Ill-Posed Problems of Geomechanics
V. E. Mirenkov
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091 Russia
Keywords: Трещина, решение, бесконечные напряжения, некорректность, ограниченность, нелинейность, метод, Fracture, solution, infinite stresses, ill-posedness, boundedness, nonlinearity, method
Abstract
The classical solution of elasticity problem on deformation of a plane weakened by a mathematical cut under wedging by constant forces is analyzed. The ill-posedness of the classical failure mechanics statements for problems with angular points is demonstrated. The approximate solution is constructed for deformation of continuum in the vicinity of a cut under small strains.
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