Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
An extended level set method for shape and topology optimization
Journal of Computational Physics
Overview on Innovation of Topology Optimization in Vehicle CAE
ICECT '09 Proceedings of the 2009 International Conference on Electronic Computer Technology
A level set method for structural shape and topology optimization using radial basis functions
Computers and Structures
Application of Topology Optimization to Commercial Vehicle Cab Design
ICMTMA '09 Proceedings of the 2009 International Conference on Measuring Technology and Mechatronics Automation - Volume 02
Evolutionary level set method for structural topology optimization
Computers and Structures
Finite Elements in Analysis and Design
Stress-based topology optimization using an isoparametric level set method
Finite Elements in Analysis and Design
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
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We present a new method for performing level set topology optimization of structures confined to irregularly-shaped physical domains. The shape sensitivities are computed in physical space using a body-fitted, non-uniform finite-element mesh. These values are then mapped to the Euclidean computational space using the Jacobian matrix of the isoparametric transformation taking place within each cell. The method is demonstrated on a three-dimensional problem in which we minimize the compliance of a contoured wingbox structure. Results show that the method converges consistently, and generates solutions comparable to those obtained using the SIMP method.