Spencer Igram

Profile - Spencer Igram

  • sigram2@illinois.edu
  • Ph.D. Student – Mechanical Engineering
  • B.S. Mathematical Sciences – University of California, Santa Barbara; 2014
  • Research Area: Additive manufacturing and optimization of superparamagnetic materials in passive components.
  • Research supported by Sandia National Laboratories – Albuquerque, NM .

Ongoing Work

My current work combines elements of materials science, additive manufacturing, and controls/ mechatronics. In conjuction with Sandia National Labs, I aim to create a new class of novel inductors and related passive devices from supermagnetic nanomaterials. The nanomaterials are specially formulated to maintain magnetic properties and able to be extruded through additive manufacturing techniques for fast prototyping and development as opposed to common molding methods.

Previous Work

My previous work is culminated in the journal paper: Resolving Critical Degrees of Entanglement in Olympic Ring Systems, and can be found in The Journal of Knot Theory and its Ramifications. This project modeled density effects of periodic boundary conditions on closed ring polymers melts. By imposing PBCs we extract various entanglement properties. The aim of project was to solve for critical densities at which systems of ring polymers experience percolation (infinitely entangled) under varying periodic boundary conditions (1, 2, or 3-Dimensional). The findings show a logistic S-curve growth pattern with density from which we discerned our critical densities and propose possible analytical solutions to model the behaviors. We also investigate the mean valence, or average number of linked components, for individual members of the system and propose an upper bound for the mean valence of a system as a function of density.