Topology optimization of continuum structures with material failure constraints

By J. Pereira, Eduardo Alberto Fancello, C. S. Barcellos. 2004

215 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/8d3e6a76b11e0dc70d86324fdfbc695d88c8d99e

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Topology Optimization (2009, methodology): “Another solution is to use Augmented Lagrangian [36, 37] or penalty methods in which the constraints are added to the objective function multiplied by a penalty function/constant.”
Topology optimization for minimum weight with compliance and stress constraints (2012, background): “(2003) and Pereira et al. (2004), the authors solve the”
Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints (2012, methodology): “Such methods have been widely applied with success to problems such as compliance minimization [10] but, despite its fundamental importance in engineering design, only a relatively small number of publications appear to deal with the incorporation of local (point-wise) stress constraints [2, 3, 11, ”
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).”
Topology optimization of continuum structures with stress constraints and uncertainties in loading (2018, unknown): “E [ σ (k) eq (ρ,α) ] = √[ u0k (ρ) ]TBTk Ck (ρk)MCk (ρk)Bku0k (ρ), (25)”
On an alternative approach to stress constraints relaxation in topology optimization (2008, methodology): “A variation of this approach has been proposed by Pereira et al. (2004) , which implies an augmented Lagrangian technique to include local constraints as a penalization term in the cost function, so that they reduce the computational efforts required by pointwise constraints, along with a different”
Sequential integer programming methods for stress constrained topology optimization (2007, background): “The use of a certain failure criterion is seen in Pereira et al. (2004) , where it is used together with an erelaxation, see Cheng and Guo (1997).”
Topology optimization of continuum structures with local and global stress constraints (2009, methodology): “This formulation has been also applied in the works of Duysinx [6,7], Pereira [25] or Yang [32], for example.”
Topological optimization of structures subject to Von Mises stress constraints (2010, background): “This is in contrast with the existing literature on the topic, where either dual methods are implemented [14, 16, 19, 31], with the well-known difficulties related to the irregularity of the Lagrange multiplier, or a simple power law penalization is considered [3, 4], generally leading to unfeasible”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Local methods place a constraint on each element in the design model (Bendsøe and Sigmund 2003; Pereira et al. 2004; Navarrina et al. 2005; Bruggi and Venini 2008).”
Stress-based topology optimization for continua (2010, background): “compliance design, c Stress distribution in b, d Duysinx and Bendsoe (1998), e Duysinx and Sigmund (1998), f Svanberg and Werme (2007), g Pereira et al. (2004), h Bruggi and Venini (2008), i Paris et al. (2009) , j Guilherme and Fonseca (2007), k Altair Optistruct (2007) (density distribution), l P”
Free material optimization for stress constraints (2007, background): “However, the optimal strains show the unwanted effect of the vanishing constraints: the strain constraints are mainly active for elements with (almost) zero ρ, i.e., for “holes”; see also Duysinx and Bendsoe (1998) .”
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].”