About
Dr. Pankaj Popatrao Kanase is an active researcher, educator, and innovator in mathematics. He has 3 years of teaching experience. He holds a PhD in Mathematics from SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamil Nadu, with his doctoral thesis focusing on an analytical study of wave propagation in functionally graded structures. He qualified for the SET and holds an M.Sc. in Mathematics from S.R.T.M. University, Nanded, and a B.Sc. in Mathematics from Shivaji University, Kolhapur, both in Maharashtra.
His research work covers two main areas: pure mathematics and applied mathematics. In pure mathematics, he studies fractal geometry, and in applied mathematics, he focuses on theoretical seismology.
K. P. Popatrao, S. Kumar, K. Hemalatha, B.K. Mandal, S. Ahamad, Effect of corrugation and rotation on SH wave propagation in an initially stressed functionally graded piezo-electric substrate, Partial Differential Equations in Applied Mathematics, Volume 11, 2024, 100887, ISSN 2666-8181, https://doi.org/10.1016/j.padiff.2024.100887
K. P. Popatrao, K. Hemalatha & S. Kumar. Impact of irregular geological structures on SH-wave propagation in a functionally graded magneto-electro-elastic substrate. J Mech Sci Technol 39, 5361–5373 (2025). https://doi.org/10.1007/s12206-025-0838-5.
K. P. Popatrao, Redefining fractals by Suzuki contraction, arXiv preprint arXiv:2403.11462, https://doi.org/10.48550/arXiv.2403.11462
Patent
Varsha Sambhaje, Kanase Pankaj Popatrao, Quantum-Engineered Functionally Graded Plate for Vibration and Wave Control, 225716.
The propagation of elastic waves in functionally graded structures (FGSs), with particular attention to piezoelectric, magneto-electro-elastic (MEE), hard dielectric, and elastic media. The research addresses key challenges and recent developments in solid mechanics and theoretical seismology by deriving analytical solutions and dispersion relations. Through the application of asymptotic methods, numerical simulations, and graphical validation, the study offers a thorough analysis of wave behavior in various FGS configurations.
Research Interests
Theoretical seismology, Fractal geometry, Wave propogation
He was awarded the CSMNRF-2021 Fellowship by the Government of Maharashtra.
Assistant Professor
School of Pure and Applied Sciences
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Mysuru