## 1 Introduction  
High-speed production processes such as electromagnetic or electrohydraulic forming and high-speed impact cutting have a high potential for industrial production because of the many advantages compared with standard processes, such as high deformation capacity, high shear quality, etc. [1; 2; 3]. It is well known that the availability of an accurate FEM modeling for molding processes is a key means for industrial implementation of technologies and therefore enables the exploitation of process-specific advantages. In general, modern process simulation requires constitutive material models to describe plasticity. These models must reflect the essential relationships between yield strength and stress state, strain rate, and temperature for the specific material. In addition to the description of the yield surface as part of the plasticity characteristic, this includes the isotropic or kinematic hardening law, which is basically an empirical functional dependence on strain, strain rate, and material temperature. In order to account for the strain rate sensitivity of materials, material models that are optimized for high-speed processes and that take into account the strain-rate sensitivity of the materials can be used. Starting from a range of relatively low strain rates between 0.01/s and 0.1/s, significant differences in material behavior can already be seen, as shown by the example of steel 316 L in [4]. In [5], the effect of sensitivity to the strain rate of various types of high-strengthsteels, in the range of strain rates from quasi-static to 200/s, was considered. In this study, a dependence in the form of a 10% increase in the yield strength value of the material with a six-fold increase in the strain rate was found. A higher range of strain rates of up to \(10^{3}\)/s was investigated in [6] using TWIP steel as an example, and the instantaneous strain rate sensitivity (ISRS), which changes with strain rate hopping due to thermally activated dislocation motion dominated by intergranular carbon atoms, was examined. Therefore, it is also important to evaluate the effect and the development of temperature changes in samples with different strain rates [7]. Apart from the strain rate influence on the material plasticity, it is equally important to use fracture models that take into account the strain rate for modeling high-speed deformation processes. Many currently known damage and fracture models allow for the dependence of the fracture strain on the strain rate. For example, the fracture criterion in the Johnson-Cook model [8] describes a plasticity and damage model based on the Gourson flow surface taking strain rate into account. Another common example is the G\(\ddot{\text{u}}\)rson damage model [9], with an extension by [PERSON] and [PERSON] [9; 10], based on a micromechanical model describing growth and nucleation of spheroidal cavities in rigid plastic materials. In combination with the forming simulation, the calculated void volume fraction f serves as a damage parameter for crash simulation [11]. Other purely phenomenologically motivated models with directly defined fracture surface curves, such as GISSMO, offer the possibility of scaling and modifying these curves or surfaces depending on the strain rate [12; 13]. Given the strain rate dependence, in some cases, a non-self-similar shift of the fracture curves or fracture surfaces may be required. This means that constant scaling of the fracture strain-rate-dependent fracture curve is not sufficient and it is reasonable to use a triaxial modification, for example. For modeling both plasticity and damage in addition to strain rate, temperature effects are also decisive. In forming technology, a large part (85-95%) of the energy introduced into the workpiece is converted into heat. Especially at high forming speeds and correspondingly short process times, the heat generated can hardly be dissipated from the material, resulting in quasaidaidaic behavior.