Reliability-based topology optimization of continuous fibre composites

In engineering practice, design calculations are often performed with incomplete knowledge on the real values of the parameters of the structure under consideration, as the corresponding quantities are inherently variable, insufficiently quantified or a combination of both. Therefore, non deterministic modelling approaches need to be employed in order to encounter these uncertainties and propagate them throughout the initial model. In this context, the random and interval field methods have been studied extensively for univariate problems. However, the uncertainty that is present in multiple model parameters stems from a shared root cause. Therefore, the main goal remains the development of new multivariate uncertain field concepts that encounter these uncertainties along with their dependencies.