Speaker: Dr. Rahul Saini

Title of the Talk: Modified boundary conditions in asymmetric thermoelastic vibrations of FG annular nanoplates using numerical techniques

Date ,Time & Venue: 11 July 2025, 11:00 AM to 12:00 PM at  Seminar Hall, Dept. of Mathematics

Abstract: The seminar is focused on one of the research papers that presents the analysis and numerical results for the free asymmetric vibrations of functionally graded annular nanoplates with temperature-dependent mechanical properties that vary according to the power-law model in the thickness direction. The governing equations for this model are derived from Hamilton’s principle based on first-order shear deformation theory and Eringen’s nonlocal elasticity theory. Modified size-dependent boundary conditions are derived to handle the paradoxical behaviour of free vibration of the nanoplates with free boundary due to nonlocal parameters and thermal environment. The Chebyshev collocation method is employed to discretize the governing equations in obtaining the numerical values of frequencies considering different nodal lines with nonlocal boundary conditions. The effect of various parameters such as radii ratio, volume fraction index, nonlocal parameter, and temperature difference on the nondimensional frequencies is studied.

About the Speaker: Dr. Rahul Saini is an Assistant Professor in the Department of Mathematics at Hemvati Nandan Bahuguna Garhwal University, a Central University, Srinagar, Uttarakhand. He obtained his Master’s and Ph.D. degrees in Applied Mathematics from the I.I.T. Roorkee.

Dr. Saini's research focuses on computational solid mechanics. He has been working on numerical algorithms to solve complex differential equations and has introduced modified boundary conditions to address paradoxes in nanoplates with free boundaries, especially under thermal environments. His expertise extends to areas such as artificial neural networks, parallel computing, finite element method, and Linux OS-based computing.  Dr. Saini has done NPDF at IISC Bangalore, and UGC-Dr. D. S. Kothari Post-Doctoral Fellowship at the Department of Aerospace Engineering, IISc Bangalore. He has also held Institute Post-Doctoral Fellow positions at the Departments of Civil Engineering and Applied Mechanics at New York University, and IIT Delhi, respectively.