Materials physics and mechanics

RAR RUS 1-16 Belarusian State Agrarian Technical University Krylova

Minsk, Republic of Belarus

Mozyr State Pedagogical University Ovsiyuk

Mozyr, Belarus

B.I. Stepanov Institute of Physics Ivashkevich

Minsk, Belarus

B.I. Stepanov Institute of Physics Red'kov

Minsk, Belarus

Maxwell electrodynamics in media, geometry effect on constitutive relations The problem of constitutive relations in Maxwell electrodynamics, their possible form and role in physical manifestation of electromagnetic fields, its behavior under the motion of the reference frame and its connection with Special Relativity theory, interplay between electrodynamics constitutive relations and gravity theory, and so on, has a long history. The main accent in our treatment is the known possibility to simulate material media by geometrical methods. This review includes the following items: Riemannian geometry and Maxwell theory; Maxwell equations in Riemannian space and effective media; metrical tensor and constitutive relations; inverse constitutive equations; geometric simulation of inhomogeneous media; geometrical simulation of uniform media; geometrical modeling of anisotropic uniform media; the moving medium and anisotropy; geometry effect on material equations in arbitrary linear media; the plane wave in the Lobachevsky space, simulating a special medium; arbitrary metrics, etc. The problem of constitutive relations in Maxwell electrodynamics, their possible form and role in physical manifestation of electromagnetic fields, its behavior under the motion of the reference frame and its connection with Special Relativity theory, interplay between electrodynamics constitutive relations and gravity theory, and so on, has a long history. The main accent in our treatment is the known possibility to simulate material media by geometrical methods. This review includes the following items: Riemannian geometry and Maxwell theory; Maxwell equations in Riemannian space and effective media; metrical tensor and constitutive relations; inverse constitutive equations; geometric simulation of inhomogeneous media; geometrical simulation of uniform media; geometrical modeling of anisotropic uniform media; the moving medium and anisotropy; geometry effect on material equations in arbitrary linear media; the plane wave in the Lobachevsky space, simulating a special medium; arbitrary metrics, etc. 10.18149/MPM.4912022_1 constitutive relations gravity theory Lobachevsky space Maxwell electrodynamics plane waves Riemannian geometry https://mpm.spbstu.ru/article/2022.89.1/ 1-N_G_Krylova%2C-E_M_-Ovsiyuk%2C-A_V_-Ivashkevich%2C-V_M_-Red'kov.pdf

RAR RUS 17-43 B.I. Stepanov Institute of Physics Ivashkevich

Minsk, Belarus

Mozyr State Pedagogical University Ovsiyuk

Mozyr, Belarus

Belarus State University of Informatics and Radio-electronics Kisel

Minsk, Republic of Belarus

B.I. Stepanov Institute of Physics Red'kov

Minsk, Belarus

Maxwell electrodynamics, complex rotation group, media Our treatment will be with definite accents: the main attention is given to classical electrodynamics in material media, focusing on the structure of Minkowski constitutive relations, matrix complex form of Maxwell theory in the form of Riemann–Silberstein–Majorana–Oppenheimer, and the theory of complex rotation group, isomorphic to the Lorentz group. This review includes the topics: introduction; matrix complex form of Maxwell theory in a vacuum; modified Lorentz symmetry in electrodynamics; Minkowski electrodynamics in moving bodies; Minkowski constitutive relations in the complex 3-vector form; symmetry properties of the matrix equation in any linear media; Dirac matrices and electromagnetic field. 10.18149/MPM.4912022_2 complex rotation group Dirac matrices formalism Majorana–Oppenheimer Maxwell theory Minkovski constitutive equations https://mpm.spbstu.ru/article/2022.89.2/ 2-A_V_Ivashkevich%2C-E_M_-Ovsiyuk%2C-V_V_-Kisel%2C-V_M_-Red'kov.pdf

