Open AccessThe Relationship between the Maximum and Minimum Principal Stresses as a Strength Criterion of Brittle Materials
Author(s) -
Turatbek Duishenaliev,
В. А. Хохлов,
Sergey Ushanov
Publication year - 2022
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/988/5/052011
Subject(s) - brittleness , limiting , envelope (radar) , consistency (knowledge bases) , principal stress , stress (linguistics) , compression (physics) , materials science , mathematics , structural engineering , mathematical analysis , geometry , composite material , engineering , cauchy stress tensor , mechanical engineering , telecommunications , radar , linguistics , philosophy
An equation is obtained that expresses the quantitative relationship between the limiting values of the smallest and largest principal stresses. Using this equation, it is possible to determine all those stress states that lead to the destruction of brittle (semi-brittle) materials, as well as to construct an envelope line of limiting stress circles of the German scientist O. Mohr. The experimental consistency of this criterion is checked in comparison with the experimental data of T. Karman, A.N. Stavrogin, M.I. Koifman and M.F. Kuntysh, obtained by testing cylindrical samples of various rocks (brittle materials) under triaxial compression.