of Guest and Smith Genut [24].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Projection schemes have also been proposed for length scale control of void regions (holes) and both solid and void regions simultaneously where conventional filters only ensure minimum length scale of the solid phase (Sigmund 2007; Guest 2009b).”