RAR RUS 44-50 Belarusian State University Grushevskaya

Minsk, Republic of Belarus

Belarusian State University Krylov

Minsk, Republic of Belarus

On resonant scattering states in graphene circular quantum dots Due to the effect of Klein tunneling, two-dimensional graphene quantum dots do not possess genuine bound states but quasi-bound (resonant tunneling) states only. We discuss in detail the attempt to describe these states within the framework of the Dirac pseudo-fermion model for circular dots. We demonstrate explicitly that introduced earlier the so-called "resonance condition" corresponds to the inconsistent system of linear equations obtained from matching conditions on the boundary of the quantum dot when one tries to use it for complex energy values and in the case of total reflection for the energies coincided with the potential well top. 10.18149/MPM.4912022_3 graphene Klein tunneling massless pseudo-Dirac fermion quantum dot quasi-bound states https://mpm.spbstu.ru/article/2022.89.3/ 3-H_V_-Grushevskaya-G_G_-Krylov.pdf

RAR RUS 51-72 Peter the Great St. Petersburg Polytechnic University Melker A.I.

St.Petersburg, Russia

Peter the Great St. Petersburg Polytechnic University Krupina

St.Petersburg, Russia

0000-0002-3012-1407 Peter the Great St. Petersburg Polytechnic University Matvienko

St.Petersburg, Russia

Nucleation and growth of fullerenes and nanotubes having five-fold symmetry We have studied possible ways of generating and growing the fullerenes having five-fold symmetry. Beginning with cyclopentane C5H10 and clusters C5C5, we obtained elementary fullerenes C10 and mini-fullerenes C20, and then we produced the fullerenes from C20 to C70, perfect (basic) and imperfect, as well as nanotubes. The basic fullerenes C20, C30, C40, C50, C60, and C70 have the ordinary five-fold symmetry, the intermediate ones having no such symmetry. Their imperfection is connected with extra 'interstitial' carbon dimers, the dimers playing the role of defects. One can define the imperfect fullerenes with defects as the fullerenes having topological five-fold symmetry. We have calculated the energies of both groups of fullerenes and discussed their dependence on a fullerene size and shape. 10.18149/MPM.4912022_4 carbon embedding energy fullerene fusion reaction graph representation growth nanotube periodic system single and double bonds topological symmetry https://mpm.spbstu.ru/article/2022.89.4/ 4-A_I_-Melker%2C-M_A_-Krupina%2C-A_N_-Matvienko.pdf

RAR RUS 73-84 Belarusian State University of Informatics and Radioelectronics Baranava

Minsk, Republic of Belarus

Belarusian State University of Informatics and Radioelectronics Stempitsky

Minsk, Belarus

Magnetic properties of low-dimensional MAX3 (M=Cr, A=Ge, Si and X=S, Se, Te) systems The article presents the results of a magnetism study in quasi-two-dimensional MAX3 (M=Cr, A=Ge, Si and X=S, Se, Te) systems. We calculated the microscopic magnetic parameters using quantum mechanical methods and showed that MAX3 can have a high spin polarization. The easy magnetization axis lies normal to the layer plane. The main magnetic order of the CrGeSe3, CrGeTe3, CrSiSe3, and CrSiTe3 atomic systems is ferromagnetism. CrGeS3 and CrSiS3 exhibit antiferromagnetism. The low energy stability of the magnetic order is confirmed by the calculated values of the exchange interaction integral (J). We showed that the magnetic order realizes only at low temperatures. A study of the dependences of J and the magnetic anisotropy energy on the structural (distance between magnetic ions, distortion of the octahedral complex) and electronic properties (population and hybridization of atomic and molecular orbitals) has been performed. The dependences indicate three possible mechanisms of the exchange interaction. We have given ways of influencing a specific mechanism for managing exchange interaction. 10.18149/MPM.4912022_5 ab initio calculation exchange energy exchange integral magnetic anisotropy nanomagnetic CrSiS3 CrGeTe3 CrSiTe3 https://mpm.spbstu.ru/article/2022.89.5/ 5-M_S_-Baranava%2C-V_R_-Stempitsky.pdf

