https://www.elibrary.ru/title_about_new.asp?i
1605-8119
Materials physics and mechanics
23
1
2015
1-94
RAR
RUS
1-4
Bondar
Moscow State University of Mechanical Engineering (MAMI)
Moscow, Russia
Theory of plasticity without surface of loading
On the basis of hysteresis loop analysis (cyclic diagram) there are distinguished three parts, which characterize different behaviors of stresses, that is distinguished three types of stresses. For each type of stresses there are formulated corresponding evolutionary equations for anisotropic hardening. For description isotropic hardening the evolutionary equation with parameter of saturation for second type stresses is introduced. The deviator of stresses is determined as sum of three types of stresses. For description of the non-linear process of accumulation damages the kinetic equation is introduced, basing on energetic principle, where in quality of energy, which expending on creating of damages in material there is energy equal work of second type stresses on full deformation field. The material functions, which completed the theory and subjected to experimental determining, are distinguished.
theory of plasticity; hysteresis loop analysis; anisotropic hardening
https://mpm.spbstu.ru/article/2015.40.1/
MPM123_01_bondar.pdf
RAR
RUS
5-9
Erofeev
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Igumnov
Lobachevsky State University of Nizhni Novgorod
Nizhni Novgorod, Russia
Pavlov
Lobachevsky State University of Nizhni Novgorod
Nizhni Novgorod, Russia
The mathematical model for anisotropic material with auxetic properties
A two-dimensional model representing a square lattice of round particles is proposed for description of auxetic properties of an anisotropic crystalline material with cubic symmetry. It is assumed that each particle has two translational and one rotational degrees of freedom. Differential equations describing the propagation of elastic and rotational waves in such a medium have been derived. Relationships between the macroelasticity constants of the medium and the parameters of its inner structure have been found. It has been shown that the Poisson's ratios of the anisotropic material can be negative for certain values of the parameters of its inner structure.
anisotropic material; auxetic properties; two-dimensional model
https://mpm.spbstu.ru/article/2015.40.2/
MPM123_02_pavlov.pdf
RAR
RUS
10-13
Murashkin
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Moscow, Russia
Radayev
A. Ishlinsky Institute for Problems in Mechanics RAS
Moscow, Russia
On a classification of weak discontinuities in micropolar thermoelasticity
The present study is devoted to problem of propagating surfaces of weak discontinuities of translational displacements, microrotations and temperature in type-I micropolar (MP) thermoelastic (TE) continuum. Geometrical and kinematical compatibility conditions due to Hadamard and Thomas are used to study possible wave surfaces of weak discontinuities in MPTE-I continua. Weak discontinuities are discriminated according to spatial orientations of the discontinuities polarization vectors (DPVs). It is shown that the surfaces of weak discontinuities can propagate exist without weak discontinuities of the temperature field.
type-I micropolar thermoelastic continuum; translational displacements; microrotations; temperature; weak discontinuities
https://mpm.spbstu.ru/article/2015.40.3/
MPM123_03_murashkin.pdf
RAR
RUS
14-19
Zelentsov
Don State Technical University
Rostov-on-Don, Russia
Mitrin
Don State Technical University
Rostov-on-Don, Russia
Aizikovich
Don State Technical University
Rostov-on-Don, Russia
Ke
Beijing Jiaotong University
Beijing, China
Instability of solution of the dynamic sliding frictional contact problem of coupled thermoelasticity
We consider one-dimensional thermoelastic contact problem on vertical indentation of a rigid thermally insulated half-plane moving horizontally with constant speed over an elastic coating (strip), while bottom side of the latter is bonded to a rigid foundation. Thermal flux generated by friction is directed to the strip. Temperature, displacement and stress distributions along the depth of the coating are derived in the form of infinite series over eigenfunctions. It is shown that the thermoelastodynamic instability of the obtained solutions is present in all time range and at any velocities of the half-plane sliding over the surface of the coating.
one-dimensional thermoelastic contact problem; a rigid half-plane moving horizontally; instability of solution
https://mpm.spbstu.ru/article/2015.40.4/
MPM123_04_mitrin.pdf
RAR
RUS
20-24
Belubekyan
Institute of Mechanics, National Academy of Sciences of the Republic of Armenia
Yerevan, Armenia
Erofeev
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Shekoyan
Institute of Mechanics, National Academy of Sciences of the Republic of Armenia
Yerevan, Armenia
Influence of point defects on ultrasonic waves propagating in the thin plate
In the linear formulation a two-dimensional self-consistent problem of the propagation of elastic (ultrasonic) waves in the plate, taking into account its interaction with point defects present in its material is provided. We study the effect of point defects on the dispersion laws of planar and bending elastic waves.
