A statistical theory of the polyaxial compressive strength of materials

doi:10.1016/0148-9062(72)90012-5

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts

Volume 9, Issue 5, September 1972, Pages 617-624

International Journa...

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Abstract

Weibull's statistical theory of strength, extended to compressive stresses, is used in calculating the influence of the intermediate principal stress on the strength. The effective shear stress τ_e = |τ_n| − μσ_n is calculated and integrated over the solid angle where τ_e > 0, and the probability of rupture in polyaxial compression is calculated. The results are in good agreement with experimental results.

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Study on the failure mechanism of a sandstone under combined compressive stresses

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Citation Excerpt :
In recent 50 years, many failure criteria have been proposed for rock materials. The weakest link theories have been applied for brittle failure in cases of uniaxial tension (Brown, 1971) and compressive conditions (Lundborg, 1972). However, it is a statistical theory.
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Modelling rock strength in three dimensions
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A statistical theory of the polyaxial compressive strength of materials

Abstract

Int. J. Rock Mech. Min. Sci.

Int. J. Rock Mech. Min. Sci.

Int. J. Rock Mech. Min. Sci.

Study on the failure mechanism of a sandstone under combined compressive stresses