Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
On the Topological Derivative in Shape Optimization
SIAM Journal on Control and Optimization
Multi-Objective Optimization Using Evolutionary Algorithms
Multi-Objective Optimization Using Evolutionary Algorithms
Optimality Conditions for Simultaneous Topology and Shape Optimization
SIAM Journal on Control and Optimization
Incorporating topological derivatives into level set methods
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Multi-objective optimization of structures topology by genetic algorithms
Advances in Engineering Software - Special issue on evolutionary optimization of engineering problems
Topology optimization of compliant mechanism using multi-objective particle swarm optimization
Proceedings of the 10th annual conference companion on Genetic and evolutionary computation
Feature sensitivity: A generalization of topological sensitivity
Finite Elements in Analysis and Design
Efficient topology optimization in MATLAB using 88 lines of code
Structural and Multidisciplinary Optimization
PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab
Structural and Multidisciplinary Optimization
Efficient generation of large-scale pareto-optimal topologies
Structural and Multidisciplinary Optimization
Stress-constrained topology optimization: a topological level-set approach
Structural and Multidisciplinary Optimization
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The paper `A 99-line topology optimization code written in Matlab' by Sigmund (Struct Multidisc Optim 21(2):120---127, 2001) demonstrated that SIMP-based topology optimization can be easily implemented in less than hundred lines of Matlab code. The published method and code has been used even since by numerous researchers to advance the field of topology optimization. Inspired by the above paper, we demonstrate here that, by exploiting the notion of topological-sensitivity (an alternate to SIMP), one can generate Pareto-optimal topologies in about twice the number of lines of Matlab code. In other words, optimal topologies for various volume fractions can be generated in a highly efficient manner, by directly tracing the Pareto-optimal curve.