| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 801224 | Physical Mesomechanics | 2008 | 14 Pages |
Abstract
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.
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Authors
S.V. Lavrikov, O.A. Mikenina, A.Ph. Revuzhenko, E.I. Shemyakin,