Assistant Professor
Research Interest
Mathematical theory of Elasticity (non-linear and linear); Continuum mechanics (non-linear and linear); Mathematical modelling of smart materials; Acoustoelasticty; Electroelasticity; Magnetoelasticity; Mechanics of Composite Materials; Mechanics of fibre-reinforced materials; Incremental Elastic Deformations; Stability and Bifurcation analysis for special problems in Elasticity, Electroelasticity and Magnetoelasticity; Magneto- and Electroelastic waves in finitely deformed magneto- and electroactive materials; Biomechanics and mechanical modelling of soft biological tissues; Elastodynamics, various problems in Seismology and Geophysics: wave propagation in prestressed media and other problems; acoustoelastic effect
Dr Andrey Melnikov joined Nazarbayev University in 2022 as an Assistant Professor. Prior to that position, Dr A. Melnikov was a postdoctoral research fellow at Memorial University of Newfoundland and Labrador in Canada (2017 – 2022).
Education
- PhD in Mathematics, the University of Glasgow, UK (2017)
PhD supervisor: Professor R. W. Ogden, Fellow of Royal Society of London
- MSc, the University of Calgary, Canada (2012)
Feel free to apply for research positions, and details are here.
- Melnikov, A., & Ogden, R.W.: Finite deformations of an electroelastic circular cylindrical tube. Z. Angew. Math. Phys., 67, 140 (2016)
- Melnikov, A., Ogden, R.W.: Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field. Z. Angew. Math. Phys. 69, 60 (2018)
- Melnikov, A., Dorfmann, L., Ogden, R. W.: Bifurcation of finitely deformed thick-walled electroelastic spherical shells subject to a radial electric field. Int. J. Non-linear Mechanics. 121, 103429 (2020)
- Tadavani, S.K., Poduska, K.M., Malcolm, A.E. and Melnikov, A.: A non-linear elastic approach to study the effect of ambient humidity on sandstone. J. Appl. Phys. 128, 244902, (2020)
- Melnikov, A., Ogden, R.W., Dorfmann, L., Merodio, J.: Bifurcation analysis of elastic residually-stressed circular cylindrical tubes, International Journal of Solids and Structures, 111062, (2021)
- Melnikov, A., Merodio, J., Bustamante, R., Dorfmann, L.: Bifurcation analysis of residually-stressed neo-Hookean and Ogden electroelastic tubes. Philosophical Transactions A, 380: 20210331, (2022)
- Melnikov, A., Malcolm, A., Poduska, K.: Analysis of Landau–Lifshitz and neo-Hookean models for static and dynamic acoustoelastic testing. Physica Scripta, 97, 125012, (2022)
- MATH 161 Calculus I
- MATH 162 Calculus II
