Stress-based topology optimization for continua

By Chau H. Le, Julian A. Norato, T. Bruns, Christopher Ha, Daniel A. Tortorelli. 2010

873 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/2ca27c9f12bd2dd2fd740af884122625f3fc5277

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Citations in the corpus

A level set approach for topology optimization with local stress constraints (2014, methodology): “Similarly, the study in [15] uses the p-norm to compute the normalized global stress measure of a set of elements belonging to regions within the domain.”
Stress constraints sensitivity analysis in structural topology optimization (2010, background): “Structural Topology Optimization problems with stress constraints usually introduce a large number of design variables (usually one design variable per element of the mesh of finite elements: the relative density [1, 2, 3, 7, 18, 21, 24, 31]) and a large number of non-linear constraints (usually one”
Revisiting topology optimization with buckling constraints (2018, methodology): “Aggregation functions have been extensively used in the context of TO, mainly for stress constrained problems (Yang and Chen, 1996; Duysinx and Sigmund, 1998; Le et al, 2010; Lee et al, 2012, 2016; Verbart et al, 2017).”
Topology optimization of energy absorbing structures with maximum damage constraint (2017, methodology): “Engng 2017; 112:737–775 DOI: 10.1002/nme which have the slightly smaller value than the prescribed Dc due to the use of lower bound P-norm aggregation.”
Length scale and manufacturability in density-based topology optimization (2016, methodology): “The set consists of: 1) L-bracket optimization [94], 2) compliant mechanism design [123], and 3) heat sink optimization problem [20].”
Stress-constrained topology optimization with design-dependent loading (2012, positive): “For the other restrictions that η(ρe) must satisfy, see Le et al. (2010).”
Topology Optimization (2009, methodology): “Therefore, both functions have been mostly used to aggregate strictly positive stress functions, such as the Von Mises stress, into a global stress function [39].”
Combined shape and topology optimization for minimization of maximal von Mises stress (2017, background): “…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 et al (2011)) and a number…”
Topology optimization using the finite cell method (2012, methodology): “Provided that the numerical integration of cell stiffness matrices is performed accurately, it has been demonstrated in [Parvizian et al. (2007),Düster et al.”
Stress-based shape and topology optimization with the level set method (2018, methodology): “[2] that allows different stress criteria to be included.”
Topology optimization approaches (2013, methodology): “The stress singularity problem was partially alleviated with the −relaxation approach for truss (Cheng and Guo 1997) and continuum problems (Duysinx and Bendsøe 1998; Duysinx and Sigmund 1998); the “no structure” problem is often alleviated by combining the stress constraint with an compliance objec”
Stress-related Topology Optimization via Level Set Approach (2011, methodology): “Topology optimization for continuum structures considering stress constraints has received more and more attentions in recent years [1-5].”
Topology optimization of continuum structures with stress constraints and uncertainties in loading (2018, neutral): “One can write the applied load f(α) in a vector form, such that f(α) = { (F + α2) cos(α1) (F + α2) sin(α1) } , (29)”