This project focuses on the development of mathematical models for the elasticity, plasticity, and creep behavior of monocrystalline alloys and metal-matrix composites. It aims to create innovative methods for designing composite materials with tailored anisotropic physical properties by integrating advanced numerical micromechanical analysis techniques. Additionally, the project seeks to develop new approaches for evaluating the stress-strain state of structural elements made from monocrystalline alloys under high-temperature static and dynamic loading conditions 

The project focuses on developing innovative composite metamaterials for aerospace structures. By integrating fiber-reinforced layers with 3D-printed honeycomb cores, the project aims to propose lightweight materials with superior mechanical and thermal properties for demanding aerospace applications. 

The project addressed the analysis of metamaterial panels, including mechanical characterization of the inner layer, auxetic plate bending, and comparison of 3D and 2D orthotropic models. It also examined the eigenvalue problem of three-layer plates and the static bending of honeycomb-filled composites made via additive manufacturing. Additionally, the dynamics of shallow shells were studied using Donnell’s equations and the Galerkin method, highlighting vibration and beating modes. The vibrations of functionally graded porous sigmoid sandwich plates with complex geometries were also analyzed using the Rayleigh-Ritz method to assess natural frequencies and porosity effects.

The project investigated critical parameters affecting the friction stir welding (FSW) of aluminum alloys, including tool geometry, rotational speed, traverse speed, tilt angle, and axial force. These factors significantly influence heat generation, weld quality, residual stresses, and resulting deformations. Combining experimental studies with numerical simulations, the research aimed to optimize welding conditions to enhance joint integrity and structural performance.