Determination of Physico-Mechanical Properties of Geomaterials Based on Nanoindentation Tests and Fractional Models
M. A. ZHURAVKOV, N. S. ROMANOVA
Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030 Belarus
Keywords: физико-механические свойства пород и кристаллов, модели дробного порядка, расчет модуля упругости углеводородов с нанодобавками, physico-mechanical properties of rocks and crystals, fractional models, calculation of elastic modulus for hydrocarbons with nano-additives
Abstract
The article focuses on efficient analysis and test methods to determine nano- and micro- physico-mechanical properties of rocks and crystals. A modification of the classical elastic problems of contact mechanics implemented using the mathematical apparatus of fractional integro-differentiation is proposed. The authors build new models and algorithms aimed to advance the studies into properties and states of geomaterials based on the atomic-force microscopy techniques, and describe testing of the new approaches in calculation of the elastic modulus for hydrocarbons with nano-additives.
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