https://www.elibrary.ru/title_about_new.asp?i
1605-8119
Materials physics and mechanics
28
1/2
2016
1-109
RAR
RUS
1-5
Lobachevsky State University of Nizhni Novgorod
Abuziarov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Abuziarov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Kochetkov
Nizhny Novgorod, Russia
3D fluid structure interaction problem solving method in Euler variables based on the modified Godunov scheme
We present an explicit numerical method for three-dimensional modeling of fast processes of fluid structure interaction problems in Euler variables. The method does not require complex spatial grid generation. To set the initial geometry and follow the deformation of the calculating domains in the process of interaction it is enough to take into account the interacting surfaces constituted by a set of triangles created by CAD systems. The method is based on the modified Godunov scheme with the increased accuracy and uniform for solving equations of fluid dynamics and elastic-plastic flows. Fixed Cartesian grid and local mobile grids associated with each triangle of the surface are used. The flow parameters are interpolated from the Cartesian grid to the local grids and vice versa. At the fluid structure interaction boundary the exact Riemann solver is used.
fluid structure interaction problems; numerical method
https://mpm.spbstu.ru/article/2016.49.1/
MPM128_01_abuziarov.pdf
RAR
RUS
6-10
Don State Technical University
Sadyrin
Rostov-on-Don, Russia
Don State Technical University
Mitrin
Rostov-on-Don, Russia
Don State Technical University
Aizikovich
Rostov-on-Don, Russia
A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus
Zubar
Minsk, Belarus
Effect of temperature on the mechanical properties of multi-component Al-Mg-Si alloys during nanoindentation test
This paper presents the research results of the effect of the difference in the sample and indenter temperature on the calculated characteristics of the mechanical properties of multi-component Al-Mg-Si alloys during nanoindentation test carried out on the AVT-1 alloy sample. The surface topography of the sample was studied using atomic force microscope and profilometer, after that 3 series of indentation experiments with different heating schemes were conducted, results are presented in the form of tables and illustrated with graphs, showing dependence of calculated characteristics of the material mechanical properties, determined using the nanoindentation platform software, from temperature.
multi-component Al-Mg-Si alloys; nanoindentation test; effect of temperature
https://mpm.spbstu.ru/article/2016.49.2/
MPM128_02_mitrin.pdf
RAR
RUS
11-15
Don State Technical University
Vasiliev
Rostov-on-Don, Russia
Don State Technical University
Volkov
Rostov-on-Don, Russia
Don State Technical University
Aizikovich
Rostov-on-Don, Russia
Indentation of an axisymmetric punch into an elastic transversely-isotropic half-space with functionally graded transversely-isotropic coating
Axisymmetric frictionless contact problem of the theory of elasticity on indentation of a non-deformable punch into an elastic transversely-isotropic half-space with transverselyisotropic functionally graded coating is considered. Elastic moduli of the coating vary with depth according to arbitrary function. The technique based on integral transformations is used to reduce the problems to the integral equation. Special approximations for the kernel transform is used to obtain analytical solution of the integral equations. The solution is asymptotically exact for both large and small values of geometric parameter of the problem (relative layer thickness). A method of construction the compliance functions is presented for a case of arbitrary axisymmetric normal and tangential loadings.
contact problem of the theory of elasticity; an axisymmetric punch; an elastic transversely-isotropic half-space; transversely-isotropic functionally graded coating
https://mpm.spbstu.ru/article/2016.49.3/
MPM128_03_vasiliev.pdf
RAR
RUS
16-20
Lobachevsky State University of Nizhni Novgorod
Bazhenov
Nizhni Novgorod, Russia
Chuvash State University
Gonik
Cheboksary, Russia
Lobachevsky State University of Nizhni Novgorod
Kibets
Nizhni Novgorod, Russia
Chuvash State University
Petrov
Cheboksary, Russia
Chuvash State University
Fedorova
Cheboksary, Russia
Chuvash State University
Frolova
Cheboksary, Russia
Stability and supercritical behaviour of thin-walled cylindrical shell with discrete aggregate in bending
A 3-D geometrically and physically nonlinear problem of elastoplastic deformation, loss of stability, and supercritical behaviour of a cylindrical shell with discrete aggregate loaded in bending is analyzed. The numerical analysis of the problem is based on the FEM and an explicit cross-type time integration scheme. The results of the analysis are compared with the experimental data.
