Dr Nikolay Perepelkin, Lecturer

Dr Nikolay Perepelkin

Lecturer

Dr Nikolay Perepelkin is an academic and research professional with 10+ years experience in academia. His activity is mainly focused in the areas of Solid Mechanics, Structural Mechanics, Computational Methods, and Engineering Mathematics. Nikolay holds the Mechanical Engineer-Researcher qualification (master's degree) and PhD degree in Mechanics.

Nikolay started teaching activity as part-time Assistant Lecturer in 2008, while still working on his PhD dissertation, and progressed to full-time Associate Professor in the Department of Applied Mathematics at National Technical University "Kharkiv Polytechnic Institute" (Kharkiv, Ukraine) in 2016. During that period, he developed and delivered curriculum in Engineering Mathematics, and acted as Module Leader. Until 2017, his research activity was focused on fundamental aspects of mathematical description of vibrations in nonlinear mechanical systems, using analytical and analytical-numerical approaches. Dr Perepelkin is a member of Organizing Committee of the "Nonlinear Dynamics" Conference held every few years in Kharkiv, Ukraine.

In 2017, Dr Perepelkin was awarded £150k three years Individual Fellowship at Cardiff University, UK. The project entitled "Cross-Disciplinary Approaches to Evaluation of Elastic and Adhesive Properties of Micro/NanoThick Objects" was devoted to the identification of mechanical and adhesive properties of materials available in the form of thin coatings, or in very small quantities. The methodology was based on building a mathematical model of depth-sensing indentation experiments (in particular, involving smooth indenters), either analytically or numerically, and subsequent fitting the model to the real experimental data. The developed methods can be potentially used for: (i) industrial applications of non-destructive quality control and state monitoring of thin and ultra-thin coatings, e.g. protective, tribological ones; (ii) in-situ biological and medical studies at level of tissues and individual cells, as mechanical properties of cells often correlate with environment conditions (e.g. presence of medication); (iii) intrinsic account of adhesion allows to use the developed methods for materials characterization at micro/nano-level, which is important for Nano-Science (e.g. nano-manufacturing). Dr Nikolay Perepelkin is currently a Lecturer in the Civil Engineering Group within the School of Built Environment, Engineering and Computing.

Research Interests

Specialism:

  • Solid Mechanics/Structural Mechanics
  • Dynamics
  • Computational Methods
Current research is dedicated to various aspects of modelling in Contact Mechanics. Modelling of mechanical contact is used to describe structural integrity of contacting objects (e.g. contact of a building foundation and soil). They are also closely related to the phenomenon of friction, which is often undesirable, as it leads to wear and energy loss.

Dr Nikolay Perepelkin, Lecturer

Selected Outputs

  • Perepelkin NV; Borodich FM (2021) Explicit transformation between non-adhesive and adhesive contact problems by means of the classical Johnson–Kendall–Roberts formalism. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379 (2203), pp. 20200374-20200374.

    https://doi.org/10.1098/rsta.2020.0374

  • Perepelkin NV; Borodich FM; Kovalev AE; Gorb SN (2019) Depth-Sensing Indentation as a Micro- and Nanomechanical Approach to Characterisation of Mechanical Properties of Soft, Biological, and Biomimetic Materials. Nanomaterials, 10 (1),

    https://doi.org/10.3390/nano10010015

  • Perepelkin NV; Argatov II; Borodich FM (2019) Evaluation of elastic and adhesive properties of solids by depth-sensing indentation. The Journal of Adhesion, pp. 1-42.

    https://doi.org/10.1080/00218464.2019.1686981

  • Borodich FM; Galanov BA; Perepelkin NV; Prikazchikov DA (2019) Adhesive contact problems for a thin elastic layer : Asymptotic analysis and the JKR theory. Mathematics and Mechanics of Solids, 24 (5), pp. 1405-1424.

    https://doi.org/10.1177/1081286518797378

  • Perepelkin NV (2018) Non-iterative Rauscher method for 1-DOF system : a new approach to studying non-autonomous system via equivalent autonomous one. Nonlinear Dynamics, 93 (1), pp. 149-166.

    https://doi.org/10.1007/s11071-017-3841-2