Journal article
Sensitivity filtering from a continuum mechanics perspective
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.
Language: | English |
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Publisher: | Springer-Verlag |
Year: | 2012 |
Pages: | 471-475 |
ISSN: | 16151488 and 1615147x |
Types: | Journal article |
DOI: | 10.1007/s00158-012-0814-4 |
ORCIDs: | Sigmund, Ole |