proposed a new methodology to determine the flow behavior through indentation plastometry, which may become a future stream. provide acceptable practices and a complete description of the hot compression test. Thus, the forging operation allows obtaining the final shape close to the desire and, in some cases, even the final shape itself (precision forging). This process is material's compressive, applied by tools, which highly correspond to the industrial processes. Compression tests have been widely used for massive metal forming operations, like bulk forging. When a computer-aided process is carried out, it is accepted that the characterization should be performed in a way that represents, with significance, the actual procedure. It is well known that an accurate description of material behavior under varying conditions is highly beneficial for computer simulations. However, simulation results' accuracy relies on the data quality and the range of these parameters such range should cover the entire range of the analyzed process. These standards are essential in order to obtain reliable results that may be used during process design and analysis, which nowadays involve the utilization of Fine Element Modeling (FEM). In most cases, it even is possible to find a standard procedure. Although these tests have some drawbacks, their realization is simple and well established. Uniaxial tests are the mainstream test used by scientists and engineers for mechanical behavior characterizations as well as damage model calibration and validation. In addition, the ALE approach accuracy for thermomechanical modeling was verified. It was concluded that some areas in both paths might be considered as approximately under pure compression stress state. Two paths were defined to study the stress state inside the sample, in the radial direction (equator line) and axial direction (axial line). The results from both models are in good agreement between them and agree with the force vs. The Lagrangian model was done in QForm, and the ALE model was done in LS-Dyna. However, it is not possible to achieve ideal conditions in actual experiments. Ideally, under pure compression, these parameters' values are − 1/3 and − 1, respectively. The stress state is evaluated through the triaxiality factor and Lode parameter. After that, a study on the material's stress state evolution inside the specimen is provided. This comparison aims to verify the ALE's approach suitability for modeling thermomechanical processes. In this study, a comparison between the well-established Lagrangian approach and the Arbitrary Lagrangian–Eulerian (ALE) approach is presented.
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