Concepedia

A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties

Lei Wang, Dongliang Liu, Yaowen Yang, Xiaojun Wang, Zhiping Qiu

Computer Methods in Applied Mechanics and Engineering · 2017 · 153 citations · 46 references

Concepts

Natural SciencesComputational EngineeringMathematicsOptimizationTopologyUncertainty QuantificationOptimization Under UncertaintyReliability-based DesignRobust OptimizationStructural OptimizationStructural ReliabilityTopology OptimizationContinuum Structural OptimizationReliability-based Topology OptimizationStructural Reliability OptimizationStructural Topology OptimizationTopology Optimization Under Uncertainty

References

46

Generating optimal topologies in structural design using a homogenization method

Martin P. Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · 1988 · 7.3K citations · Full text

Engineering, Design, Design Optimization +10

The method of moving asymptotes—a new method for structural optimization

Krister Svanberg · International Journal for Numerical Methods in Engineering · 1987 · 5.4K citations

Natural Sciences, Mathematics, Design Optimization +11

Optimal shape design as a material distribution problem

Martin P. Bendsøe · Structural and Multidisciplinary Optimization · 1989 · 4.4K citations

Architecture, Manufacturing Engineering, Mathematics +12

A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.2K citations

Engineering, Computational Engineering, Mathematics +12

Material interpolation schemes in topology optimization

Martin P. Bendsøe, Ole Sigmund · Archive of Applied Mechanics · 1999 · 2.8K citations

Natural Sciences, Materials Engineering, Mathematics +14