Topology optimization of continuum structures with local and global stress constraints

By José Paris, Fermín Navarrina, Ignasi Colominas, M. Casteleiro. 2009

197 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/0cc6f6daa72641f757d22ba9a276dde388fa98b0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Krishnan Suresh
2. Martin P. Bendsøe
3. Kurt Maute
4. Ashesh Sharma
5. Haim Waisman
6. M. Takalloozadeh
7. José Paris
8. Ignasi Colominas

In Computational Theory and Mathematics

1. Martin P. Bendsøe
2. Ashesh Sharma
3. Krishnan Suresh
4. Kurt Maute
5. M. Takalloozadeh
6. José Paris
7. Haim Waisman
8. Ignasi Colominas

In Mechanics of Materials

1. Martin P. Bendsøe
2. Ashesh Sharma
3. Krishnan Suresh
4. Kurt Maute
5. Haim Waisman
6. M. Takalloozadeh
7. José Paris
8. Ignasi Colominas

Citations in the corpus

• Topology Optimization (2009, methodology): “In literature, many different aggregation functions have been used; for example, the Kreisselmeier-Steinhauser function (KS-function) [19, 46], a lower bound KS-function [44, 47], the P-norm [39, 48], and P-mean [48].”
• Stress-based topology optimization using spatial gradient stabilized XFEM (2017, methodology): “Cheng and Jiang (1992) and Parı́s et al. (2008) have used global stress functions to approximate local stresses.”
• Stress-constrained topology optimization: a topological level-set approach (2013, background): “In Paris et al. (2009), the authors studied the weight minimization problems with global or local stress constraints, in which the global stress constraints are defined by the Kreisselmeier–Steinhauser function.”
• 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].”
• 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 energy absorbing structures with maximum damage constraint (2017, unknown): “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.”