Applications of Non-Archimedean Analysis in the Block Hierarchical Rock Mass Mechanics
A. F. REVUZHENKO
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Krasnyi pr. 54, Novosibirsk, 630091 Russia
Keywords: геосреда, иерархия, деформация, диссипативная функция, неархимедова величина, subsurface, hierarchy, deformation, dissipation function, non-Archimedean value
Abstract
The article considers applicability of non-Archimedean analysis to multi-scale rock mass modeling based on the concept of dissipation function. In the capacity of coordinates, the author introduces non-Archimedean lines of infinite hierarchy. Basic definitions of univariate analysis are generalized for a two-dimensional case.
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