Research Units

Research

Current Research Activities:

• Development of computational techniques for solid and structural mechanics applications
• Mechanics of shell structures
  • classical and non-classical kinematical models (Kirchhoff-Love, Reissner-Mindlin, Cosserat, layer-wise theories and others)
  • constitutive equations for shells: elastic, elastic-plastic,composites (multilayered, with microstructure), effective (homogenized, surrogate) material properties
  • finite elements for shells: with rotational dofs, solid-shells and 3D
  • various formulations and techniques improving elements’ performance; mixed, enhanced, stabilized, isogeometric elements, etc.
  • advanced numerical analyses of shell structures (non-linear statics, dynamics, stability)
• Modeling of composite materials, including layered composites and metal-ceramic materials
  • constitutive modeling
  • damage and crack initiation in metal-ceramic compostes
  • modeling of composites under complex extreme loading conditions: temperature load, impact load, high strain rates
  • cohesive zone modeling, effects of diffusion in solids, temperature (microscale, mesoscale and macroscale)
  • applied modeling methods: finite element method, peridynamics, molecular dynamics, ab initio methods
• Modeling of powder sintering technologies
• Modeling in biomechanics
  • modeling of constitutive properties of tissues
  • modeling of tissue growth and adaptive remodeling
  • mechanical interactions between tissues and artificial implants
• Sensitivity analysis and optimization of nonlinear systems
  • multi-criteria and reliability-based optimization
• Machine learning in computer image processing of the materials and engineering structures
• Atomistic/continuum modeling of crystalline mono- and hetrostructures with defects
  • residual stresses caused by the crystalline defects and chemical inhomogeneities
  • reconstruction of atomistic models of dislocation networks
  • molecular dynamics/statics modeling
  • optoelectronic and piezoelectric properties of semiconducting devices
  • bandgap structure modeling in chemically inhomogeneous semiconducting structures
  • elastic coefficients of 3-rd and higher orders in the quantitative nonlinear finite element modeling
• Neuroinformatics
  • modeling of information processing in the brain using information theory and artificial intelligence
  • development of artificial intelligence methods inspired by the architecture of real biological systems
  • application of algorithms based on artificial intelligence and information theory in the field of medicine
  • research in the field of extended reality and virtual environments
• Cryptology
  • development of cryptographic systems and protocols using artificial intelligence and chaos theory
  • defense mechanisms against AI model stealing
• Quantum information science
  • exploring fundamental features of quantum systems, such as quantum entanglement, quantum coherence
  • exploring the role of entanglement and general quantum features in quantum communication and quantum computation protocols
  • application of quantum entanglement and coherence to detect and quantify memory effects in open quantum systems

Key Words:

• nonlinear mechanics, large strains, hyperelasticity, crystal anisotropy
• computational mechanics, finite element method, discrete element method
• biomechanics
• modeling, sensitivity analysis, optimization, reliability
• atomistic reconstruction, dislocations, extended defects, crystalline heterostructures, quantum dots, quantum wells, residual stresses, lattice distortion fields, molecular statics, molecular dynamics, piezoelectricity, bandgap structure
• peridynamics, molecular dynamics, ab initio methods, fracture defects, diffusion, cohesive zone model, impact loading, temperature loading, high strain rates, structural failure, fragmentation
• biologically inspired artificial intelligence, artificial intelligence in healthcare, computational intelligence, neural networks, machine learning, bio-inspired learning algorithms, entropy, mutual information, biosignal classification, predictive diagnostics, biomedical imaging, personalized medicine, automated treatment planning
• cryptographic protocols, quantum systems, quantum communication, quantum entanglement and coherence, quantum information, quantum computing, open quantum systems
• immersive technologies, extended reality, augmented reality, mixed reality, virtual reality, virtual environments

Proposed Ph.D. Projects:

Achievements

➤Habilitations

➤Ph.D. Theses

➤Patents

➤Publications

Publications

Proposed PhD

Proposed Ph.D. Projects: