Computational Solid Mechanics


  • PhD Engineering Mechanics. University of Wisconsin, Madison, Dec. 1992. GPA 4.0/4.0. Full fellowship.
    • Advisor: Dr. Walter S. Drugan.
    • Graduate dissertation focused on full spectral analysis of non-self-adjoint plasticity acoustic tensors, and on thermodynamic restrictions for dynamically propagating discontinuity surfaces in nonclassical elastic-plastic solids with the applications to steady-state plane-strain crack growth.
  • M.S. Engineering Mechanics. University of Wisconsin, Madison, May 1988. GPA 3.9/4.0
  • B.S. Mechanical Engineering. University of New Mexico, Albuquerque, May 1987. 3.6/4.0.
  • Early admission, University of Alabama, Birmingham, 1981, math program.
Research Interests

  • Accuracy/stability/efficiency of plasticity models
  • Damage and failure (stability analysis, statistical uncertainty, size effects, and mesh-dependence)
  • Poroelasticity and poroplasticity
  • Penetration and perforation
  • Rock mechanics
  • Shock-induced tunnel collapse
  • Shock-induced depolarization of ferroelectrics
  • Deformation-induced anisotropy
  • Effect of anisotropy on boundary conditions and solvers in finite-element methods
  • Homogenized models for composites
  • Continuum kinematics for large distortions with applications in biomechanics of calluses
  • Kinematics of large rotations
  • Statistical crack mechanics
  • Curvilinear and Cartesian tensor analysis
  • Finite-difference/finite-element/particle-method transient dynamics
  • Particle methods for simulating large deformation and/or complicated geometries
  • Efficient point sampling methods for higher dimensional spaces
  • Dynamic strength modeling
  • Visualization of tensor fields
  • Tools for verification and validation of constitutive models
  • Thermodynamic dissipation under large deformation
  • Mesoscale modeling of heterogeneous media as a tool for developing improved macroscale models
  • Frame indifference and alternatives to objective rates in finite deformation
  • Hypervelocity impact diagnostics for strength and equation of state (EOS) modeling
  • Shock-induced vaporization of metals
  • Accelerated installation and maintenance of material models in multiple codes
  • Thermodynamics of shocks
  • Reliability of simulations
  • Alternatives to upwind differencing for advection-diffusion problems
  • Use of X-ray computed tomography (XCT) in validation.