thin-walled cylindrical shell; in bending; nonlinear problem; elastoplastic deformation; loss of stability
https://mpm.spbstu.ru/article/2016.49.4/
MPM128_04_bazhenov.pdf
RAR
RUS
21-21
Lobachevsky State University of Nizhni Novgorod
Dyukina
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Baranova
Nizhni Novgorod, Russia
Influence of earthquake hypocenter location on soil-structure dynamic behavior
A new numerical method for large-sized buildings seismic resistance modeling is proposed. It assumes various factors: contact interaction with soil, gravity field, ground nonhomogeneity and earthquake hypocenter location. Deep and shallow earthquakes modeling methods are proposed additionally. It is shown that the location of the seismic source has different effects on the behavior of different types of structures during earthquakes.
earthquake modeling; new numerical method
https://mpm.spbstu.ru/article/2016.49.5/
MPM128_05_dyukina.pdf
RAR
RUS
26-30
South Scientific Center of Russian Academy of Sciences
Sheydakov
Rostov-on-Don, Russia
Size effect on buckling of non-uniform circular plate made of foam material
In the framework of nonlinear micropolar elasticity, the stability of a radially compressed circular plate made of foam is studied. It is assumed that the elastic properties of the plate vary through the thickness. For the case of axisymmetric buckling the linearized equilibrium equations are derived. Using them, the size effect on plate stability is analyzed.
nonlinear micropolar elasticity; non-uniform circular plate; axisymmetric buckling
https://mpm.spbstu.ru/article/2016.49.6/
MPM128_06_sheydakov.pdf
RAR
RUS
31-35
Southern Federal University
Karyakin
Rostov-on-Don, Russia
Southern Federal University
Shubchinskaia
Rostov-on-Don, Russia
The equilibrium and stability of the nonlinearly elastic cylinder with internal stresses
By using the Saint Venant`s semi-inverse method stress-strain state of stretching nonlinearly elastic cylinder containing screw dislocation was analyzed. The ranges of material parameters when diagram of loading (the relationship between the axial load and the elongation of the cylinder) has a falling segment were defined. The existence of such segments can be treated as a stability loss of stretching cylinder. To analyze the stability the bifurcation approach was used that based on linearization of the equilibrium equations in the neighborhood of the obtained solutions. The bifurcation point was defined as such value of the "loading" parameter (Burgers vector magnitude, stretch ratio or other strain characteristic) for which the linearized problem has a nontrivial solution. Numerical determination of the bifurcation points was based on the analysis of the homogeneous linear boundary value problem of sixth order whose coefficients expressed through the radial displacement function and its derivative. The similar problem of compression was used for verification purposes.
nonlinearly elastic cylinder; internal stresses; equilibrium and stability
https://mpm.spbstu.ru/article/2016.49.7/
MPM128_07_karyakin.pdf
RAR
RUS
36-38
Samara National Research University
Bukhanko
Samara, Russia
Belarusian State University of Informatics and Radioelectronics
Kozlova
Minsk, Belarus
Strain field and energy dissipation at a crack tip under axisymmetric strain conditions
Plastic flow at the crack tip is considered using the ideal rigid-plastic body theory under axisymmetric strain conditions. The material at the crack tip is treated as a body consisting of an elastic outer region and a rigid-plastic inner region. It is shown that distributions of the energy dissipation and strains at the crack tip are defined by conformable expressions under plane strain conditions at the limiting case.
crack tip; axisymmetric strain conditions; strain field; energy dissipation
https://mpm.spbstu.ru/article/2016.49.8/
MPM128_08_kozlova.pdf
RAR
RUS
39-42
Saint Petersburg State University
Konstantinov
St.Petersburg, Russia
Lobachevsky State University of Nizhni Novgorod
Kochetkov
Nizhny Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Krylov
Nizhny Novgorod, Russia
St.-Petersburg State University
Smirnov
St.Petersburg, Russia
Simulation the dynamics of a composite cylindrical shell with a gas-permeable layer under the internal impulse loading
The results of numerical investigation of the processes of dynamic deformation of composite cylindrical shell protected inside with a cylindrically rolled packet of metallic woven grids are presented. Internal loading is achieved through the explosion of spherical charge. Mathematical model of metallic grids deformation suggested earlier is now provided with experimental diagram of dynamic compression in the direction perpendicular to the grid layers. In circumferential direction the value of effective elastic modulus is selected in series of calculations. Estimated data is compared with the experimental results. The existence of the gas-permeable cylindrical packet of grids leads to decrease of maximum circumferential deformation of the outer shell.
