Supercomputer Modeling of Wave Propagation in Blocky Media Accounting Fractures of Interlayers

Abstract

To analyze the propagation of stress waves in structurally inhomogeneous materials, we use the method of direct numerical simulation based on a mathematical model of a blocky medium with elastic blocks interacting through compliant elastic-plastic interlayers, and a model of nonlinear theory of the orthotropic Cosserat continuum that takes into account the shear and rotational nature of irreversible deformation. The continuum model is formulated as a variational inequality, correctly describing both the state of an elastic-plastic flow of a material under active loading and the state of elastic unloading. In the model of a blocky medium, variational inequalities are used to describe the plastic deformation of interlayers between the blocks and to simulate cracks moving along the interlayers. Parallel computational algorithms and author’s software codes for multiprocessor computer systems of cluster architecture are used in the numerical implementation of mathematical models. In 2D setting, a problem of pulse loading of a rectangular blocky rock mass of the masonry type through a platform is studied. A good correspondence between the results of computations is obtained on qualitative and quantitative levels.