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The main activities are related to a number of issues and methods in solving various engineering problems. The main problems, methods and their applications are listed below.
Problems:
- Solid mechanics,
- Heat transport processes,
- Fracture mechanics,
- Micro- and nanomechanics,
- Coupled fields problems (thermomechanics, piezoelectricity, interaction of mechanical, electric, magnetic, thermal, acoustic and flow fields)
- Biomechanics,
- Modeling of biological tissue burns,
- Modeling of freezing of biological tissues,
- Modeling of bone systems,
- Modeling of bone-implant connections,
- Thermodynamics of casting processes,
- Fuzzy and interval sets in modeling of physical and biological systems.
Methods:
- Finite Element Method (FEM),
- Boundary Element Method (BEM),
- Finite Difference Method (FDM),
- Meshless methods,
- Fast multipole MEB,
- Adaptive FEM,
- Artificial intelligence methods,
- Sensitivity analysis,
- Inverse problems,
- Classical optimization methods,
- Biologically inspired algorithms: genetic, evolutionary, swarm, ant, artificial immune systems,
- Methods of multiobjective optimization,
- Hybrid algorithms,
- Artificial neural networks,
- Granular evolutionary algorithms,
- Parallel and distributed computing,
- GPU computing,
- Grid computing.
Applications:
- Strength analyses using computer methods,
- Computer modeling of crack propagation,
- Computer simulation of coupled problems,
- Computer simulations in biomechanics,
- Optimal design using classical and global optimization methods,
- Shape, boundary conditions, topological, multicriteria optimization of various engineering problems,
- Identification in physical systems,
- Multiscale modelling of materials,
- Computer homogenization methods,
- Computer aided image processing from computed tomography,
- Thermography in medical diagnostics,
- Design of diagnostic devices in wound and burn treatment.
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