composite cylindrical shell; gas-permeable layer; internal impulse loading; simulation the dynamics
https://mpm.spbstu.ru/article/2016.49.9/
MPM128_09_konstantinov.pdf
RAR
RUS
43-47
Mechanical Engineering Research Institute of RAS
Motova
Nizhni Novgorod, Russia
Mechanical Engineering Research Institute of RAS
Nikitina
Nizhni Novgorod, Russia
Experimental investigation by ultrasound of engineering materials behavior under the cyclic loading
The results of experimental investigations of the influence of plastic deformation and cyclic loading on the structural state and strength properties of samples of steel and duralumin are given. The value of the acoustic anisotropy of the material, that is, the relative difference of velocities (delays) mutually perpendicular polarized shear waves propagating perpendicular to the line of loading, was used as an informative parameter of ultrasonic testing. The ability to use echo-method of nondestructive testing, by means of shear waves, for the study of elastic-plastic properties and damage of engineering material in the process of fatigue failure, is proved.
steel; duralumin; cyclic loading; ultrasonic testing
https://mpm.spbstu.ru/article/2016.49.10/
MPM128_10_motova.pdf
RAR
RUS
48-52
Lobachevsky State University of Nizhni Novgorod
Denisov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Novikov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Fevralskikh
Nizhni Novgorod, Russia
The Earth's viscoelastic property like reason of Chandler's nutation
Viscoelastic body's free angular movement is considered in this article basic on the simple model. The shape of the body is slightly different from orb. The possibility of body's free precession is shown in case of equal influence the body's elastic and viscous properties. The results can be used as most probable reason of the movement of pole with Chandler's period.
earth; viscoelastic body; free angular movement; viscoelastic property; Chandler's period
https://mpm.spbstu.ru/article/2016.49.11/
MPM128_11_novikov.pdf
RAR
RUS
53-56
Lobachevsky State University of Nizhni Novgorod
Bazhenov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Osetrov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Osetrov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Artemyeva
Nizhni Novgorod, Russia
Influence of the type of stress-strain state on the true stress-strain curve for the elastoplastic materials
We present a description of the current status of research on deformation properties of elastoplastic materials under quasi-static loading. Based both on experimental and theoretical approach and on the developed method, true stress-strain curves were produced in the case of stretching of a cylindrical shell and a solid rod until fracture. The difference between produced curves for these types of specimen is shown for the first time for heterogeneous and non-uniaxial stress-strain state after beginning of the localization process of deformation. We show that the difference between the curves is inversely proportional to the volume rate of stress-strain state at the neck of a specimen.
elastic materials; types of stress-strain state; true stress-strain curve
https://mpm.spbstu.ru/article/2016.49.12/
MPM128_12_osetrov.pdf
RAR
RUS
57-61
United Institute of Informatics Problems of National Academy of Sciences of Belarus
Kovalev
Minsk, Belarus
A. Ishlinsky Institute for Problems in Mechanics RAS
Radayev
Moscow, Russia
On plastic flow of solids for stress states corresponding to an edge of the Coulomb-Tresca prism
Plastic flow states corresponding to an edge of the Coulomb-Tresca prism in the Haigh-Westergaard three-dimensional space of principal stresses are considered. Constitutive equations are formulated by the generalized associated plastic flow rule due to Koiter. These equations impose the minimal kinematical constraints on plastic strains increments and as it is elucidated are equivalent to three-dimensional equations of the mathematical plasticity proposed by Ishlinskii in 1946. It is then shown that obtained constitutive equations can be formulated as a tensor permutability equation for the stress tensor and the plastic strains tensor increment. A new explicit form of the plastic flow rule for stress states corresponding to an edge of the Coulomb-Tresca prism is obtained and discussed.
