Rock Failure by Tension
V. E. MIRENKOV
N.A. Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Krasnyi pr. 54, Novosibirsk, 630091 Russia
Keywords: pores, failure, rock block, equation, boundary conditions, stresses, displacements, acoustic emission, inverse problems
Abstract
The article describes procedure of solving inverse problems on identification of flat specimen failure by tension using in situ displacements and acoustic emission. Weak coherence area is defined by concentration of pores and modeled by a mathematical cut with lengthwise averaged normal tensile stresses. In places with high concentration of pores, Young’s modulus is “degraded,” i.e. deformation intensifies here and causes shear stresses. The latter are calculated by successive approximations of solutions of direct problems on specimen contour displacements and concentrated acoustic emission. In principle, under consideration are primal inverse problems of the continuum mechanics coupled with the new class of inverse problems on failure.
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