| 2025 |
| O. A. Proshchenkoadmission 2025 | Plane fracture problems for materials compressed along parallel cracks with centres shifted in the compression direction | Volodymyr M. Nazarenko, Academician of the NAS of Ukraine, Acting Director of the S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine | - Bogdanov V. L., Nazarenko V. M., Kipnis A. L. The solution of the plane fracture mechanics problem of a piecewise-homogeneous half-plane under compression along an interfacial near-surface crack. Reports of the National Academy of Sciences of Ukraine, 2024.
- Bogdanov V. L., Nazarenko V. M., Kipnis O. L. Compression of a semibounded body with thin coating layer along the interface near-surface crack. Part I. International Applied Mechanics, 2024.
- Bogdanov V. L., Nazarenko V. M., Kipnis O. L. Compression of a semibounded body with thin coating layer along interface near-surface crack. Part II. International Applied Mechanics, 2024.
- Kipnis A., Nazarenko V. M. et al. Compression of a layered composite with sliding components along two parallel interface structural cracks. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, 2025.
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| R. Yu. Hrysevychadmission 2025 | Theoretical and experimental modelling of deformation of hand prosthesis elements under static, quasi-static and dynamic loading | V. A. Maksymyuk, Doctor of Physical and Mathematical Sciences, Leading Researcher | - Abrosov Yu. Yu., Maximyuk V. A., Chernyshenko I. S. Physically Nonlinear Deformation of a Long Orthotropic Cylindrical Shell with Elliptic Cross-Section. International Applied Mechanics, 2021, vol. 57, no. 3, pp. 282–289.
- Anik’ev I. I., Maksymyuk V. A., Sushchenko E. A., Fetisov I. B. Measuring Dynamic Pressure in Shock Tube and Musical Instruments with WIKA A-10 Sensor. International Applied Mechanics, 2021, vol. 57, no. 5, pp. 568–577.
- Maksymyuk V., Storozhuk E., Chernyshenko I. Analytical and Numerical Solution of Static Problems of Non-Circular Cylindrical Shells. In: Guz A. N., Altenbach H., Bogdanov V., Nazarenko V. M. (eds). Advances in Mechanics. Advanced Structured Materials, vol. 191. Cham: Springer, 2023, pp. 343–366.
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| Yu. O. Nazarchukadmission 2025 | Modelling fracture of road pavements and mixture interfaces using cohesive models and viscoelasticity | Mykhailo F. Selivanov, Corresponding Member of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences, Deputy Director for Scientific Work | - Selivanov M., Protsan V. Solving the problem of the precritical state of the edge crack within the framework of the cohesive zone model approach. Dopovidi Natsionalnoi akademii nauk Ukrainy, no. 1, pp. 39–47, 2022 [in Ukrainian].
- Selivanov M., Nazarenko L., Altenbach H. Modeling the slow crack growth of an edge crack within the cohesive zone model approach. In: Theoretical Analyses, Computations, and Experiments of Multiscale Materials: A Tribute to Francesco dell’Isola. Springer, Cham, 2022, pp. 505–535.
- Selivanov M., Fernati P. Modelling the quasistatic crack propagation in a viscoelastic orthotropic medium using the incrementalization of constitutive equations. Dopovidi Natsionalnoi akademii nauk Ukrainy, no. 2, pp. 65–75, 2023 [in Ukrainian].
- Selivanov M., Bogdanov V., Altenbach H. Solving some problems of crack mechanics for a normal edge crack in orthotropic solid within the cohesive zone model approach. Mechanics of Composite Materials, 2023, vol. 59, no. 2, pp. 335–362.
- Xue P., Wei X., Li Z., Wang Y., Selivanov M., Xiong J. Mechanics of inner core debonding of composite sandwich beam with CFRP hexagonal honeycomb. International Journal of Solids and Structures, 2024, vol. 293, 112760.
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| O. I. Syniavskyiadmission 2025 | Compression of thin-film systems along the interface between a film and a substrate of finite thickness | Volodymyr M. Nazarenko, Academician of the NAS of Ukraine, Acting Director of the S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine | - Bogdanov V. L., Nazarenko V. M., Kipnis A. L. Compression of a semi-bounded body with a coating layer along the interface sliding zone. Zeitschrift für Angewandte Mathematik und Mechanik, 2024, vol. 105, e202400799.
