Three-stage Kinetic Model for Self-decaying of Defects in Brittle Solids

Authors V.I. Teslenko, O.L. Kapitanchuk

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b, Metrolohichna St., 03680 Kyiv, Ukraine

Issue Volume 12, Year 2020, Number 6
Dates Received 04 August 2020; revised manuscript received 17 December 2020; published online 25 December 2020
Citation V.I. Teslenko, O.L. Kapitanchuk, J. Nano- Electron. Phys. 12 No 6, 06017 (2020)
PACS Number(s) 05.70.Ln, 31.70.Hq, 42.60.Lh
Keywords Brittle solids, Self-decaying defect states, System failure, a-Al2O3 performance.

Based on the density matrix method for a general nonequilibrium system consisted of a number of fluctuating in energy phonon-dressed states weakly coupled to the equilibrium environment, and using the concept of self-decaying defect states in terms of the three-stage framework for the defect dynamics, the applied cumulative stress distribution of a failure probability for the non-stationarypopulation of peak amplitudes of intermediate state of the three-state decaying nonequilibrium system are found. It is shown that the theoretical cumulative distribution determined for this state in terms of the respective solution of transcendent equation for the maximum of population is in direct correspondence with the damage probability of the whole system and therefore should be in agreement with the experimental cumulative distribution of the irreversible failure of the system observed on flexural testing of the brittle solids. In the proposed formalism, it is established that a-plane sapphire is advanced in its brittle performance.As such it is concluded that a-Al2O3 has not only far more strength, but reveals a noticeably higher competitive advantage as compared to CVD-ZnSe. This conclusion agrees well with the corresponding experimental observations provided in respective IR-transmitting window materials for the a-Al2O3 and CVD-ZnSe.

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