The concept of non-Archimedean multiscale space and models of plastic media with structure

The description of deformation processes occurring at different scale levels requires that adequate mathematical tools be developed. We construct a multiscale (non-Archimedean) line. Using it as a coordinate axis, we introduce multiscale space and time. Basic notions of non- Archimedean mathematical analysis are formulated. In the framework of the made constructions we consider a plastic model of rock and numerically solve a problem on a long mine opening.