Geodesic
Estimation of dynamic yield stress by Taylor test with reduced cylindrical head part of samples
Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 3, pp. 399-409

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A simple method is proposed to estimate the dynamic yield stress of materials using modified Taylor tests for high-velocity impact of profiled cylinders with a reduced diameter of the head part. Assuming the uniformity of deformations and stresses in the head part, formulas are derived for estimating the yield stress and strain rate from the change in the length of the reduced head part, as well as the mass of the sample and the impact velocity. This estimation is verified by comparison with the results of numerical calculations by the SPH method based on the dislocation plasticity model parameterized for cold-rolled oxygen-free copper. It is shown that the stopping time of the sample and the strain rate are reproduced with good accuracy, and the shear strength estimate gives an error that increases with the impact velocity. At velocities that do not lead to deformation of a wide part of the sample (up to 90 m/s in the case under consideration), the error increases linearly up to 30%, which can be taken into account by a correction factor. The proposed estimate, taking into account the correction factor, was applied to analyze the results of previous experiments; the obtained values correspond to the literature data on the rate dependence of the shear strength.
Keywords: Taylor impact test, profiled cylinder, SPH, dislocation plasticity, estimation of dynamic yield stress. 
@article{CHFMJ_2023_8_3_a6,
     author = {E. S. Rodionov and A. E. Mayer},
     title = {Estimation of dynamic yield stress by {Taylor} test with reduced cylindrical head part of samples},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {399--409},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_3_a6/}
}
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E. S. Rodionov; A. E. Mayer. Estimation of dynamic yield stress by Taylor test with reduced cylindrical head part of samples. Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 3, pp. 399-409. http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_3_a6/