Abstract
It is suggested to assess plastic state of rocks around an unsupported cylindrical excavation by measured displacements of its walls. The problem (overspecified in the viewpoint of classical formulation) has a unique solution that allows calculation of stresses, strains and displacements in the plastic deformation domain, including the elastic-plastic boundary, without addressing the elastoplastic problem.
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References
Galin, L.A., Plane Elastoplastic Problem, Prikl. Matem. Mekh., 1946, vol. 10,issue 3.
Ivlev, D.D., Finding Displacements in Galin’s Problem, Prikl. Matem. Mekh., 1957, vol. 21,issue 5.
Erlikhman, F.M., Finding Displacements in Galin’s Problem, Dinamika sploshnoi sredy (Continuum Dynamics), IG SO AN SSSR, 1970, issue 4.
Annin, B.D., Plane Elastoplastic Problem with Exponential Yield Condition, Inzh. Zh., Mekh. Tverd. Tela, 1966, no. 3.
Savin, G.N. and Parasyuk, O.S., Effect of Nonuniform Stress Field on Plastic Zone at a Hole, Dokl. Akad. Nauk SSSR, 1948, no. 3.
Cherepanov, G.P., Solving Some Problems of Elasticity and Plasticity with the Unknown Boundary, Prikl. Matem. Mekh., 1964, vol. 28,issue 1.
Perlin, P.I., Elastoplastic Stress Distribution around Holes, Trudy MFTI, 1960, issue 5.
Ostrosablin, N.I., Finding Stresses in Galin’s Problem, Dinamika sploshnoi sredy (Continuum Dynamics), IG SO AN SSSR, 1970, issue 14.
Bykovtsev, G.I. and Tsvetkov, Yu.D., 2D Problem on Loading of an Elastoplastic Plane Weakened by a Hole, Prikl. Matem. Mekh., 1987, vol. 51, no. 5.
Imamutdinov, D.I. and Chanyshev, A.I., Elastoplastic Problem of an Extended Cylindrical Working, J. Min. Sci., 1988, vol. 24, no. 3, pp. 199–207.
Ostrosablin, N.I., Ploskoe uprugoplasticheskoe raspredelenie napryazhenii okolo krugovykh otverstii (Plane Elastoplastic Stress Distribution around Circular Holes), Novosibirsk, Nauka, 1984.
Khristianovich, S.A., and Shemyakin, E.I., Perfect Plasticity, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, 1967, no. 5.
Kachanov, L.M., Osnovy teorii plastichnosti (Fundamentals of the Plasticity Theory), Moscow: Nauka, 1969.
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Original Russian Text © A.I. Chanyshev, I.M. Abdulin, 2014, published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2014, No. 3, pp. 17–25.
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Chanyshev, A.I., Abdulin, I.M. Assessment of elastoplastic strains around cylindrical excavation by displacements of the excavation boundary. J Min Sci 50, 423–430 (2014). https://doi.org/10.1134/S106273911403003X
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DOI: https://doi.org/10.1134/S106273911403003X