Christian Müller, M. Sc.

TSM (Time-separated Stochastic Mechanics) is a new approach for the efficient consideration of fluctuations in material parameters and loads in numerical simulations. In this context, the question arises how fluctuations in non-local effects can be taken into account. Non-local effects occur, for example, in thermo-mechanical coupling when the elastic and thermal constants fluctuate locally over spaces. Non-local effects also appear in gradient-enhanced damage models. Here, the examination of which parameter (e.g. elastic constant) has the greatest influence on the stochastic fluctuation is of particular importance. This allows failures to be predicted more reliably and important process parameters to be identified.If the process parameters that have a particularly strong influence on the stochastic fluctuation are known, the focus inproduction could be placed on controlling those parameters. This leads to an increase in the reliability of simulations and therefore also of components. This results in even greater sustainability in mechanical engineering.