The subproject deals with the modelling and simulation of plasticity and damage during mechanical joining processes in the context of the intended versatility of the processes. On the one hand, material models are developed, numerically implemented robustly and efficiently, and validated experimentally. On the other hand, a numerical method, the so-called Parametric Finite Element Method (PFEM), is developed further, which enables the efficient computation of a large number of material-geometry-combinations and thus represents the ideal solution method for the simulation of versatile processes.
The mechanical joining processes considered in the TRR are accompanied by very large local inelastic deformations. In particular, this results in a strong coupling of finite plasticity and damage. For a better understanding of these mesostructural phenomena occurring during the joining process, suitable material models and their use in the process simulation are indispensable. The development of these material models and their application to a virtual optimisation of the process control are key aspects of this project.
Moreover, the considered mechanical joining processes, such as clinching or self-pierce riveting, are characterised by high demands on the versatility. Targeted changes within the process chain – concerning the semi-finished product, the joint or the joining process – should be possible. The process simulation ought to consider these requirements for versatility and ideally consider such variations from the start. This results in the second focus of the present subproject. The PFEM is extended to include plasticity and damage and is used to simulate mechanical joining processes. In addition to the usual physical coordinates discretising the space, the PFEM introduces additional parametric coordinates that represent one or more geometric or material parameters of the joint. The solution of this higher-dimensional problem simultaneously and very efficiently provides the solutions for continuous variations (instead of a very time-consuming discrete sampling) of these parameters and thus allows a direct comparison of different process variants in light of their versatility.
In summary, the goal of subproject A05 are (i) the physically non-linear and geometrically exact material modelling of coupled plasticity and damage, (ii) their physically motivated regularisation and (iii) the numerical implementation of the models for process simulation within the PFEM to account for the desired versatility of the joining processes.