Summer Research Internship at IIT Bombay
I spent 2 months at IIT Bombay wherein I worked under Prof. Alankar Alankar of Mechanical Department. My projects included "Solving Burgers Equation using Numerical Techniques and its Parametric Study" and "Observation of Fatigue Failure in Additively-Manufactured Ti64 from literature".
The main tasks accomplished were:
❶ Studied about Burgers' Equation and solved it using Classical Methods
❷ Studied about Finite Difference Method (FDM) and Finite Element Method (FEM) and solved the Burgers' Equation using both these methods
❷ Simulated the solution using Python and Matlab respectively
FDM Solution of Burgers' Equation
Before solving Burgers' Equation using FEM, I solved a few test cases using variational Finite Element Method. I learnt about FEA and how the whole discretization and assembling process takes place. I solved the Burgers' Equation using 1D linear langrage element following variational formulation of Galerkin Method. At the end I changed the parameters involved namely kinematic viscocity, step size in space and time and plotted the variation in both FDM and FEM. Finally I wrote my detailed report in LaTeX.
FEM Solution of Burgers' Equation
N =40, ν = 0.5, ∆t = 0.0001
Different combination of parameters influenced the nature of solution
N =40, ν = 0.1, ∆t = 0.0001
N =40, ν = 0.01, ∆t = 0.0001
Observation of Fatigue Failure in Additively-Manufactured Ti64 from literature
❶ I perused more than 50 research papers and collected 200+ datasets for Additively Manufactured Ti-6Al-4V
Specimen
❷ Studied how the fatigue life depends on residual stresses, surface roughness, microstructure and porosity.
❸ Analysed how different post-processing techniques help to increase the fatigue life of AM Ti64