ultrasonic waves; thin plate; point defects
https://mpm.spbstu.ru/article/2015.40.5/
MPM123_05_erofeev.pdf
RAR
RUS
25-30
Belyankova
Southern Scientific Center of Russian Academy of Sciences
Rostov-on-Don, Russia
Kalinchuk
Southern Scientific Center of Russian Academy of Sciences
Rostov-on-Don, Russia
Peculiarities of the wave field localization in the functionally graded layer
Within the framework of the linearized theory of elasticity, as exemplified by the problem of the shear harmonic oscillations of the pre-stressed functionally graded layer, the influence of the type of inhomogeneity and of the character of the initial stressed state on the distribution of the displacements with depth is investigated. The initially deformed state is assumed to be homogeneous, the inhomogeneity of the initial stresses is caused by the change of the material properties. The transformation of the displacements with depth for different oscillation frequencies of the layer under the conditions of the equal and arbitrary intensity of the change of properties is demonstrated. The possibility to dampen the amplitude of displacements at the definite frequencies by means of changing the initial actions is established.
linearized theory of elasticity; shear harmonic oscillations; pre-stressed functionally graded layer; inhomogeneity
https://mpm.spbstu.ru/article/2015.40.6/
MPM123_06_belyankova.pdf
RAR
RUS
31-35
Vestyak
Moscow Aviation Institute (National Research University)
Moscow, Russia
Igumnov
Lobachevsky State University of Nizhni Novgorod
Nizhni Novgorod, Russia
Tarlakovskiy
Lomonosov Moscow State University
Moscow, Russia
Electromagnetic field in moving space with spherical enclosure
The unsteady axisymmetric problem being considered is related to the identification of the components of electromagnetic field in moving space with spherical enclosure filled with homogeneous isotropic conductor. The model used includes Maxwell's equations and generalized Ohm's law. In order to find a solution, a series expansion in Legendre polynomials and Laplace time transform are applied. Integral representations of the components of the electromagnetic field with Green's function kernels have been generated.
electromagnetic field; moving space with spherical enclosure; Green's function
https://mpm.spbstu.ru/article/2015.40.7/
MPM123_07_vestyak.pdf
RAR
RUS
36-41
Zemskov
Moscow Aviation Institute (National Research University)
Moscow, Russia
Tarlakovskiy
Lomonosov Moscow State University
Moscow, Russia
Method of the equivalent boundary conditions in the unsteady problem for elastic diffusion layer
The proposed approach to solving initial-boundary problems is based on integral relations which connect right sides of boundary conditions of different types. One of these solutions is assumed to be found. In this case, integral relations are considered as equations as regard to right sides which are equivalent to other conditions. Quadrature formulas are used to solve these equations.
initial-boundary problems; method of the equivalent boundary conditions
https://mpm.spbstu.ru/article/2015.40.8/
MPM123_08_zemskov.pdf
RAR
RUS
42-46
Levi
Southern Scientific Center of Russian Academy of Sciences
Rostov-on-Don, Russia
Igumnov
Lobachevsky State University of Nizhni Novgorod
Nizhni Novgorod, Russia
Some properties of the thermoelastic prestressed medium Green function
The dynamic coupled problem of excitation of harmonic oscillations on the layered prestressed thermoelastic body surface is considered. The body is under the action of the oscillating heat flow which is distributed on the surface in a certain region. It is a layer which is rigidly coupled to a half-space. The layer surface is assumed to be free from mechanical stress and outside the thermal stress region is thermal insulated. Thermal and mechanical effects induce initial stress state. The influence of different prestressing cases on the Green function poles distribution is investigated.
thermoelasticity; dynamics; contact problem; initial strain; preheating; thermoelastic waves; initial stress; Green's function; dispersion curves; layered body
https://mpm.spbstu.ru/article/2015.40.9/
MPM123_09_levi.pdf
RAR
RUS
47-51
Babeshko
Kuban State University
Krasnodar, Russia
Evdokimova
Southern Scientific Center RAS
Rostov-on-Don, Russia
Babeshko
Kuban State University
Krasnodar, Russia
The analytical solutions of the boundary-value problems by the method of factorization
The differential factorization method developed by previously [1, 2] is applied to boundary-value problems for the analytical method [3]. There problems are convenient for comparing different methods of their solution and demonstrate great potentialities of the differential factorization method. It is important to note that these problems include cases involving the main types of roots (simple and double zeros) of the determinants of characteristic equations of the corresponding differential equations.