- Bogdanov V. L., Nazarenko V. M., Kipnis O. L. Compression of semibounded body with thin coating layer along interface near-surface crack. Part I. International Applied Mechanics, 2024, vol. 60, pp. 511–524.
- Bogdanov V. L., Nazarenko V. M., Kipnis O. L. Compression of semibounded body with thin coating layer along interface near-surface crack. Part II. International Applied Mechanics, 2024, vol. 60, pp. 641–652.
- Bogdanov V. L., Nazarenko V. M., Kipnis A. L. Critical loads for a piecewise-homogeneous half-plane of different hyperelastic materials under compression along the interface sliding zone. Archive of Applied Mechanics, 2025, vol. 95, article 213.
- Bogdanov V. L., Nazarenko V. M., Kipnis O. L. Influence of material compressibility on near-surface instability of a body with coating under compression. Strength of Materials, 2025, no. 6, pp. 5–16 [in Ukrainian].
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| 2024 |
| R. V. Serafymovychadmission 2024 | Physically nonlinear problems for a three-layer cylindrical shell with openings | Yevhen A. Storozhuk, Corresponding Member of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences, Professor, Deputy Head of Department | - Kudin O. V., Storozhuk Ye. A., Choporov S. V. Approximate analytical and numerical methods for strength analysis of three-layer thin-walled structures. Kherson: Helvetica Publishing House, 2019, 160 p. [in Ukrainian].
- Storozhuk E. A., Maksimyuk V. A., Chernyshenko I. S. Nonlinear Elastic State of a Composite Cylindrical Shell with a Rectangular Hole. International Applied Mechanics, 2019, vol. 55, no. 5, pp. 504–514.
- Storozhuk Ye. A. Compatible finite elements with vector approximation of unknowns for calculating thin shells of complex geometry. Dopovidi Natsionalnoi akademii nauk Ukrainy, 2020, no. 1, pp. 39–48 [in Ukrainian].
- Meish V. F., Meish Yu. A., Maiborodina N. V., Storozhuk E. A. Deformation of Three-Layer Ellipsoidal Shells Reinforced with Longitudinal Ribs under Non-Stationary Loading. International Applied Mechanics, 2023, vol. 59, no. 3, pp. 292–303.
- Storozhuk E. A., Kudin O. V. Analytical Solution of Geometrically Nonlinear Problem for Long Sandwich Plate. International Applied Mechanics, 2024, vol. 60, no. 5, pp. 548–559.
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| Ye. Filadmission 2024 | Numerical analysis of the stress-strain state of shallow orthotropic shells with non-rectangular planform | Oleksandr Ya. Grygorenko, Head of the Department of Computational Methods, Academician of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences, Professor | - Grygorenko O. Ya., Rozhok L. S. Stress state of non-thin elliptical cylindrical shells under a local longitudinal load. International Applied Mechanics, 2023, vol. 59, no. 2, pp. 153–165.
- Grigorenko O. Ya., Borysenko M. Yu., Boychuk O. V. Numerical evaluation of frequencies and the modes of free vibrations of isosceles triangular plates with free edges. Journal of Mathematical Sciences, 2023, vol. 273, no. 1, pp. 27–43.
- Grygorenko O. Ya., Borysenko M. Yu., Sperkach S. O., Bezuhla A. D., Mikhrin E. O. Numerical analysis of free-vibration frequencies of pentagonal plates. Dopovidi Natsionalnoi akademii nauk Ukrainy, 2022, no. 6, pp. 36–45 [in Ukrainian].
- Grygorenko O. Ya., Krykov M. M., Müller W. H., Yaremchenko S. N. Studying of plates and shells stress-strain problems based on the change of variables. In: Advances in Mechanics. Springer, 2023, pp. 33–53.
- Grigorenko O., Lugovyi P., Orlenko S., Kotenko K. Exploring dynamic response in a three-layer dome with non-homogeneous elastic core under a concentrated impact. Continuum Mechanics and Thermodynamics, 2024, vol. 36, pp. 955–968.
