Abstract

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.

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