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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2022, Volume 54, Issue 2, Pages 131–136 (Mi pmf340)

PHYSICS. MATHEMATICAL MODELING

Statistical approach of the determination of the tensile strength of solid porous material

Yu. P. Virchenkoa, I. Shapolovab

a Belgorod State Technological Shukhov University
b Belgorod National Research University

Abstract: The statistical model constructed in the previous works of the authors is analyzed. It allows to link the probability of the sample rupture under the action of an external load which stretches this sample if it represents a porous solid-state material. The catastrophic phenomenon of sample rupture is interpreted as a phase transition. The sensile strength p* of the material is calculated as a function of the pore density inside the sample.

Keywords: microcrack, sensile strength, fragile destruction, porous distribution, density, statistically independent random values.

Received: 29.06.2022
Accepted: 29.06.2022

DOI: 10.52575/2687-0959-2022-54-2-131-136



© Steklov Math. Inst. of RAS, 2024