In PTW model, control parameters that define the three-dimensional validation domain are the strain (İ), temperature (T) and strain rate (dİ/dt). Symbols ıS and ıY denote the dimensionless work hardening saturation stress and yield stress, respectively. The seven symbols ș, ț, Ȗ, s0, s, y0 and y are dimensionless, calibration variables that depend on the material analyzed. 5.1 PTW Model for Tantalum Metal The six experimentally obtained strain-stress curves of the Tantalum material, each referred to as a dataset, are depicted in Figure 2. These datasets are conducted at varying control parameter settings indicated in Table 1. Each of these six datasets is subjected to a constant temperature and strain-rate, while strain is varied from zero to their maximum value yielding a stress-strain curve. Figure 2: Experiments conducted at varying settings of temperature and strain rate. Table 1: Settings of temperature and strain rate for the available experiments. Data Set ni Strain (max) Temperature (K) Strain Rate (s -1) 1 29 0.2433 298 1300 2 32 0.9757 298 0.001 3 10 0.1057 298 0.1 4 27 0.1737 673 2600 5 31 0.2218 1073 3900 6 31 0.1735 77 0.001 440
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