Failures of composite materials: It concerns the prediction of properties, load transfer, interfacial rupture and ultimate loading of materials reinforced with inclusions.

Modeling of elastomeric material behavior: The hyperelastic and viscoelastic behavior of elastomeric materials is formulated using appropriate tensorial expressions and energy-based norms, which are validated experimentally.

Prediction of residual stresses in welded joints: The welding process is simulated by modeling the successive temperature variations and phase transformations of the materials, the changes in material properties, and crystallization, using the finite element method. 

AI-Based Design methodologies: New methods are developed based on Artificial and Computational Intelligence techniques to address design uncertainty, enable design-by-analogy using prior design cases, and optimize design solutions through the use of evolutionary algorithms. 

Smart Materials, Intelligent Machines, and Structures: The use of such materials in machines or structures is studied, providing enhanced capabilities for active control of their operation. 

Systems Digitalization: It focuses on the development and validation of advanced engineering software that can support the design and operation of complex systems across industries such as maritime and aviation. 

Engineering for Sustainability: Multi-Criteria Decision Making (MCDM) and Hollistic Design Methods are integrated into classical Machine Design Theory to promote the advancement towards sustainable engineering solutions in the aviation, maritime and automotive sectors. 

Multi-Materials Design: The use of multiple materials in the design of mechanical components is thoroughly investigated in order to optimize critical properties such as strength and weight, while minimizing environmental impact. 

Contact mechanics of solid bodies: Appropriate boundary formulations are developed to model contact, sliding, adhesion, and friction conditions when mechanical or thermal loads are applied. Thermal contact is approached in terms of the pressure developed at the contact interface.

Tribological design of micro/macro journal bearings utilizing artificial roughness and optimization: The Reynolds equation or the Navier-Stokes equations are solved, and multi-variable optimization methods are employed for tribological optimization.

Tribological design with nanomagnetorheological fluids: The tribological characteristics of nano-sized bearings are determined using Molecular Dynamics. The Navier-Stokes equations are solved for the case of magnetorheological lubrication.

Design of hydro-magnetic journal bearings: The system of equations governing the coupled hydrodynamic - magnetic field of these bearings is solved to determine its hybrid behavior.

Active Magnetic Bearings (AMBs): A thorough analysis of the operational principles and energy losses involved in the design and optimization of AMBs is conducted.  Furthermore, the use of AMBs in rotating machinery introduces new phenomena in their dynamic behavior, which are adressed in great detail. 

Air Foil Bearings (AFBs): The performance of AFBs is studied with varying geometric characteristics such as wavelength, thickness, radial clearance, and others.

Nonlinear fracture mechanics: The characteristics of fracture and crack propagation are studied in heterogeneous bodies subjected to impact or transient thermomechanical loads that induce crack closure. 

Machine Dynamics and Rotating Machinery Dynamics: Dynamic phenomena arising during machine operation are studied. Methods for analysis, fault prediction, and fault diagnosis are developed. 

Computational study of nanostructures and related failure modes: Computational simulations are performed to analyse the properties, load transfer, vibrations, and failure modes of nanotubes, graphene flakes, and nanostructured materials containing these nanoparticles.

Nonlinear dynamics of structures: The dynamic response and stability of structures and machines are addressed, particularly those with time-varying failures or those equipped with nonlinear vibration dampers.

Structural integrity monitoring of constructions: This is carried out through thermomechanical analysis. A computational and experimental tool has been developed to calculate the thermodynamic damping coefficient of the structure. 

Design of biomedical devices: Biomedical devices are developed in the form of research and industrial prototypes, and are further accompanied by clinical applications.