Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Structural boundary design via level set and immersed interface methods
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
Concepts and Applications of Finite Element Analysis
Concepts and Applications of Finite Element Analysis
Topology design of two-dimensional continuum structures using isolines
Computers and Structures
Evolutionary methods for topology optimisation of continuous structures with design dependent loads
Computers and Structures
An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh
Computers and Structures
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This paper proposes an evolutionary accelerated computational level set algorithm for structure topology optimization. It integrates the merits of evolutionary structure optimization (ESO) and level set method (LSM). Traditional LSM algorithm is largely dependent on the initial guess topology. The proposed method combines the merits of ESO techniques with those of LSM algorithm, while allowing new holes to be automatically generated in low strain energy within the nodal neighboring region during optimization. The validity and robustness of the new algorithm are supported by some widely used benchmark examples in topology optimization. Numerical computations show that optimization convergence is accelerated effectively.