# Department of Applied Mathematics and Mechanics

PHOTO

**Head of the Department of Technical Mechanics,**

**Doctor of Science in Physics and Mathematics, Associate Professor**

**Yaroslav Pasternak**

**E-mail: pasternak@ukrpost.ua**

Tel: (0332) 74 61 48

Department of Technical Mechanics provides courses concerned with analytic and numerical methods in engineering. Except teaching, the staff of the department held extensive research focused on the development of numerical and analytical methods for analysis of auxetics, anisotropic and smart materials under the action of mechanical, thermal, electric and magnetic loading. Novel computational approaches are developed.

Department of Technical Mechanics provide Bachelor am Master programs in Applied Mathematics (**Speciality 113 – Applied Mathematics**) with specialization in ** Programming and Computational Mechanics**. Students are taught state of the art methods of contemporary computational engineering focused on development of computational approaches using parallelization and multiprocessing.

**Professorial Staff**

** Oleksandr Bondarskyi** - PhD, Associate Professor (Dean)

*Research interests: *Computational mechanics, analytic methods in modeling of plates and shells, experimental modeling

Courses taught: Mechanics, Applied Mechanics, Linear Algebra and Analytic Geometry, Academic Writing

Selected Publications:

- Rasskazov O.O., Bondarskiy O.H. Comparative analysis of the efficacy of some refined versions of the theory of plates and shells on the basis of comparison with the exact solution. Bulletin of National Transport University - K. NTU, 2012. - Vol. 25. pp. 453–457.
- Rasskazov О.О., Bondarskyi О.H. Experimental studies of the stress and strain state of multilayered plates. Visnyk National Transport University. Scientific and Technical Collection: Іn Part 2. Part 1: Series «Technical sciences». – Kyiv: National Transport University, 2014. – Issue 29. pp. 275–280.
- Trach V.M., Bondarsky O.G., Horuzhy M.M. Using a refined timoshenko-type theory to the construction of the stability equations of anisotropic shells of revolution. Resource saving materials, structures, houses and buildings. 2013, Vol. 27. pp. 282–392.

* Olena Mikulich* - PhD, Associate Professor

*Research interests: *Time-harmonic and transient problems for solids made of auxetics and novel materials; boundary integral equations; complex variable analysis; Fourier transform.

Courses taught: Strength of Materials, Discrete Mathematics, Mathematical Analysis, Applied Mechanics

Selected Publications:

- Shvabyuk, V.I., Mikulich, O.A., Shvabyuk, V.V. Stress State of Foam Media with Tunnel Openings Under Non-Stationary Dynamic Loading (2017) Strength of Materials, 49 (6), pp. 818-828.
- Mikulich, O., Shvabyuk, V., Sulym, H. Dynamic stress concentration at the boundary of an incision at the plate under the action of weak shock waves (2017) Acta Mechanica et Automatica, 11 (3), pp. 217-221.
- Shvabyuk, V., Sulym, H., Mikulich, O. Stress state of plate with incisions under the action of oscillating concentrated forces (2015) Acta Mechanica et Automatica, 9 (3), pp. 144-2015.

** Volodymyr Maksymovych** - Professor, DSc, PhD

*Research interests: *Boundary integral equations, anisotropic materials, numerical methods, thermomechanics

Courses taught: Strength of Materials, Physical and Chemical Mechanics of Materials, Mathematical Analysis, System of Computer Mathematics

Selected publications:

- Maksimovich, V.N., Solyar, T.Ya. Refined formulas for determination of the inverse Laplace transform using Fourier series and their use in problems of heat conduction (2002) Inzhenerno-Fizicheskii Zhurnal, 75 (3), pp. 102-103.
- Maksimovich, V.N., Tsybulsky, O.A., Sodzhak, I.I. Algorithms and software for calculation of three-dimensional concentration of stresses in welded structures with circumferential and longitudinal welds (1997) Welding and Surfacing Reviews, 8 (1), pp. 111-121.
- Maksimovich, V.N., Tsybul'skii, O.A. Application of fourier-series methods and integral equations for solving nonstationary nonaxisymmetric heat conduction problems for bodies of revolution (1995) Journal of Engineering Physics and Thermophysics, 68 (6), pp. 828-834.
- Maksimovich, V.N., Tsybul'skii, O.A. Application of Fourier-series methods and integral equations for solving nonstationary nonaxisymmetric heat conduction problems for bodies of revolution (1995) Inzhenerno-Fizicheskii Zhurnal, 68 (6), pp. 1023-1030.
- Maksimovich, V.N., Drogobitskaya, V.V. Studying thermoelastoplastic state of locally heated tapered shells (1995) Problemy Prochnosti, (4), pp. 18-26.

