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
The spectral overlay on finite elements for problems with high gradients
Computer Methods in Applied Mechanics and Engineering
Structural boundary design via level set and immersed interface methods
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization
Structural and Multidisciplinary Optimization
Engineering feature design for level set based structural optimization
Computer-Aided Design
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
Numerical instabilities in level set topology optimization with the extended finite element method
Structural and Multidisciplinary Optimization
Hi-index | 0.00 |
In this paper, we implement the extended finite element method (X-FEM) combined with the level set method to solve structural shape and topology optimization problems. Numerical comparisons with the conventional finite element method in a fixed grid show that the X-FEM leads to more accurate results without increasing the mesh density and the degrees of freedom. Furthermore, the mesh in X-FEM is independent of the physical boundary of the design, so there is no need for remeshing during the optimization process. Numerical examples of mean compliance minimization in 2D are studied in regard to efficiency, convergence and accuracy. The results suggest that combining the X-FEM for structural analysis with the level set based boundary representation is a promising approach for continuum structural optimization.