Department of Dynamics and Stability of Continua

History and leadership

The Department of Dynamics and Stability of Continua was established in 1967. Its founder and head from 1967 to 2023 was Oleksandr M. Guz, Academician of the NAS of Ukraine, Doctor of Technical Sciences, Professor. Since 2023, the department has been headed by Viacheslav L. Bogdanov, Academician of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences.

Main research areas

• Three-dimensional stability theory of deformable bodies.
• Theory of wave propagation and diffraction in deformed bodies.
• Non-classical problems of fracture mechanics that cannot be analysed within conventional fracture criteria.
• Mechanics of composite materials and structural elements, including nanocomposites.
• Stress concentration around holes in shells.
• Numerical methods for nonlinear and degenerate problems of composite shell theory.
• Analytical and numerical methods for the analysis of non-circular cylindrical shells.
• Aerohydroelasticity.
• Mechanics of compressible viscous fluids.
• Contact problems for elastic bodies with initial stresses.
• Rock mechanics.
• Mechanics of layered and fibrous composites with curved structures.
• Non-destructive methods for determining stresses in solids.
• Experimental methods in shell mechanics and nonstationary aerohydroelasticity.

Current research projects

• Research project No. 426: Development of methods for solving static and dynamic problems for heterogeneous materials and thin-walled structural elements (I.2020 – IV.2024).
• Research project No. 451: Mechanics of prestressed bodies and nonlinearly elastic shell structural elements of non-circular cross-section (I.2023 – IV.2027).
• Research project No. 454: Analysis of stress concentration near holes in thin-walled structural elements of rocket technology made of nonlinearly elastic and viscoelastic materials, and assessment of its influence on strength and fracture (I.2023 – IV.2024).