boundary-value problems; method of factorization; analytical solutions
https://mpm.spbstu.ru/article/2015.40.10/
MPM123_10_babeshko.pdf
RAR
RUS
52-55
Shirokov
Southern Scientific Center of Russian Academy of Sciences
Rostov-on-Don, Russia
Kalinchuk
Southern Scientific Center of Russian Academy of Sciences
Rostov-on-Don, Russia
Shakhovoy
Univ. Orléans
Orléans, France
Yuzyuk
Southern Federal University
Rostov-on-Don, Russia
Anomalies of the elastic modulus of thin films of barium titanate
For the single-crystal thin films of barium titanate based on Landau potential for eighth degree dependence of the elastic moduli from the misfit strain at room temperature constructed. Elastic moduli at the phase boundaries indicate abnormal behavior. In the region of the r-phase, some modules have the extreme values.
elastic modulus; thin films; barium titanate
https://mpm.spbstu.ru/article/2015.40.11/
MPM123_11_shirokov.pdf
RAR
RUS
56-60
Glushkov
Kuban State University
Krasnodar, Russia
Glushkova
Kuban State University
Krasnodar, Russia
Eremin
Kuban State University
Krasnodar, Russia
Guided wave based nondestructive testing and evaluation of effective elastic moduli of layered composite materials
The paper presents a nondestructive technique for the evaluation of elastic moduli of layered fiber-reinforced composites. It is based on the minimization of the discrepancy between the theoretically calculated and experimentally measured dispersion curves of guided Lamb waves generated by surface-mounted piezoelectric wafer active sensors. Numerical simulation is performed in the context of 3D linear elastodynamics for anisotropic solids. It relies on the explicit integral and asymptotic representations derived for the force-generated wave fields in terms of Green's matrix of the composite structure considered. The minimization of the least-square error sum between the measured and calculated data is achieved through a real coded micro-genetic algorithm. The reliability of the proposed approach is experimentally validated via static tensile tests as well as by the frequency response evaluation.
laminate composite; guided waves; group velocities; effective elastic properties; piezoelectric actuators; laser vibrometry
https://mpm.spbstu.ru/article/2015.40.12/
MPM123_12_glushkov.pdf
RAR
RUS
61-65
Bragov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Konstantinov
Saint Petersburg State University
St.Petersburg, Russia
Petrov
St.-Petersburg State University
St.Petersburg, Russia
Evstifeev
Saint Petersburg State University
St.Petersburg, Russia
Structural-temporal approach for dynamic strength characterization of rock
Test results of rock obtained by split Hopkinson bar apparatus and his modifications. A uniform interpretation of fracture rate effects of the tested marble samples is given on the basis of the incubation time approach based on a set of fixed material constants. Time dependences of both compressive and tensile strengths are calculated using the incubation time fracture criterion.
rock; dynamic strength characterization; structural-temporal approach
https://mpm.spbstu.ru/article/2015.40.13/
MPM123_13_evstifeev.pdf
RAR
RUS
66-70
Abrosimov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Novosel’tseva
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
The identification of material parameters in nonlinear deformation models of metallic-plastic cylindrical shells under pulsed loading
A method of identification of material parameters in defining relations of elastic deformation of composite materials is developed based on the minimization of disagreement between experimental data and the results of numerical analysis of the dynamic behavior of double-layered metallic-plastic cylindrical shells under explosive loading.
material parameters; nonlinear deformation models; metallic-plastic cylindrical shells; pulsed loading
https://mpm.spbstu.ru/article/2015.40.14/
MPM123_14_abrosimov.pdf
RAR
RUS
71-75
Vatulyan
Southern Federal University
Rostov-on-Don, Russia
Nesterov
Southern Federal University
Rostov-on-Don, Russia
About the specifics of identification thermomechanical characteristics of functionally graded hollow cylinder
The coefficient inverse problem for functionally graded hollow cylinder is considered. The direct problem for a cylinder solved based on the joint use of the Laplace transform and the method of adjustment. The solution of the inverse problem is reduced to an iterative procedure, at each step, which is necessary for solving Fredholm integral equation of the 1st kind. Concrete examples of the reconstruction of thermomechanical characteristics are given.
