I am a Postdoctoral Fellow in the School of Aerospace Engineering at Georgia Institute of Technology. Prior to this, I got my PhD in Theoretical and Applied Mechanics from the University of Illinois at Urbana Chamapign.
I work with Professor Massimo Ruzzene. I have collaborated/continue to collaborate with the following faculty at Georgia Tech
I have collaborated with and mentored the following students and postdocs at Georgia Tech Aerospace Engineering.
List of papers: Google Scholar
Topological boundary modes is a recent development in physics, allowing for defect-immune and scattering free wave propagation. Originally discovered in quantum mechanical systems, they have recently been extended to several other areas of physics. We learnt lessons from quantum condensed matter physics to develop a discrete mechanical lattice that supports a class of such modes. We then extended this discrete design to continuous elastic media using thin plates embedded with resonators. In 2017, we achieved the first experimental demonstration of two classes of such topologically protected modes: helical modes and valley modes in elastic media.
The figure on the left shows a unit cell of a square (Lieb) lattice. Right: snapshots of displacement amplitude in a finite lattice subjected to an external force at a point on the boundary. Notice how the wave bends around corners without backscattering. This robustness and immunity to backscattering in the presence of defects and corners is one of the unique features of topologically protected modes.The above figure (left) shows a schematic of a plate with resonators in a hexagonal lattice arrangement. The masses are distinct at the two sub-lattice sites leading to a broken inversion symmetry. This plate supports topologically protected valley waves at the interface between two zones whose unit cells are inverted copies of each other. The wave does not backscatter or localize as it bends around sharp corners.
Hexagonal lattice comprising of point masses interacting with axial and torsional springs. When boundary nodes are subjected to an affine deformation, the resulting displacement field can exhibit features ranging from uniform to localized deformation. These lattices have immense potential for wave steering applications.Distinct patterns can form depending on the imposed boundary conditions, ranging from globally uniform patterns to localized deformation zones. A square lattice exhibiting globally uniform patterns under in-plane deformation and localized folding deformation after undergoing out-of-plane deformation.
The figure above illustrates the change in dynamic behavior from isotropic propagation under tensile pre-stress to waves confined to the boundary under compressive pre-stress. Similarly, the wave behavior can be changed from isotropic to highly directional to achieve wave focusing effects.
Control of wave propagation is an area of active research, with applications in noise control, vibration reduction, acoustic switches and rectification, energy harvesting.
In this project, we designed a lattice of packed granules whose response under an impact load can be varied from rapidly decaying waves to a solitary wave. The lattice consists of elastic spheres packed into a hollow cylinder. By applying external pressure on the cylinder, the response of the lattice can be varied. The above figure illustrates this behavior, with a being the precompression level due to the external pressure. The lattice behavior changes due to the change in stiffness at the contact between two spherical granules.
The objective of this project is to investigate granular media for potential stress wave tailoring and impact protection applications. Using extensive finite element simulations in ABAQUS, we developed a unified contact law between spherical elastoplastic granules. The two granules can be of different sizes and materials. This contact law is incorporated into a dynamics solver and the dynamics of ordered granular packings under impact loads large enough to cause plastic deformations is studied.
We compared the impact response of 3D FCC granular packing of identical spheres with a continuum medium made of the same material. The above figures illustrate the problem schematic and the fraction of energy dissipated for both the granular and continuum media. Dissipation starts at orders of magnitude lower energies in granular medium compared to the continuum medium. This huge difference arises due to the geometry of the granular media. The contact is localized and this leads to high stress concentrations in the vicinity of the contact area in the granules. The high stress concentration leads to a substantially higher energy dissipation in granular media.
Diffusion is typically treated using Fick's law and it is an excellent approximation in a lot of engineering applications. However, this approximation suffers from the infinite speed of propagation paradox. The approximation is valid when diffusive time scales are much smaller than advective time scales. There are applications, for example biological processes and environmental flows, where these two time scales are of the same order. In such cases, a hyperbolic diffusion law is required to capture the physics
In this project, I developed a positivity preserving space-time discontinuous Galerkin finite element method for accurately simulating hyperbolic advection diffusion flows. The above set of figures show the concentration field of a species injected into a nozzle where there is subsonic (left) and supersonic (right) oscillating flow in the transverse direction. It is observed that the species is confined and does not propagate to the boundary.