EDUCATION |
PhD in Aeronautics, minor in Materials Science, June, 2004
Master of Science in Aeronautics, June, 1999
Field of study: computational solid mechanics
Advisor: Michael Ortiz
Thesis: "Constrained Sequential Lamination: Nonconvex Optimization and Material Microstructure"
4.0 / 4.0 grade pointExperience includes:
- C/C++/Java/Fortran, Linux/Unix, massively parallel computing, computer graphics, meshing
- Optimization, nonlinear finite elements, multiscale material modeling, computational physics
Aerospace Engineering BSE, August, 1995
Mechanical Engineering BSE, December, 1995
3.96 / 4.0 grade pointResearch and design experience includes:
- Conducted independent research of shell vibration and composite failure using holography
- Contributed to the preliminary design of a Neptune Orbiter spacecraft
- Completed projects in Mechanical Design, Structural Mechanics and Aerospace Laboratory
INDUSTRY EXPERIENCE |
HONORS |
DOE Computational Science Graduate Fellowship
Lockheed Martin Employee Commendation for Phase A work on Mars 2001
Edward A. Stalker Undergraduate Research Fellowship, summer 1995
Nicolet Instruments Hi-Step scholar: internship and scholarship
Branstrom Prize for top 5% of freshman in 1991, Angell Scholar and Deans Honor list
RESEARCH INTERESTS |
RESEARCH SUMMARY |
Implemented a model to simulate martensitic phase transformations at the subgrid level of a finite element simulation. Sequential lamination is used to construct the partial relaxation of a multiwell energy density, and provides microstructures that are in static and configurational equilibrium. The laminate topology evolves during deformation through branching and pruning operations, while a continuity constraint provides a simple model of metastability and hysteresis.
Co-developed a material model that utilizes ab initio material properties computed in real-time during a finite element calculation. The material behavior is modeled, through the Cauchy-Born assumption, as individual non-interacting unit-cells at each mesh integration point. Density Functional Theory is used to compute the stresses and energies, with the global solution fields obtained through energy minimization. This approach allows for the prediction of phase changes and the effects of alloy composition, and simulation under large ranges of stresses.
Extending the quasicontinuum method to finite temperatures. The quasicontinuum method is a multiscale generalization of molecular dynamics that uses representative atoms to model regions where fields vary slowly, while seamlessly transitioning to atomistic resolution where required. Finite temperature effects are included by using a Langevin thermostat to provide a first approximation to the thermal motion of the atoms.
Kolsky bar experiments investigating the phase transformation behavior of a superelastic Nickel Titanium shape memory alloy under dynamic loading.
Experimental investigation of void growth in laminated composite panels using holographic interferometry.
PUBLICATIONS |
Prediction of dislocation nucleation during nanoindentation by the orbital free Density Functional Theory based local quasicontinuum method. R.L. Hayes, M. Fago, M. Ortiz and E.A. Carter. Multiscale Modeling and Simulation, 4(2):359-389, 2005.
Density functional theory based local quasicontinuum method: Prediction of dislocation nucleation. M. Fago, R.L. Hayes, E.A. Carter, and M. Ortiz. Physical Review B, 70:100102, 2004.
A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials. S. Aubry, M. Fago, M. Ortiz. Computer Methods in Applied Mechanics and Engineering, 192(26-27):2823-2843, 2003.
Experimental investigation of the behavior of edge delaminations using holographic interferometry. M.J. Fago and A.M. Waas. Optical Engineering, 37:1420-1428, 1998.
CONFERENCES AND PRESENTATIONS |
Local quasicontinuum density functional theory. M. Fago, R.L. Hayes, E.A. Carter, M. Ortiz. 7th US National Congress on Computational Mechanics, 2003.
A constrained sequential-lamination algorithm with applications to plasticity and shape memory alloys. M. Ortiz, S. Aubry, M. Fago. COMPLAS 2003.
Simulation of laminated microstructures in martensitic materials. S. Aubry, M. Fago, M. Ortiz. ASCI review poster presentation, October 2002.
Density functional theory as a finite element constitutive model. M. Fago, M. Ortiz, R.L. Hayes, E.A. Carter. CSGF conference poster session 2002.
Finite element simulation of laminated microstructures in shape memory materials. M. Fago, S. Aubry, M. Ortiz. CSGF conference poster session 2001.