RAR RUS 85-96 Mizoram University (A Central University) Pal

Aizawl, India

Mizoram University (A Central University) Maity

Aizawl, India

Mizoram University (A Central University) Maity

Aizawl, India

Silicon carbide membranes for micro-electro-mechanical-systems based CMUT with influence factors An analytical model is developed for evaluating the characteristic parameters of silicon carbide (SiC) based capacitive micromachined ultrasonic transducer (CMUT) under the effect of a high-k dielectric insulation layer. The performance of parallel plate structured CMUT is investigated by considering various widths of the insulation layer, membrane thickness, diameter, and bias followed by validation of results using finite element method (FEM) simulation. Consideration of the fringing effect results in noticeable improvements in device capacitance. This enhancement leads to improvement in displacement due to static bias, signal, and coupling coefficient. The comparative analysis is carried out between hafnium oxide (HfO2) and silicon nitride (Si3N4) insulation layers. CMUT having HfO2 insulation of 500 nm thickness exhibits resonance at 1.62 MHz and displacement of 405 nm. Approximately 20% enhancement occurs in displacement as compared with Si3N4 as insulation. 10.18149/MPM.4912022_6 CMUT HfO2 insulation High-k dielectric material SiC actuation layer https://mpm.spbstu.ru/article/2022.89.6/ 6-Moumita-Pal%2C-Niladri-Pratap-Maity%2C-Reshmi-Maity.pdf

RAR RUS 97-107 Belarusian State University of Informatics and Radioelectronics Hvazdouski

Minsk, Belarus

Belarusian State University of Informatics and Radioelectronics Baranava

Minsk, Republic of Belarus

Belarusian State University of Informatics and Radioelectronics Stempitsky

Minsk, Belarus

First-principles study of anisotropic thermal conductivity of GaN, AlN, and Al0.5Ga0.5N The thermal stability of devices based on GaN, AlN, and Al0.5Ga0.5N semiconductors is a critical property for efficient and reliable operation. The thermal conductivity of these materials has anisotropic nature. We proposed an approach for calculating the anisotropic thermal conductivity based on harmonic and anharmonic interatomic force constants of a lattice. The thermal-conductivity coefficient of GaN, AlN, and Al0.5Ga0.5N in the [100], [001], and [111] directions were calculated using ab initio methods by solving the linearized Boltzmann transport equation. It equals λ[100] = 259.28, λ[001] = 335.96 and λ[111] = 309.56 W/(m·K) for GaN; λ[100] = 396.06 , λ[001] = 461.65 and λ[111] = 435.05 W/(m·K) for AlN; and λ[100] = 186.74, λ[001] = 165.24 and λ[111] = 177.62 W/(m·K) for Al0.5Ga0.5N at 300 K. The dependence of the coefficient λ(T) on temperature in the range from 250 to 750 K is presented. A comparative analysis of the GaN thermal conductivity investigations has been carried out for experimental studies and theoretical calculations. 10.18149/MPM.4912022_7 aluminum nitride first-principle calculation gallium nitride thermal conductivity https://mpm.spbstu.ru/article/2022.89.7/ 7-D_C_-Hvazdouski%2C-M_S_-Baranava%2C-V_R_-Stempitsky.pdf

RAR RUS 108-135 Peter the Great St. Petersburg Polytechnic University Melker A.I.

