A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization

By Thomas A. Poulsen. 2002

120 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/96044f3614e617fb5f7c376748a8057ec2ff1883

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Honeycomb Wachspress finite elements for structural topology optimization (2009, methodology): “Poulsen (2002a) used a descriptor function to identify corner contacts throughout the design domain at each iteration step and added a constraint to prohibit their formation.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Regularization was also suggested by design parameterization in wavelet space (Kim and Yoon 2000; Poulsen 2002), and Pomezanski et al. (2005) proposed an extension of SIMP to penalize corner contact directly.”
An enhanced genetic algorithm for structural topology optimization (2006, background): “According to Bendsøe and Sigmund [10], the existence of one-node hinges in optimal topologies is a widespread phenomenon in structural topology optimization and only some specially designed schemes such as the one in [54] can prevent the non-physical one-node connected hinges.”
Improving multiresolution topology optimization via multiple discretizations (2012, methodology): “Studies have been conducted to improve the manufacturability of the topology design and alleviate the numerical instability [33–36].”
A modified Q4/Q4 element for topology optimization (2009, background): “Note that high resolution for the final topology has been the objective of various methods, which attempt to suppress checkerboard patterns and direct corner contact (Pomezanski et al. 2005; Poulsen 2002, 2003; Sigmund and Petersson 1998).”
A critical review of established methods of structural topology optimization (2009, methodology): “Rigorously derived sensitivities are used also, if we employ a checkerboard prohibiting constraint (Poulsen 2002), perimeter constraint (Haber et al. 1996), slope constraints (Petersson and Sigmund 1998), adaptive side constraints (Zhou et al. 2001), or penalization for corner contacts (COSIMP,…”
Achieving minimum length scale in topology optimization using nodal design variables and projection functions (2004, background): “Checkerboards can be removed through smoothing or inhibited by using higher order finite elements [2, 3], non-conforming finite elements [4], or additional constraints [5].”