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Zhuravkov Michael A., Dr. Phys.-Math. Sc., Professor, Minister of Education of the Republic of Belarus, Ministry of Education of the Republic of Belarus, Minsk

Romanova Natalie S., Research Associate of the Theoretical and Applied Mechanics Department, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Prohorov Nicholas A., Master’s student of the Mechanics and Mathematical Faculty, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section BIOMECHANICS
Year 2015 Issue 1 Pages 47-57
Type of article RAR Index UDK 539.2/6+612.76+519.68: [5/6+3] Index BBK  
Abstract This paper is the first part of the series of works which are devoted to development of analytical and experimental methods to estimate the physical and mechanical properties of biomaterials and biostructures. Proposed methods are designed on the basis of nanoindentation and atomic force microscopy (AFM). Analysis and comparison of the obtained solutions for different forms of indenter bottom are presented in this part of general series of papers. Here modifications of classical contact mechanics models are offered to model the nanoindentation processes. In particular the modification of classical elastic solution on the base of a fractional calculus is offered and shown. The analysis of new solutions was made to study the properties of erythrocytes for control group patients.
Keywords physic-mechanical characteristics of biomaterials, models of contact mechanics for the nanoindentation processes, fractional order models of a nanoindentation
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