St.Petersburg, Russia

Nuclear geometry: from potassium to titanium Nuclear geometry has been developed by analogy with the fullerene geometry. On the basis of this geometric approach, it was possible to design the structure of potassium, calcium, scandium, and titanium isomers as well as their isotopes, which can be obtained by means of nuclear synthesis. The nuclei can be classed into two groups: basic nuclei having equal numbers of protons and neutrons and isotopes having one, two, and more neutrons. The latter ensure their mechanical stability with respect to shear stresses, sending their electron to the coat of mail created by the basic nuclei. 10.18149/MPM.4912022_8 calcium graph representation isomer isotope nuclear electron nuclear geometry nuclear reaction potassium scandium titanium https://mpm.spbstu.ru/article/2022.89.8/ 8-Alexander-I_-Melker.pdf

RAR RUS 136-144 Abai Kazakh National Pedagogical University Voronova

Almaty, Kazakhstan

Abai Kazakh National Pedagogical University Kupchishin

Almaty, Kazakhstan

Abai Kazakh National Pedagogical University Kupchishin

Almaty, Kazakhstan

Al-Farabi Kazakh National University Shmygaleva

Almaty, Kazakhstan

Modeling of PKA energy spectra and the concentration of vacancy clusters in materials irradiated with light ions The work was carried out within the framework of the cascade-probabilistic method, the essence of which is to obtain and further apply cascade-probabilistic functions. The obtained models make it possible to trace the entire process in development and in the future can be used in industry to obtain materials with predetermined characteristics. The results of the obtained studies can also be used by specialists in the field of solid-state radiation physics, in сosmophysics. The cascade-probability functions, the energy spectra of primary knocked-on atoms (PKA), and the concentration of vacancy clusters in molybdenum irradiated with alpha particles were simulated. Some of their properties and patterns were established. Methods of mathematical analysis, probability theory, and numerical methods were used in the research process. 10.18149/MPM.4912022_9 cascade-probability function energy spectrum modeling primary knocked-on atom https://mpm.spbstu.ru/article/2022.89.9/ 9-N_A_-Voronova%2C-A_A_-Kupchishin%2C-A_I_-Kupchishin%2C-T_A_-Shmygaleva.pdf

RAR RUS 145-152 Belarusian State University Grushevskaya

Minsk, Republic of Belarus

Belarusian State University Timoshchenko

Minsk, Republic of Belarus

Belarusian State University Lipnevich

Minsk, Republic of Belarus

Emergence of topological defects in a bilayer of multiwalled carbon nanotubes irradiated by gamma-rays We have studied gamma-ray scattering on rolled graphene atomic layers of high-ordered multiwalled-carbon-nanotubes which organized a bilayer. Radiation high-energy topological defects of a type of pair "vortex-antivortex" in electron and hole densities have been revealed. We suppose that the fluxes of the vortex-antivortex pairs are produced by gamma-quanta in the graphene plane. 10.18149/MPM.4912022_10 carbon nanotube gamma-ray scattering radiation defect https://mpm.spbstu.ru/article/2022.89.10/ 10-H_V_-Grushevskaya-A_I_-Timoshchenko-I_V_-Lipnevich.pdf

RAR RUS 153-159 Abai Kazakh National Pedagogical University Kupchishin

Almaty, Kazakhstan

Abai Kazakh National Pedagogical University Taipova

Almaty, Kazakhstan

Abai Kazakh National Pedagogical University Niyazov

Almaty, Kazakhstan

Abai Kazakh National Pedagogical University Utepova

Almaty, Kazakhstan

Tomsk National Research Polytechnical University Lisitsyn

Tomsk, Russia

Abai Kazakh National Pedagogical University Tronin

Almaty, Kazakhstan

Influence of temperature and load on mechanical properties of unirradiated and irradiated plexiglass Investigations of the mechanical, properties of unirradiated and irradiated plexiglass of various types have been carried out when tested for the flat straight bend. Exposure to temperature and radiation significantly affects the properties of the material. As a result of the research, the dependences of deformation on stress, length, and width of the specimens were obtained. The experimental curves are satisfactorily described by a linear model. 10.18149/MPM.4912022_11 bend deformation mechanical properties plexiglass radiation stress https://mpm.spbstu.ru/article/2022.89.11/ 11-A_I_-Kupchishin-et-al.pdf