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| V. O. Usovadmission 2024 | Numerical modelling of thermomechanical processes in layer-by-layer printing of bodies of revolution made of viscoplastic material | Ihor K. Senchenkov, Doctor of Physical and Mathematical Sciences, Chief Researcher | - Senchenkov I. K., Riabtsev I. O., Chervinko O. P., Babinets A. A. Calculation of residual stress-strain state during build-up of cylindrical bodies from viscoplastic materials. Welding and Related Technologies for the Recovery of Ukraine, 2025, p. 100 [in Ukrainian].
- Senchenkov I., Chervinko O., Usov V. Model of thermomechanical processes during block build-up of viscoplastic bodies. Abstracts of the International Scientific Conference “Actual Problems of Mechanics and Mechanical Engineering – 2026”, Kyiv, 2026, pp. 248–249.
- Yakovenko N. D., Senchenkov I. K. Numerical Simulation of the Surface Hardening of a Half Space Under Pulsed Thermal Loading with Regard for the Dependences of Inelastic Characteristics on the Phase Composition of the Material. Journal of Mathematical Sciences, 2023, vol. 273, no. 6, pp. 1039–1050.
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| 2023 |
| Yu. V. Horskyiadmission 2023 | Generation of cross-shaped surface waves in water in a cylindrical container with vibrating walls under acoustic radiation | Yaroslav O. Zhuk, Doctor of Physical and Mathematical Sciences, Corresponding Member of the NAS of Ukraine, Professor | - Horskyi Yu. V., Krasnopolska T. S., Zhuk Ya. O. Cross-shaped waves on the surface of a liquid in a partially filled cylindrical container. International Applied Mechanics, 2025, vol. 61, no. 6, pp. 40–55.
- Zhuk O. P., Zhuk Ya. O., Klimchuk T. V. Action of acoustic radiation forces in a liquid on a system of two drops of another liquid. International Applied Mechanics, 2025, vol. 61, no. 4, pp. 38–50.
- Zhuk O. P., Guz O. M., Zhuk Ya. O. Radiation forces of an acoustic field in a liquid with inclusions: monograph. Kyiv: Aliant, 2023, 240 p. [in Ukrainian].
- Zhuk O. P., Zhuk Y., Klimchuk T. On the Acoustic Radiation Force Affecting Two Liquid Drops Located in the Wave Field. Axioms, 2023, vol. 12, 940.
- Zhuk O. P., Kubenko V. D., Zhuk Ya. O., Yanchevs’ky I. V. Acoustic Radiation Pressure on a Solid Sphere in a Compliant Cylindrical Tube Filled with a Fluid. International Applied Mechanics, 2022, vol. 58, no. 1, pp. 30–42.
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| P. Yu. Kobzaradmission 2023 | Modelling stress distribution in a piezoelectric body near rigid flat inclusions and circular or elliptical cracks | Vitalii S. Kyryliuk, Leading Researcher, Doctor of Physical and Mathematical Sciences | - Kirilyuk V. S., Levchuk O. I. Mathematical modeling of contact interaction of two electroelastic half-spaces in the presence of a hard disk-like inclusion between them and pressure in the area of separation. System Research and Information Technologies, 2021, no. 3, pp. 120–134.
- Kyryliuk V. S., Levchuk O. I. Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Crack Under Uniaxial Tension. International Applied Mechanics, 2021, vol. 57, no. 1, pp. 53–62.
- Kirilyuk V. S., Levchuk O. I. Contact Interaction of Two Piezoelectric Half-Spaces, One of Which Contains a Near-Surface Notch of Elliptical Cross-Section. International Applied Mechanics, 2022, vol. 58, no. 4, pp. 436–444.
- Kirilyuk V. S., Levchuk O. I. Stress State of a Piezoelectric Medium with a Noncentrally Loaded Rigid Circular Disk. International Applied Mechanics, 2023, vol. 59, no. 6, pp. 685–694.
- Kirilyuk V. S., Levchuk O. I., Kobzar P. Yu., Viter M. B. Mathematical modeling of displacement of rigid elliptical disk in piezoelectric space along symmetry axis of material. International Applied Mechanics, 2024, vol. 60, no. 4, pp. 415–421.
