Theoretical Modeling: Damage and healing mechanics; fracture mechanics; theory of comminution; micro-mechanics; homogenization theory; non-local enrichment; thermodynamics of porous media; thermo-hydro-chemo-mechanical models.

Numerical Modeling: Implementation of non-linear models at the material point (MATLAB); Finite Element Method (MATLAB, ABAQUS, POROFIS); eXtended Finite Element Method (ABAQUS, OOFEM); Discrete Element Method (PFC3D), Molecular Dynamics (LAMMPS, MAPS).

Experimental testing (with collaborators): Rock creep and triaxial tests, soil mechanics triaxial tests; concrete Brazilian, uniaxial and three-point bending tests; dentin micro-scale three-point bending tests; nano-indentation; plant root growth experiments; slime mold growth experiments; Scanning Electron Microscopy; X-ray Computer Tomography Scanning; image processing programs; image analysis algorithms.

Engineering Applications: (1) Energy Geotechnics: deep geological storage (nuclear waste disposals, carbon dioxide sequestration, high-pressure gas storage); geothermal systems; hydraulic fracturing. (2) Structural engineering: reparation of concrete by epoxy deposition. (3) Material science: powder technology and 3D-printed nanofoams. (4) Geology & Geophysics: origin of spherical fracturing and saprolite formation. (5) Biology: modeling of plant root growth and slime mold growth. (6) Biomechanics: optimization of dentin restoration by epoxy deposition. (7) Bio-inspired engineering design: optimization of soil strength by root reinforcements, biaxial root-inspired probe for soil characterization, bio-inspired infrastructure networks.