On an alternative approach to stress constraints relaxation in topology optimization

By Matteo Bruggi. 2008

436 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c87149ab59a70f75307b4b84c5dc5921b343ee14

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A sequential parametric convex approximation method with applications to nonconvex truss topology design problems (2010, background): “An alternative to the epsilon-relaxation methodology was proposed in [6], and is based on the same idea but is different in terms of convergence features.”
Topology optimization for minimum weight with compliance and simplified nominal stress constraints for fatigue resistance (2017, methodology): “This threshold is progressively increased in 10 steps and constantly set to 0, 85 thereafter, see in particular Bruggi and Duysinx (2013). The number of active constraints changes during the optimization, thus introducing discontinuities in the multi–constrained minimization.”
Topology optimization for minimum weight with compliance and stress constraints (2012, methodology): “As discussed in Bruggi (2008), the adoption of a smaller exponent q provides a larger relaxation of the stress constraints in the range of the low and intermediate densities, without affecting the feasibility of the stress regime in the full material regions.”
Interior value extrapolation: a new method for stress evaluation during topology optimization (2015, methodology): “Another relaxation used to overcome this problem is the so called qp-approach [6].”
A level set approach for topology optimization with local stress constraints (2014, methodology): “The use of the function ‰ is conceptually related to the singularity stress phenomenon and therefore to the qp-approach [6] and more indirectly, to the -relaxation [42] used in [1].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “A similar approach was presented by Bruggi and Cinquini (2009).”
Topology optimization with finite-life fatigue constraints (2017, methodology): “The two types of relaxation techniques are (i) the ε-relaxation technique [11], and (ii) the qp-approach [12].”
Topology Optimization (2009, methodology): “1: Variation of the parameter φ with the density for the ε-relaxation approach [48] in density-based optimization and the qp-approach [38] and different values of the relaxation parameters.”
Stress-related Topology Optimization via Level Set Approach (2011, background): “Topology optimization for continuum structures considering stress constraints has received more and more attentions in recent years [1-5].”