** Yaroslav Pasternak** - DSc, PhD, Associate Professor (Head of Department)

*Research interests: *Computational mechanics, multifield materials, fracture mechanics, theory of thin inclusions, boundary element method, boundary integral equations

Courses taught: Mechanics, Applied Mechanics, Linear Algebra and Analytic Geometry, Academic Writing

Selected Publications:

- Pasternak, I., Pasternak, V., Pasternak, R., Sulym, H. Stroh formalism in evaluation of 3D Green's function in thermomagnetoelectroelastic anisotropic medium (2017) Mechanics Research Communications, 84, pp. 20-26.
- Sulym, H.T., Pasternak, Y.М., Tomashivs’kyi, М.М. Thermoelasticity of Anisotropic Bimaterial Solids with Contact Thermal Resistance of the Interface Between Their Components and Thin Inclusions (2017) Materials Science, 52 (6), pp. 775-785.
- Pasternak, I., Sulym, H. Boundary element analysis of anisotropic thermomagnetoelectroelastic solids with 3D shell-like inclusions (2017) Acta Mechanica et Automatica, 11 (4), pp. 308-312.
- Pasternak, I., Pasternak, R., Pasternak, V., Sulym, H. Boundary element analysis of 3D cracks in anisotropic thermomagnetoelectroelastic solids (2017) Engineering Analysis with Boundary Elements, 74, pp. 70-78.
- Pasternak, I.M., Sulym, H.T., Piskozub, L.G. Integral Equations of Plane Magnetoelectroelasticity for a Cracked Bimaterial With Thin Inclusions (2016) Journal of Mathematical Sciences (United States), 217 (3), pp. 239-259.
- Sulym, H.T., Yasnii, O.P., Pasternak, Y.M. Modeling of Multiple Cracking Under the Conditions of Thermomechanical Fatigue (2016) Materials Science, 51 (6), pp. 765-772.
- Pasternak, I., Pasternak, R., Sulym, H. A comprehensive study on Green's functions and boundary integral equations for 3D anisotropic thermomagnetoelectroelasticity (2016) Engineering Analysis with Boundary Elements, 64, pp. 222-229.
- Sulym, H., Pasternak, I., Tomashivskyy, M. Boundary integral equations for an anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities (2016) Acta Mechanica et Automatica, 10 (1), pp. 66-74.

** Oleksii Prykhodko **- PhD

*Research interests: *Analytic modeling of elastic-plastic materials with structural inhomogeneities; modeling of airspace crafts.

Courses taught: Mechanics, Applied Mechanics, Linear Algebra and Analytic Geometry, Academic Writing

Selected Publications:

- Maksymovych, V.M., Prykhod’ko, O.S., Solyar, T.Y. Determination of Stresses Near Elastic Inclusions in Plates of Complex Shape (2016) Journal of Mathematical Sciences (United States), 217 (3), pp. 271-282.

** Vasyl Shvabyuk** - Professor, DSc, PhD

*Research interests: *Analytic modeling of elastic plates and shells, refined theories of orthotropic plates and shells, analytic methods.

Courses taught: Strength of Materials, Applied Mechanics, Mechanical Properties and Integrity of Structural Material, Bases of Elasticity and Plasticity

Selected Publications:

- Shvabyuk, V.I., Mikulich, O.A., Shvabyuk, V.V. Stress State of Foam Media with Tunnel Openings Under Non-Stationary Dynamic Loading (2017) Strength of Materials, 49 (6), pp. 818-828.
- Mikulich, O., Shvabyuk, V., Sulym, H. Dynamic stress concentration at the boundary of an incision at the plate under the action of weak shock waves (2017) Acta Mechanica et Automatica, 11 (3), pp. 217-221.
- Shvab’yuk, V.I., Krutii, Y.S., Sur’yaninov, M.G. Investigation of the Free Vibrations of Bar Elements with Variable Parameters Using the Direct Integration Method (2016) Strength of Materials, 48 (3), pp. 1-10.
- Shvab’yuk, V.I., Krutii, Y.S., Sur’yaninov, M.G. Investigation of the Free Vibrations of Bar Elements with Variable Parameters Using the Direct Integration Method (2016) Strength of Materials, 48 (3), pp. 384-393.
- Shvabyuk, V., Sulym, H., Mikulich, O. Stress state of plate with incisions under the action of oscillating concentrated forces (2015) Acta Mechanica et Automatica, 9 (3), pp. 144-2015.
- Shvabyuk, V.I., Rotko, S.V., Uzhegova, O.A. Bending of a Composite Beam with a Longitudinal Section (2014) Strength of Materials, 46 (4), pp. 558-566.
- Shvab'yuk, V.I., Pasternak, Y.M., Rotko, S.V. Refined solution of the timoshenko problem for an orthotropic beam on a rigid base (2010) Materials Science, 46 (1), pp. 56-63.
- Nikoloshin, M.M., Shvabyuk, V.I., Feshchuk, Yu.P. Limit equilibrium of a transversely isotropic spherical shell with two surface cracks (2009) International Applied Mechanics, 45 (4), pp. 437-442.