In a nutshell...

We love having fun with math, mechanics and materials.

Specifically, we model the mechanics and multiphysics behind complex microstructural/morphological processes in materials (structural, functional and biological).

This work draws heavily from continuum physics, solid mechanics, thermodynamics and uses a spectrum of numerical methods and scientific computing platforms.

Prospective graduate students with strong background in solid mechanics and FEM, and interest in scientific computing are encouraged to email Shiva Rudraraju.

Broad themes

Microstructure and phase transformations in materials

Mesoscale modeling of microstructure evolution in metallic alloys using finite strain mechanics and phase field models. This work involves strong collaboration with research groups involved in First-Principles computations (DFT, MD) to inform and drive the mesoscale computations.

Morphology evolution in biological systems

Continuum treatment of various biological phenomena, both at the system scale (tumor growth evolution, growth and form of sea shells, morphogenesis) and cellular scale (embroyogenesis and endocytosis).

Mechanics in energy storage systems

Mechanical deformation and material degradation mechanisms are ubiquitous in energy storage and fuel systems. We study system level and particle level effects of mechanics and mechano-chemical coupling in energy storage systems like Lithium ion battery electrodes.

Numerical methods and scientific computing

Developing numerical formulations (FEM, IGA, ML, etc) and scalable code infrastructure for modeling coupled PDE's. Also involves developing numerical frameworks for modeling contact, fracture and phase evolution.