JLIB_HTML_SKIP_TO_MAIN_CONTENT
Mechanics of Machines, Mechanisms and Materials

1_2015_sen_9

Title of the article DEFINITION OF BIOMATERIALS' PROPERTIES ON BASE OF THE NANOINDENTATION TECHNOLOGIES. PART 2. TECHNIQUES FOR DETERMINING THE POINT OF CONTACT IN THE METHOD OF FORCE SPECTROSCOPY
Authors

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

Romanova N.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.

Prohorov N.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.
In the section BIOMECHANICS
Year 2015 Issue 1 Pages 58-65
Type of article RAR Index UDK 539.2/.6+612.76+519.68: [5/6+3] Index BBK  
Abstract This paper is a 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). Modification of the Crick’s algorithm for solving the contact problem for conical types of probe with spherical base was proposed. Sneddon’s solution was used to determine the value of the elastic modulus. Obtained algorithm was examined to determine the elastic modulus of erythrocytes of patients before and after treatment of acute coronary syndrome.
Keywords modification of the Crick’s algorithm, Sneddon’s solution, physic-mechanical characteristics of biomaterials, models of contact mechanics for the nanoindentation processes
  You can access full text version of the article.
Bibliography
  • Argatov I.I. Depth-sensing indentation of a transversely isotropic elastic layer: second-order asymptotic models for canonical indenters. Int. Journal of Solids and Structures, 2011, vol. 48, pp. 3444–3452.
  • Suslov A.A., Chizhik S.A. Skanirujushhie zondovye mikroskopy (obzor) [Scanning probe microscopes (review)]. Materialy, Tehnologii, Instrumenty [Materials, Technologies, Tools], 1997, vol. 2 (3), pp. 78–89.
  • Alonso J.L., Goldmann W.H. Feeling the forces: atomic force microscopy in cell biology. Life Science, 2003, vol. 72(23),pp. 2553–2560.
  • Stifter T., Marti O., Bhushan B. Theoretical investigation of the distance dependence of capillary and van der Waals forces in scanning force microscopy. Phys. Rev. B, 2000, vol. 62. 13667 p.
  • Jang J., Schatz G.C., Ratner M.A. Capillary force in atomic force microscopy. The Journal of chemical physics, 2004, vol. 120, no. 3, pp. 1157–1160.
  • De Lazzer A., Dreyer M., Rath H.J. Particle-surface capillary forces. Langmuir, 1999, vol. 15, no. 13, pp. 4551–4559.
  • Sedin D.L., Rowlen K.L. Adhesion forces measured by atomic force microscopy in humid air. Analytical chemistry, 2000, vol. 72, no. 10, pp. 2183–2189.
  • Rabinovich Y.I. [et al.]. Capillary forces between surfaces with nanoscale roughness. Advances in colloid and interface science, 2002, vol. 96, no. 1, pp. 213–230.
  • Heim L.O., Kappl M., Butt H.J. Tilt of atomic force microscope cantilevers: effect on spring constant and adhesion measurements. Langmuir, 2004, vol. 20, no. 7, pp. 2760–2764.
  • Takeyasu K. Atomic Force Microscopy in nanobiology. Pan Stanford Publishing, 2014. 458 p.
  • Butt H., Cappella B., Kappl M. Force measurements with the atomic force microscope: Technique, interpretation and applications. Surface Science Reports, 2005, vol. 59 (1-6), pp. 1–152.
  • Zhuravkov M., Drozd L., Romanova N., Krupoderov A. Mechanical-mathematical modelling of biological tissue behaviour. Analytic Methods in Interdisciplinary Applications. Springer Proccedings in Mathematics & Statistics, 2015, vol. 116, pp. 153–181.
  • Buzio R., Valbusa U. Probing the role of nanoroughness in contact mechanics by Atomic Force Microscopy. Advances in Science and Technology, 2006, vol. 51, pp. 90–98.
  • Tranchida D., Piccarolo S. Local Mechanical Properties by Atomic Force Microscopy Nanoindentations. Applied Scannin. Probe Methods XI. Springer Berlin Heidelberg, 2009, pp. 165–198.
  • Barash Y.S. Sily Van-der-Vaal'sa [Van der Waals force]. Moscow, Science, 1988. 344 p.
  • Crick S.L., Yin F.C.P. Assessing micromechanical properties of cells with atomic force microscopy: importance of the contact point. Biomechan Model Mechanobiol, 2007, vol. 6, pp. 199–210.
  • Gouliaev N. Magnetic Force Microcsopy and the Scanning
  • SQUID Microscope. Conden-sed Matter Physics II, 1996, no. 8, pp. 11–16.
  • Szoszkiewicz R., Riedo E. New AFM developments to study elasticity and adshesion at the nanoscale. Applied Scanning Probe Methods V. Springer Berlin Heidelberg, 2007, pp. 269–286.
  • Dimitriadis E.K. [et al.]. Determination of elastic moduli of thin layers of soft material using the atomic force microscope. Biophysical journal, 2002, vol. 82, no. 5, pp. 2798–2810.
  • Pharr G.M., Oliver W.C., Brotzen F.R. On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. Journal of Materials Research, 1992, vol. 7, no. 03, pp. 613–617.
  • Merchan L., Szoszkiewicz R., Riedo E. NanoMechanics: elasticity in nano-objects. Fundamentals of Friction and Wear. Springer Berlin Heidelberg, 2007, pp. 219–254.
  • Fung Y.C. Biomechanics: material properties of living tissues. Springer, 1993.
  • Sneddon I.N. The relation between load and penetration in the axis symmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Engng Sci., 1965, vol. 3, pp. 47–57.
  • Sneddon I.N. Fourier Transforms. McGra-Hill, New York, 1951. 542 p.