Abstract

It is known that the {100} and {111} planes of cubic crystals subjected to uniaxial deviatoricstress conditions have strain responses that are free from the effect of lattice preferredorientation. By utilizing this special character, one can unambiguously and simultaneouslydetermine the mean pressure and deviatoric stress from polycrystalline diffraction data ofthe cubic sample. Here we introduce a numerical tensor calculation method based on thegeneralized Hooke’s law to simultaneously determine the hydrostatic component of thestress (mean pressure) and deviatoric stress in the sample. The feasibility of this methodhas been tested by examining the experimental data of the Au pressure markerenclosed in a diamond anvil cell using a pressure medium of methanol–ethanolmixture. The results demonstrated that the magnitude of the deviatoric stress is∼0.07 GPa at the mean pressure of 10.5 GPa, which is consistent with previous results of Austrength under high pressure. Our results also showed that even a small deviatoric stress(∼0.07 GPa) could yielda ∼0.3 GPa meanpressure error at ∼10 GPa.

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