Current Research Activities:

  • Development of computational techniques for solid and structural mechanics applications.
  • Modelling and finite element analysis of metal forming processes (deep drawing, extrusion, forging).
  • Parameter sensitivity and optimization of nonlinear systems.
  • Fire safety engineering.
  • Multicriterion and reliabillity-based optimization.
  • Hybrid reasoning techniques in qualitative analysis of physical systems.
  • Expert systems.
  • Development of nonlinear multi-dimentional first-order optics formalism.
  • Nonspecular theory of light interaction with nonlinear structures.
  • Variational and numerical analysis of optical soliton excitation and propagation.
  • Nonlinear spatio-temporal coupling and pulse compression.
  • Mechanics, thermodynamics and electrodynamics:
  • constitutive modelling of materials with finite speed of heat propagation; second sound phenomena,
  • interfacial phenomena in continuum thermodynamics,
  • theory of dielectric waveguides and optoelectronic devices.
  • Analysis of inelastic bar and surface structures under extreme and repeated variable loads:
  • limit analysis, shakedown and incremental collapse of structures,
  • post-yielding behaviour of composite slabs, under restrained ustable flexure,
  • reliability oriented optimization and analysis of sensitivity of inelastic structures,
  • analysis of elastic-plasic plates.
  • Mathematic physics:
  • shock and acceleration wave propagation in dissipative materials,
  • analysis of quasi-linear hyperbolic systems of balance laws in continuum thermo-mechanics and electro-dynamics,
  • resonant interaction on nonlinear waves.
  • Computer vision, image analysis and artificial intelligence:
  • method of mathematical morphology, fuzzy image analysis, random fields, astronomical image analysis, analysis of mammograms, detection of surface defects, analysis of microstructures,
  • computer-assisted analysis of medical images,
  • fuzzy inference systems in classification and approximation problems, genetic algorithms.
  • Structural optimization with continuous and discrete design variables.
  • Seismoscopy.

Key Words:

  • nonlinear mechanics, finite element method, optimization, reliability, adaptive structures, qualitative modelling, diagrammatic reasoning, nonlinear optics, photonics, planar nonlinear structures, propagation;
  • thermodynamics, interfacial phenomena, heat propagation, dissipative materials, shock waves, waveguides, opto-electronic devices, nonlinear waves, stereopsis;
  • structural mechanics, historical constructions, structural optimization, nonlinear programming, discrete programming, graphs, waves, smart materials and structures, structural control;
  • inelastic structures, limit analysis, shakedown, inadaptation, post-yield behaviour, optimization, incremental collapse, safety, reliability.