Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme

By Luzhong Yin, G. K. Ananthasuresh. 2001

295 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/ebd75b37dc4c36ffe702e06afbacb4cf49d500c6

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In Civil and Structural Engineering

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Topology Optimization for Additive Manufacturing (2011, background): “The authors would like to thank the UK Technology Strategy Board (TSB) [43] for funding this work and the Atkins project partners.”
Topology design with negative masks using gradient search (2011, methodology): “PEAK (Yin and Ananthasuresh 2001) and SIGMOID (Saxena and Saxena 2007) were other material models used to encourage binary topologies in such cell based material layout approaches.”
Multi-material topology optimization using ordered SIMP interpolation (2016, methodology): “Alternatively, a peak function was used in the SIMP method to deal with the multi-material topology optimization (Yin and Ananthasuresh 2001).”
Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method (2014, background): “[5, 6], to develop general multimaterial interpolation schemes, there is however no progress toward developing a physically based material interpolation approach to mange arbitrary number of materials.”
A Q4/Q4 continuum structural topology optimization implementation (2004, background): “Design of compliant mechanisms with continuum topology optimization has been explored quite extensively with a number of alternative formulations in recent years (Frecker et al, 1997; Nishiwaki et al, 1998; Sigmund, 2001; Yin and Ananthasuresh, 2001).”
MULTI-PHASE STRUCTURAL OPTIMIZATION VIA A LEVEL SET METHOD ∗, ∗∗ (2014, methodology): “In general, material interpolation schemes can be quite involved [57] and one may design such a model in order to favor certain phases [49].”
Optimal Embedding of Rigid Objects in the Topology Design of Structures (2004, methodology): “(11)] without increasing the number of design variables at a point (Yin and Ananthasuresh, 2001).”
Design of multimaterial compliant mechanisms using level-set methods (2005, methodology): “hinges by the use of stiff and soft materials [16,17, 22 ].”
A mass constraint formulation for structural topology optimization with multiphase materials (2011, background): “Comparatively, Yin and Ananthasuresh [9] used the so-called peak function to interpolate the properties of multiphase materials.”
Multi-material topology optimization with multiple volume constraints: a general approach applied to ground structures with material nonlinearity (2017, methodology): “Most studies on multi-material topology optimization either use a total/global volume constraint for all materials (e.g., Hvejsel and Lund (2011), Yin and Ananthasuresh (2001), Gaynor et al. (2012), Victoria et al. (2011), Bogomolny and Amir (2012), and Amir and Sigmund (2013)), which may lead to…”