Abstract
Forcing a simpler topology than the theoretical optimum by additional constraints may have several advantages, such as ease of manufacturing, mesh independence and checkerboard control. It is shown, however, that topology simplification may result in considerable weight increases. In examining various numerical anomalies such as checkerboard patterns and diagonal element chains, it is shown analytically that their correct stiffness tends to zero.
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Rozvany , G., Querin , O., Gaspar , Z. et al. Weight-increasing effect of topology simplification. Struct Multidisc Optim 25, 459–465 (2003). https://doi.org/10.1007/s00158-003-0334-3
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DOI: https://doi.org/10.1007/s00158-003-0334-3