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Limit state and failure criteria for media with perfect cohesion and flowability

  • Rock Failure
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Abstract

The authors suggest formulating limit state and failure criteria using the known and new stress tensor invariants. The new stress tensor invariants are constructed as average and shear stresses, as well as their ratios in all areas intersected by principal directions of stress tensor. The use of the obtained limit conditions is exemplified in terms of deriving equations of geomedium deformation based on the associated flow law.

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References

  1. Vinogradov, V.V., Geomekhanika upravleniya sostoyaniem massiva vblizi gornykh vyrabotok (Geomechanics of Control of a Rock Mass near Mine Openings), Kiev: Naukova dumka, 1989.

    Google Scholar 

  2. Stavrogin, A.N. and Tarasov, B.G., Eksperimental’naya fizika i mekhanika gornykh porod (Experimental Physics and Mechanics of Rocks), Saint-Petersburg: Nauka, 2001.

    Google Scholar 

  3. Litvinsky, G.G., Analiticheskaya teoriya prochnosti gornykh porod i massivov (Analytical Theory of Strength of Rocks and Rock Masses), Donetsk: Nord-Press, 2008.

    Google Scholar 

  4. Novozhilov, V.V., Teoriya uprogosti (Theory of Elasticity), Moscow: Sudpromgiz, 1956.

    Google Scholar 

  5. Revuzhenko, A.F., Rock Failure Criteria Based on New Stress Tensor Invariants, J. Min. Sci., 2014, vol. 50, no. 3, pp. 437–442.

    Article  Google Scholar 

  6. Radaev, Yu.N., An Attainable Lower Estimate of 3D Coulomb-Tresca Invariant by Systems of “2D” Shear Stresses, Vestn. ChGPU Yakovlev, Ser. Mekh. Predel. Sost., 2012, no. 4(14).

    Google Scholar 

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Correspondence to A. F. Revuzhenko.

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Original Russian Text © O.A. Mikenina, A.F. Revuzhenko, published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2014, No. 4, pp. 55–60.

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Mikenina, O.A., Revuzhenko, A.F. Limit state and failure criteria for media with perfect cohesion and flowability. J Min Sci 50, 660–664 (2014). https://doi.org/10.1134/S106273911404005X

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  • DOI: https://doi.org/10.1134/S106273911404005X

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