We model emergent phenomena in materials (structural and biological) that are driven by mechanics and multiphysics. Microstructural evolution, patterning processes and bifurcations are of special interest.
This work draws heavily from solid mechanics, continuum physics, thermodynamics and uses a spectrum of numerical methods and scientific computing platforms.
Open position: Two potential PhD/PostDoc positions on multiphysics modeling of biological systems for Spring 2024/Fall 2024. Focus will be on numerical modeling of multiphysics (mechanics, diffusion and electrostatics) of neurons and neuronal injury under mechanical load. Looking for candidates with interest and background in mathematical modeling, numerical linear algebra, numerical methods (FEM or others) and solid mechanics. Interested candidates can email resume to shiva dot rudraraju at wisc dot edu
Continuum treatment of various mechanics and multiphysics driven biological phenomena at the cellular scale (e.g. neuronal mechanics modeling, membrane processes like endocytosis, embryogenesis, etc.). This work requires coupling of mechanics, transport and electrostatic processes, often on surface manifolds, and involves study of instabilities and structural bifurcations.
Mesoscale modeling of mechanical deformation and microstructure evolution in manufacturing processes like Friction Stir Welding and Additive Manufacturing. This work involves modeling of the thermo-mechanics, formation of voids/defects, and evolution of microstructure (dendrites and grains).
Theoretical and numerical modeling of elastic stability conditions (e.g. for crystalline to amorphous transformations, for martensitic transformation, etc.) and phase transformations in metallic alloys and functional materials.
Developing numerical formulations (FEM, IGA, FDM, etc) and scalable code infrastructure for modeling coupled PDE's. Also involves developing numerical frameworks for modeling contact, fracture and phase evolution.