Coulomb-Tresca prism; Haigh-Westergaard three-dimensional space; plastic flow
https://mpm.spbstu.ru/article/2016.49.13/
MPM128_13_radayev.pdf
RAR
RUS
62-66
Nizhny Novgorod State University of Architecture and Civil Engineering
Suprun
Nizhny Novgorod, Russia
Nizhny Novgorod State University of Architecture and Civil Engineering
Vezhelis
Nizhni Novgorod, Russia
Phenomenological and computer models of polycrystalline material inelastic deformation
Variants of development of the previously obtained results aimed at increasing reliability of description of the subsequent yield surface (SYS) evolution of polycrystalline materials with the help of phenomenological models of the theory of rheonomous plasticity are suggested and briefly substantiated. The results of successful computer simulation of wellknown experiments containing discrepant data on SYS are presented. The introduced phenomenological model permitted to explain the known effect of the influence of the type of unloading on an experimental SYS.
rheonomous plasticity; subsequent yield surface; polycrystalline materials; hyperellipsoid of revolution; Stieltjes integrals
reasons of experimental paradoxes; base experiment
https://mpm.spbstu.ru/article/2016.49.14/
MPM128_14_suprun.pdf
RAR
RUS
67-71
Amur State University of Humanities and Pedagogy
Anisimov
Komsomolsk-na-Amure, Russia
Komsomolsk-na-Amure State Technical University
Egorova
Komsomolsk-na-Amure, Russia
Komsomolsk-on-Amur State Technical University
Khromov
Komsomolsk-on-Amur, Russia
The model of cutting problem subject to a Coulomb-Mohr yield condition
The rigid-plastic model of cutting problem is analyzed subject to a Coulomb-Mohr yield condition. The fields of stress, of strain and of deformation are investigated. Local continuation of stress field to rigid zones (the blank body and cuttings) is constructed. The existence region of full solution is detected and selection criteria of preferred solution is done. Depending of strain distribution and density changes in cuttings is given.
cutting problem; rigid-plastic model; Coulomb-Mohr yield condition
https://mpm.spbstu.ru/article/2016.49.15/
MPM128_15_anisimov.pdf
REP
RUS
72-76
Moscow Aviation Institute (National Research University)
Davydov
Moscow, Russia
Moscow Aviation Institute (National Research University)
Zemskov
Moscow, Russia
Lobachevsky State University of Nizhni Novgorod
Igumnov
Nizhni Novgorod, Russia
Lomonosov Moscow State University
Tarlakovskiy
Moscow, Russia
Non-stationary model of mechanical diffusion for half-space with arbitrary boundary conditions
A new approach to the solution of initial boundary value problems is proposed. It is based on defining integral relations connecting right sides of different types of boundary conditions. It is assumed that one of these solutions has been found. Right sides of boundary conditions of the other problem, being integral equation solutions, are defined through quadrature formulae. Then, solution of this problem assumes as Green's function convolution of the first problem with obtained solutions of integral equations. Non-stationary problem of elastic diffusion for half-space is used as an example.
mechanical diffusion; half-space; arbitrary boundary conditions; non-stationary model
https://mpm.spbstu.ru/article/2016.49.16/
MPM128_16_davydov.pdf
RAR
RUS
77-80
Lobachevsky State University of Nizhni Novgorod
Erofeev
Nizhny Novgorod, Russia
Nizhny Novgorod State University for Architecture
Lampsi
Nizhni Novgorod, Russia
Mechanical Engineering Research Institite of RAS
Verichev
Nizhni Novgorod, Russia
Nonlinear stationary flexural-torsional waves in an elastic rod
The processes of interaction of flexural and torsional waves that lead to the formation of periodic and solitary waves are studied here in the framework of geometrically nonlinear model of an elastic rod.
flexural-torsional waves; solitary waves; elastic rod
https://mpm.spbstu.ru/article/2016.49.17/
MPM128_17_erofeev.pdf
RAR
RUS
81-85
Lobachevsky State University of Nizhni Novgorod
Nikolayev
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Кiryushina
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Оvchinnikov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Fadeeva
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Chistov
Nizhni Novgorod, Russia
The dynamics of a flexible rotor on active magnetic bearings, accounting for non-coaxiality of its elements
The effect of non-coaxiality of the elements of a compound flexible inhomogeneous rotor on active magnetic bearings arising due to the eccentricity of the coupling clutches on rotor dynamics is studied; recommendations are given for balancing the rotor and for the laws of controlling the electromagnetic suspension.
flexible rotor; active magnetic bearings; non-coaxiality of the elements; balancing the rotor
https://mpm.spbstu.ru/article/2016.49.18/
MPM128_18_nikolayev.pdf
RAR
RUS
86-90
Lobachevsky State University of Nizhni Novgorod
Igumnov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Litvinchuk
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Markov
Nizhni Novgorod, Russia
Dynamic analysis of 3D anisotropic elastic solids by a Laplace domain BEM
This work presents a direct boundary element method (BEM) in the Laplace domain for transient dynamic analysis of the three-dimensional (3D) homogeneous linear anisotropic elastic bodies. Proposed boundary element formulation is applied together with the modified Durbin.s method for inverse Laplace transform to obtain time domain results. Implementation of the proposed method is tested by comparing the numerical results with those obtained with the finite element method software.