RAR RUS 160-172 Peter the Great St. Petersburg Polytechnic University Zisman

St.Petersburg, Russia

Peter the Great St. Petersburg Polytechnic University Ermakova

St.Petersburg, Russia

Rate-independent selection of slip patterns on grain and subgrain scales: state of the art To simulate the fragmentation of grains in cold deformed polycrystals, the underlying heterogeneity of crystal slip patterns should be quantified. Although it is understood that such patterns split owing to both the grain interaction and tendency to weaken the local strain hardening, properly justified numerical models for the considered effect are still wanted. This paper briefly surveys relevant extensions of rate-independent Taylor's theory and currently popular rate-sensitive formulations coupled with finite element modeling. Then, to exclude the limitations of such efforts, a novel rate-independent model is formulated that accommodates macroscopic deformation by the interfacial skeleton while suggesting specific slip patterns to keep the local strain compatibility across any grain boundary facet. Based on this approach, the fragmentation onset at grain junctions is predicted, and refinements of the model which should extend it to grain interiors are discussed. 10.18149/MPM.4912022_12 crystal fragmentation dislocation boundary plasticity slip pattern strain rate https://mpm.spbstu.ru/article/2022.89.12/ 12-A_A_-Zisman-N_Yu_-Ermakova.pdf

RAR RUS 173-181 0000-0002-0437-8540 Mechanical Engineering Research Institute, Russian Academy of Science Perevezentsev

Nizhni Novgorod, Russia

Mechanical Engineering Research Institute of RAS Kirikov

Nizhny Novgorod, Russia

0000-0002-0185-5452 Peter the Great St. Petersburg Polytechnic University Zolotorevsky

St.Petersburg, Russia

Analysis of the conditions of crack nucleation during lattice dislocations transition through grain boundary The formation of deformation facets at high-angle grain boundaries during their interaction with lattice dislocation pile-ups is accompanied by the appearance of wedge disclination dipoles disposed on the plane of the facets. Their elastic energy increases as the dislocations of pile-up penetrate the grain boundary and the deformation facet lengthens. A possibility was considered for the relaxation of elastic energy of the disclination dipole and the pile-up stored in the vicinity of the facet. A concept of the least possible length of the crack in a crystalline solid was introduced, and an energetic criterion of its nucleation was suggested. An analysis of conditions for the crack nucleation in configuration space of considered system parameters – the total Burgers vector of pile-up, the strength of disclination dipoles, and the value of external load – has been carried out. 10.18149/MPM.4912022_13 disclination dislocation dislocation pile-up grain boundary microcrack https://mpm.spbstu.ru/article/2022.89.13/ 13-V_N_-Perevesentsev%2C-S_V_-Kirikov%2C-N_Yu_-Zolotorevsky.pdf

RAR RUS 182-192 Peter the Great St. Petersburg Polytechnic University Romashkina (Zobacheva)

St.Petersburg, Russia

Peter the Great St. Petersburg Polytechnic University Khovaiko

St.Petersburg, Russia

Peter the Great St. Petersburg Polytechnic University Nemov Alexander

St.Petersburg, Russia

Modelling of composite materials with thermoplastic matrices, carbon fibres, and nanoparticles This paper reports a study regarding the modelling of the mechanical behaviour of a thermoplastic matrix/carbon fibre reinforced composite. It has been shown that the multiscale modelling approach, based on the submodelling technique, describes the material behaviour accurately enough. To simulate non-ideal adhesion, a series of composite material models were developed, the adhesion being modelled by introducing contact elements along with various parts of the fibre-binder interface surface. The introduction of contact interaction only affected the ultimate strength of the material. The introduction of the progressive damage process into the model allowed obtaining results close to those of full-scale tests. 10.18149/MPM.4912022_14 adhesion carbon fibre defect finite element model progressive damage reinforced composite submodelling thermoplastic matrix https://mpm.spbstu.ru/article/2022.89.14/ 14-A_-Romashkina%2C-M_-Khovaiko%2C-A_-Nemov.pdf