A mixed FEM approach to stress‐constrained topology optimization

By Matteo Bruggi, P. Venini. 2008

140 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/37749504094189f75999dfde0a64655295de6cdc

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Combined shape and topology optimization for minimization of maximal von Mises stress (2017, background): “…maximum von Mises stress constraint has been enforced in topology optimization problems (e.g. Duysinx and Sigmund (1998); Svanberg and Werme (2007); Bruggi and Venini (2008); Le et al (2010); Cheng and Jiang (1992); Allaire and Jouve (2008); Allaire et al (2011, 2014); Ha and Cho (2008); Yamasaki…”
On an alternative approach to stress constraints relaxation in topology optimization (2008, methodology): “For more details on the finite element discretizations and its performances and results within a stress-constrained topology optimization framework, reference is made to Bruggi and Venini (2007) .”
Multi-material topology optimization with strength constraints (2011, methodology): “Earlier attempts ( Bruggi and Venini 2008; Svanberg and Werme 2005; Pereira et al. 2004; Le et al. 2010) to solve the L-shaped geometry problem have highlighted the difficulties at the re-entrant corner.”
Stress-constrained topology optimization with design-dependent loading (2012, unknown): “However, this approach is not unique, and many other authors have adopted variations of stress relaxation (Bruggi and Venini 2008; Duysinx and Sigmund 1998; París et al. 2009; Pereira et al. 2004).”
A level set approach for topology optimization with local stress constraints (2014, methodology): “Also using SIMP concepts, the qp-approach [6] was tested for topology optimization problems where minimum compliance is the objective function and local constraints have been locally imposed on von Mises stress of each element [7].”
Failure Mitigation in Optimal Topology Design Using a Coupled Nonlinear Continuum Damage Model (2014, background): “The L-Bracket Problem The L-bracket structure appears frequently as an illustrative benchmark problem in topology optimization studies involving stress-based material failure constraints [42, 43, 44, 45, 46].”
Topology Optimization (2009, methodology): “ε-RELAXATION In general, relaxation techniques, such as ε-relaxation [18] and the qp-approach [59], are applied to tackle the difficulty of singular optima.”
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].”
Stress-constrained topology optimization: a topological level-set approach (2013, methodology): “The mixed finite 44 element method (FEM) was proposed for stress45 constrained topology optimization, to alleviate the 46 challenges posed by displacement-based FEM [25].”
Stress-based topology optimization for continua (2010, methodology): “The first two ingredients are well known in topology optimization (Bruns and Tortorelli 2001) while the third ingredient is consistent with stressbased topology optimization methodologies (Duysinx and Bendsoe 1998; Bruggi and Venini 2008 ).”