TOPOLOGY OPTIMIZATION has been extensively studied by many many researchers all over the world. Although its application in actual engineering has gotten great progress, it has many limitations. Our research team is working on topology optimization when uncertainties are involved, which, in other words, may say that our research interest is just the combination of the theory of topology optimization and uncertainty (Gaussian or interval et al.). So many research articles have been published about TOPOLOGY OPTIMIZATION, but few works about our research interest. Anyway, the excellent works done by the international researchers are various, so my question is: in the current state, what is the most challenging or meaningful in the research field of topology optimization? Please forget the review papers published recently, just talk about this topic with the help of your working experience.
Best regards,
In the deterministic topology optimization, we get a unique solution for a given design space, however, when integrating the uncertainty concept, we can generate several solutions with different reliability levels. This way we can select the suitable resulting structure taking into account other constraints. This is the main advantage of the topology optimization under uncertainty.
While some progress has been made in the issue of convergence stability in the case where volumes/thicknesses tend to zero, I do not think we yet have fully solved all problems related to possible "checkerboards" - that is, when we look at discretized representations in the limit.
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