IISc-SIAM student chapter is an official student chapter of Society for Industrial and Applied Mathematics (SIAM) at IISc with the aim of promoting activities that are related to interaction between mathematics and areas of science, engineering and technology.
This event is an hour-long talk by Prof. S. Gopalakrishnan, faculty at AE dept., IISc.
Title: Wave Propagation in Different Structures and Materials
This talk will first introduce the fundamentals of wave propagation, spectral analysis, and the associated analytical, numerical and computational procedures to solve some of the complex problems in wave propagation. The goal here is to determine the wave parameters, namely the wavenumbers and the group speeds of the propagating waves in many complex media. The talk will present the numerical tools such as Frequency domain and Time domain spectral element method as analysis tool for solving wave propagation problems. First the talk will dwell on the propagation of elastic waves in metallic and composites waveguides and subsequently present the propagation of waves in functionally graded material structures. Following this, a brief introduction to non-local elasticity will be presented and following this propagation of elastic waves in Carbon nanotubes and nano structures will be discussed. The last part of the talk will cover some exciting problems in wave propagation namely the non- linear Hyperelastic waveguides and Quazicrystals. The talk will end with some discussion and conclusions.
Prof. S. Gopalakrishnan is a faculty in the Department of Aerospace Engineering, IISc. He is also currently KSIIDC Chair Professor at IISc. He works mainly in the areas of Structural Health Monitoring and wave propagation in complex mediums.
His notable contribution is the invention of a new numerical method called Spectral Finite Element Method (SFEM), which has already become a tool to solve many wave propagation problems in complex media involving very high frequency input. This has opened up the possibility of solving many difficult inverse problems such as load monitoring in aircrafts, crack detection and quantification in structures and systems, earthquake/Tsunami modeling, new material design for impact mitigation etc. His research efforts are primarily responsible for bringing out clarity and complete understanding of many wave based phenomena in complex media.