functionally graded hollow cylinder; thermomechanical characteristics; Fredholm integral equation of the 1st kind
https://mpm.spbstu.ru/article/2015.40.15/
MPM123_15_vatulyan.pdf
RAR
RUS
76-78
Khromov
Komsomolsk-on-Amur State Technical University
Komsomolsk-on-Amur, Russia
Loshmanov
Komsomolsk-on-Amur State Technical University
Komsomolsk-on-Amur, Russia
Sirotin
Komsomolsk-on-Amur State Technical University
Komsomolsk-on-Amur, Russia
Influence of density change on fracture in the problem of material cutting
Possibility of using technological process of materials cutting to determine fracture characteristics connected to density change in a neighborhood of a crack's peak is considered.
fracture characteristics; crack's peak; density change
https://mpm.spbstu.ru/article/2015.40.16/
MPM123_16_khromov.pdf
RAR
RUS
79-82
Kapustin
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Gorokhov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Churilov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Models and prediction algorithms of fracture of structural elements for low- and high-cycle loading based on FEM
Mathematical models, methods, algorithms and developed based on them the results of numerical simulation based on FEM, approaches mechanics of the damaged medium, processes of deformation and fracture (from the generation stage of microdefects to the propagation of the main cracks) of structural elements for low- and high-cycle loading.
damage accumulation; fracture; low-cycle; high-cycle; fatigue; crack; extrapolation; FEM
https://mpm.spbstu.ru/article/2015.40.17/
MPM123_17_kapustin.pdf
RAR
RUS
83-86
Glazova
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Kochetkov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Krylov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Poverennov
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Numerically modeling of explosive loading processes of snow
Snow is modeled using S.S. Grigoryan's plastic compressible medium with nonlinear equations of state different for loading and unloading also capable of shear deformation. The adequacy of equation of state in the pressure range from tens to some hundreds megapascals is verified using comparison of one-dimensional plane problem's numerical solution of snow pack impact loading and available experimental data. The numerical solution's results of spherical explosion of blasting charge in snow are presented. Time-history dependences of radial and tangential stresses into the points located on the different distances from charge are analyzed. The analysis results are compared with data of experimental investigations.
numerically modeling; explosive; snow; deformation; stress; shock adiabat
https://mpm.spbstu.ru/article/2015.40.18/
MPM123_18_kochetkov.pdf
RAR
RUS
87-90
Kislitsyn
Nizhny Novgorod State University of Architecture and Civil Engineering
Nizhny Novgorod, Russia
Suprun
Nizhny Novgorod State University of Architecture and Civil Engineering
Nizhny Novgorod, Russia
Khromykh
Nizhny Novgorod State University of Architecture and Civil Engineering
Nizhny Novgorod, Russia
Domrachev
Nizhny Novgorod State University of Architecture and Civil Engineering
Nizhny Novgorod, Russia
Computing weakly parallelized calculations of objects made of materials with complex physical-mechanical properties
The article demonstrates, by the example of solving a problem of a high degree of static indefinability that the efficiency of parallelizing calculations drops drastically as the number of cores increases. This limits considerably a possibility to design computer systems capable to simulate reliably enough normal and abnormal operation of real technical objects by means of widely used multiprocess hardware. To solve a wide range of problems of deformed solids mechanics, a variant is offered to modernize the method of dividing an object into design units, suggested by the authors earlier, and to divide it into continuums, that provides practically unlimited possibilities for parallelizing a calculation process.
computing weakly parallelized calculations; deformed solids mechanics
https://mpm.spbstu.ru/article/2015.40.19/
MPM123_19_suprun.pdf
RAR
RUS
91-94
Kotov
Peter the Great St. Petersburg Polytechnic University
St.Petersburg, Russia
Linnik
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
Tarasova
Lobachevsky State University of Nizhni Novgorod
Nizhny Novgorod, Russia
The influence of stress distribution on stability of the displacement of conical indenter into the soil medium
Plane-parallel displacement of conical bodies in an elastoplastic medium on the basis of the hypothesis of locality is simulated. The parameters of the quadratic velocity model of local interaction are determined by solving the one-dimensional problem of the expansion of a spherical cavity. It is shown that the radial and angular velocity dependent on the stress distribution along the cone at oblique impact. We analyze the behavior of the angular velocity of rotation in time at different positions the center of gravity of a sharp cone.
elastoplastic medium; conical indenter; displacement; stress distribution
https://mpm.spbstu.ru/article/2015.40.20/
MPM123_20_kotov.pdf