https://www.elibrary.ru/title_about_new.asp?i
1605-8119
Materials physics and mechanics
49
1
2022
1-192
RAR
RUS
1-16
Krylova
Belarusian State Agrarian Technical University
Minsk, Republic of Belarus
Ovsiyuk
Mozyr State Pedagogical University
Mozyr, Belarus
Ivashkevich
B.I. Stepanov Institute of Physics
Minsk, Belarus
Red'kov
B.I. Stepanov Institute of Physics
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
Ivashkevich
B.I. Stepanov Institute of Physics
Minsk, Belarus
Ovsiyuk
Mozyr State Pedagogical University
Mozyr, Belarus
Kisel
Belarus State University of Informatics and Radio-electronics
Minsk, Republic of Belarus
Red'kov
B.I. Stepanov Institute of Physics
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
Grushevskaya
Belarusian State University
Minsk, Republic of Belarus
Krylov
Belarusian State University
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
Melker
A.I.
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
Krupina
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
0000-0002-3012-1407
Matvienko
Peter the Great St. Petersburg Polytechnic University
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
Baranava
Belarusian State University of Informatics and Radioelectronics
Minsk, Republic of Belarus
Stempitsky
Belarusian State University of Informatics and Radioelectronics
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
Pal
Mizoram University (A Central University)
Aizawl, India
Maity
Mizoram University (A Central University)
Aizawl, India
Maity
Mizoram University (A Central University)
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
Hvazdouski
Belarusian State University of Informatics and Radioelectronics
Minsk, Belarus
Baranava
Belarusian State University of Informatics and Radioelectronics
Minsk, Republic of Belarus
Stempitsky
Belarusian State University of Informatics and Radioelectronics
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
Melker
A.I.
Peter the Great St. Petersburg Polytechnic University
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
Voronova
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Kupchishin
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Kupchishin
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Shmygaleva
Al-Farabi Kazakh National University
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
Grushevskaya
Belarusian State University
Minsk, Republic of Belarus
Timoshchenko
Belarusian State University
Minsk, Republic of Belarus
Lipnevich
Belarusian State University
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
Kupchishin
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Taipova
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Niyazov
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Utepova
Abai Kazakh National Pedagogical University
Almaty, Kazakhstan
Lisitsyn
Tomsk National Research Polytechnical University
Tomsk, Russia
Tronin
Abai Kazakh National Pedagogical University
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
Zisman
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
Ermakova
Peter the Great St. Petersburg Polytechnic University
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
Perevezentsev
Mechanical Engineering Research Institute, Russian Academy of Science
Nizhni Novgorod, Russia
Kirikov
Mechanical Engineering Research Institute of RAS
Nizhny Novgorod, Russia
0000-0002-0185-5452
Zolotorevsky
Peter the Great St. Petersburg Polytechnic University
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
Romashkina (Zobacheva)
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
Khovaiko
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
Nemov
Alexander
Peter the Great St. Petersburg Polytechnic University
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