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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2021, Volume 53, Issue 4, Pages 312–316 (Mi pmf317)

PHYSICS. MATHEMATICAL MODELING

Probability distribution of critical tensions of sample break of porous material

Yu. P. Virchenkoa, I. Shapolovab

a Belgorod State Technological University named after V. G. Shukhova
b Belgorod State National Research University

Abstract: Porous materials are studied in frameworks of phenomenological representations of general physics. The statistical model for theoretical description of origin conditions of such microcracks in volume samples which leads to their transverse break is proposed. The break occurs due to the cracks growth when the external directed ultimate elastic power is applied which exceeds the material ultimate strength. On the basis of the model the probability of fragile destruction of the sample is calculated as the function of pores concentration.

Keywords: Griffith' law, concentration, microcrack, ultimate strength, pores distribution, fragile destruction, statistical independence.

Received: 28.12.2021

DOI: 10.52575/2687-0959-2021-53-4-312-316



© Steklov Math. Inst. of RAS, 2024