Research Interests

• Geometrically inspired and gauge theories for continuum mechanics of solids (emphasizing non-Euclidean defect kinematics)
  
• Non-equilibrium thermodynamics of solids and fluctuation relations valid far from equilibrium
  
• Defect engineering and metamaterials with acoustic band gaps
  
• Optimization based on stochastic search on Riemannian manifolds
  
• Computational Mechanics: Mesh-free and Finite Element Methods; Peridynamics; SPH-based simulations in computational impact dynamics
  
• Mechanics of structured continua; the role of local symmetry in the continuum physics of solids; applications to modelling of plasticity, damage, piezo-electricity etc.
  
• Stochastic Filtering Techniques for Inverse Problems; nonlinear structural system identification and medical diagnostic imaging in soft materials
  
• Bayesian updates on Riemannian manifolds