Abstract
In topology optimization filtering is a popular approach for preventing numerical instabilities. This short note shows that the well-known sensitivity filtering technique, that prevents checkerboards and ensures mesh-independent designs in density-based topology optimization, is equivalent to minimizing compliance for nonlocal elasticity problems known from continuum mechanics. Hence, the note resolves the long-standing quest for finding an explanation and physical motivation for the sensitivity filter.
Original language | English |
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Journal | Structural and Multidisciplinary Optimization |
Volume | 46 |
Issue number | 4 |
Pages (from-to) | 471-475 |
ISSN | 1615-147X |
DOIs | |
Publication status | Published - 2012 |
Keywords
- Topology optimization
- Regularization
- Filtering