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Despite the advances in hardware and software techniques, standard numerical methods fail in providing real-time simulations, especially for complex processes such as additive manufacturing applications. A real-time simulation enables process control through the combination of process monitoring and automated feedback, which increases the flexibil- ity and quality of a process. Typically, before producing a whole additive manufacturing structure, a simplified experiment in form of a bead-on- plate experiment is performed to get a first insight into the process and to set parameters suitably. In this work, a reduced order model for the transient thermal problem of the bead-on-plate weld simulation is devel- oped, allowing an efficient model calibration and control of the process. The proposed approach applies the proper generalized decomposition (PGD) method, a popular model order reduction technique, to decrease the computational effort of each model evaluation required multiple times in parameter estimation, control and optimization. The welding torch is modeled by a moving heat source, which leads to difficulties separating space and time, a key ingredient in PGD simulations. A novel approach for separating space and time is applied and extended to 3D problems allowing the derivation of an efficient separated representation of the tem- perature. The results are verified against a standard finite element model showing excellent agreement. The reduced order model is also leveraged in a Bayesian model parameter estimation setup, speeding up calibrations and ultimately leading to an optimized real-time simulation approach for welding experiment using synthetic as well as real measurement data.
In this project, the transfer of material and computational models to a different material class, i. e. to an austenitic cast iron with spherical graphite, was studied to predict the lifetime of exhaust turbocharger hot parts under TMF load. Therefore, the alloy EN-GJSA-XNiSiCr35-5-2 (Ni-Resist D-5S) was chosen. Firstly, an experimental database was established for this material because it was insufficient at the beginning of the project. Tensile, creep, LCF and TMF tests were carried out, which served the calibration of the models. The TMF tests were used to validate the deformation model.
The investigated material showed a strongly deviating behavior under TMF conditions compared to the ferritic SiMo alloys investigated in the previous project: Ni-Resist exhibited a comparable strength under OP- and IP-TMF loading, while the ferritic alloys showed a distinct higher strength under IP-TMF load. Evidence for creep damage was found for Ni-Resist with increasing temperatures and hold times under tensile load. This is also a distinct difference to the SiMo alloys.
The stress-strain behavior of the LCF and TMF tests is well described by the model for the new material in most cases. The same is true for the lifetime prediction, which is within a factor of two, except for 900 °C. The model was verified by a thermal shock test of an exhaust man-ifold. The aim of the simulation was in particular to predict the crack locations. An accurate prediction of the cycle number was not expected, as the component is afflicted with a casting skin, while the test pieces were not. The predominant number of experimentally determined locations were predicted.
A fundamental objective of this project was to study the effect of HCF vibrations on the TMF lifetime experimentally in further detail and to extend the existing lifetime model to account for superimposed HCF load. In a first step, the database of the previous project based on SiMo 4.05 was considerably extended to determine the different influencing parameters. A proce-dure was developed which reproduces the lifetime reduction by the superimposed HCF vibra-tions during a TMF cycle. It is assumed that the superimposed HCF load accelerates the crack propagation considerably after exceeding a certain crack length. The time when the accelera-tion occurs, is significant for the lifetime reduction. This approach allows predicting the lifetimes in good agreement with the experiments for both materials.