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| O. I. Lesykadmission 2023 | Plane fracture mechanics problems for materials with interacting cracks under forces directed along the cracks | Viacheslav L. Bogdanov, Doctor of Physical and Mathematical Sciences, Academician of the NAS of Ukraine, Head of Department | - Bogdanov V., Guz A., Nazarenko V. Fracture of Materials Loaded Along Cracks: Approach and Results. In: Advances in Mechanics. Advanced Structured Materials, vol. 191. Cham: Springer, 2023, pp. 51–89.
- Bogdanov V. L. On one approach in fracture mechanics of composites with parallel cracks under the action of initial (residual) stresses. Mechanics of Composite Materials, 2023, vol. 59, no. 2, pp. 239–262.
- Bogdanov V. L., Kipnis A. L. Investigation of the Fracture of a Semibounded Body Compressed along a Near-surface Interface Crack. Journal of Mathematical Sciences, 2021, vol. 253, no. 1, pp. 99–107.
- Guz A. N., Bogdanov V. L., Nazarenko V. M. Two-dimensional problems on the fracture of bodies under compression along cracks. In: Advanced Structured Materials, vol. 138. Cham: Springer, 2020, pp. 149–248.
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| A. S. Olkhovskyiadmission 2023 | Mathematical modelling of the influence of local damage and operational loads on vibration stresses in last-stage blades of an NPP steam turbine | Ihor K. Senchenkov, Doctor of Physical and Mathematical Sciences, Chief Researcher | - Senchenkov I. K., Riabtsev I. O., Chervinko O. P., Riabtsev I. I., Babinets A. A. Method for calculating fatigue life and the number of permissible repairs by surfacing cylindrical parts under cyclic thermomechanical loading. Problems of Resource and Safety of Structures, Facilities and Machines, 2015, pp. 718–726 [in Russian].
- Yakovenko N. D., Senchenkov I. K. Numerical Simulation of the Surface Hardening of a Half Space Under Pulsed Thermal Loading with Regard for the Dependences of Inelastic Characteristics on the Phase Composition of the Material. Journal of Mathematical Sciences, 2023, vol. 273, no. 6, pp. 1039–1050.
- Kirichok I. F., Senchenkov I. K. Axisymmetric Resonant Vibrations and Vibration Heating of a Thermoviscoelastic Cylindrical Shell with Piezoelectric Sensors and Actuators. Journal of Mathematical Sciences, 2016, vol. 217, pp. 198–209.
- Kyrychok I. F., Senchenkov I. K., Chervinko O. P. Forced Vibrations and Vibration Heating of Viscoelastic Beams with Piezoelectric Sensors and Actuators. Journal of Mathematical Sciences, 2016, vol. 215, pp. 143–158.
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| D. M. Selivanovadmission 2023 | Application of the cohesive-zone model to delayed fracture problems for bodies with mixed-mode cracks | Viacheslav L. Bogdanov, Doctor of Physical and Mathematical Sciences, Academician of the NAS of Ukraine, Head of Department | - Bogdanov V., Guz A., Nazarenko V. Fracture of Materials Loaded Along Cracks: Approach and Results. In: Advances in Mechanics. Advanced Structured Materials, vol. 191. Cham: Springer, 2023, pp. 51–89.
- Bogdanov V. L. On one approach in fracture mechanics of composites with parallel cracks under the action of initial (residual) stresses. Mechanics of Composite Materials, 2023, vol. 59, no. 2, pp. 239–262.
- Selivanov M., Bogdanov V., Altenbach H. Solving some problems of crack mechanics for normal edge crack in orthotropic solid within the cohesive zone model approach. Mechanics of Composite Materials, 2023, vol. 59, no. 2, pp. 335–362.
- Bogdanov V. L., Kipnis A. L. Investigation of the Fracture of a Semibounded Body Compressed along a Near-surface Interface Crack. Journal of Mathematical Sciences, 2021, vol. 253, no. 1, pp. 99–107.
- Guz A. N., Bogdanov V. L., Nazarenko V. M. Basic principles of fracture mechanics of materials loaded along cracks. In: Advanced Structured Materials, vol. 138. Cham: Springer, 2020, pp. 61–148.
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