Deformation and failure of originally isotropic media under the mises strength condition
A model of an originally isotropic material is constructed from rigid particles — blocks. Any deformation of the model is presented as a sum of simple shears and lengthenings. Simple shears occur due to overcoming of friction forces on contact surfaces. The model does not assume an elastic or a quasi-elastic deformation in the second principal direction. Failure is considered as a decrease in resistance as strains increase. For the plane strain state, under the Mises strength condition, the equation of failure, the characteristics and the relations on the characteristics are determined, as well as the statements of the problem on failure are analyzed.
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