3D anisotropic elastic solid; dynamic analysis; boundary element method
https://mpm.spbstu.ru/article/2016.49.19/
MPM128_19_markov.pdf
RAR
RUS
91-95
Lobachevsky State University of Nizhni Novgorod
Ipatov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Belov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Amenitskiy
Nizhni Novgorod, Russia
Study of viscoelastic parameter influence on dynamic response in poroviscoelastic prismatic solid
Dynamic behavior of poroviscoelastic solids is studied in this paper. Poroviscoelastic problem formulation is based on Biot.s theory of poroelasticity. In order to describe viscous properties of skeleton by means of the correspondence principle such classical viscoelastic models are used: Kelvin-Voigt model, standard linear solid and model with weakly singular kernel. A numerical modelling of wave propagation is done by means of boundary element approach. Boundary element method (BEM) and boundary integral equation (BIE) method are applied to solving three-dimensional boundary-value problems. Solution is obtained in Laplace domain. Numerical inversion of Laplace transform is based on Durbin.s method with variable integration step and Runge-Kutta relying method. Results of numerical experiments are given
poroviscoelastic prismatic solid; dynamic response; viscoelastic parameter
https://mpm.spbstu.ru/article/2016.49.20/
MPM128_20_ipatov.pdf
RAR
RUS
96-100
Lobachevsky State University of Nizhni Novgorod
Igumnov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Litvinchuk
Nizhni Novgorod, Russia
Don State Technical University
Petrov
Rostov-on-Don, Russia
A numerical study of wave propagation on poroelastic half-space with cavities by use the BEM and Runge-Kutta method
The report presents the development of the time-boundary element methodology and a description of the related software based on a stepped method of numerical inversion of the integral Laplace transform in combination with a family of Runge-Kutta methods for analyzing 3-D mixed initial boundary-value problems of the dynamics of poroelastic bodies. The results of the numerical investigation are presented. The investigation methodology is based on directapproach boundary integral equations of 3-D isotropic linear theory of poroelasticity in Laplace transforms. Poroelastic media are described using Biot models with four functions. With the help of the boundary-element method, solutions in time are obtained, using the stepped method of numerically inverting Laplace transform on the nodes of Runge-Kutta methods.
poroelastic half-space; wave propagation; boundary element method
https://mpm.spbstu.ru/article/2016.49.21/
MPM128_21_petrov.pdf
RAR
RUS
101-105
Lobachevsky State University of Nizhni Novgorod
Bragov
Nizhny Novgorod, Russia
Saint Petersburg State University
Konstantinov
St.Petersburg, Russia
Lobachevsky State University of Nizhni Novgorod
Lomunov
Nizhni Novgorod, Russia
RFNC-VNIITF
Petrovtsev
Chelyabinsk, Russia
The dynamic properties of zirconium-containing magnesium alloy MA14-T1
Experimental study of strength and deformation properties of the magnesium alloy MA14-T1, depending on the type of stress-strain state, the type of cutting the samples with respect to the rolling direction, strain rate and temperature. The static and dynamic stressstrain curves were obtained at different loading conditions and temperatures. It were determined the strength properties as well as their dependence on the strain rate and temperature. It is marked the substantial change in the course of the deformation diagram of samples with a longitudinal direction of cutting after the deformation ~6 %.
zirconium-containing magnesium alloy ma14-t1; stress-strain diagrams
https://mpm.spbstu.ru/article/2016.49.22/
MPM128_22_bragov.pdf
RAR
RUS
106-109
Saint Petersburg State University
Konstantinov
St.Petersburg, Russia
A modern experimental-theoretical approach to rationally designing novel technological objects
The paper presents a general methodology for solving problems analyzing strength of dynamically loaded structures, beginning from their development, substantiation and using experimental schemes of obtaining data on dynamic deformation and failure of materials of various physical nature up to the construction of reliable verified defining equations.
dynamically loaded structure; strength; experimental-theoretical approach
https://mpm.spbstu.ru/article/2016.49.23/
MPM128_23_konstantinov.pdf