On the Topological Derivative in Shape Optimization
SIAM Journal on Control and Optimization
Optimality Conditions for Simultaneous Topology and Shape Optimization
SIAM Journal on Control and Optimization
A small feature suppression/unsuppression system for preparing B-rep models for analysis
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Concepts and Applications of Finite Element Analysis
Concepts and Applications of Finite Element Analysis
Estimating the impact of large design changes on field problems
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A 199-line Matlab code for Pareto-optimal tracing in topology optimization
Structural and Multidisciplinary Optimization
Estimating defeaturing-induced engineering analysis errors for arbitrary 3D features
Computer-Aided Design
Quantitative control of idealized analysis models of thin designs
Computers and Structures
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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Shape and topology optimization have flourished over the last two decades, resulting in a number of powerful mathematical concepts. One such concept is that of topological sensitivity that quantifies the impact of adding infinitesimal holes (within a given continuum) on specific quantities of interest such as compliance, average stress, etc. In this paper we explore a novel generalization of topological sensitivity called feature sensitivity that captures the first-order change in quantities of interest when an arbitrary internal and boundary feature is created within an existing continuum. Specific algorithms are derived for computing the feature sensitivity of linear elasticity problems, and illustrated through numerical experiments.