https://www.elibrary.ru/title_about_new.asp?i
1605-8119
Materials physics and mechanics
31
1/2
2017
1-96
RAR
RUS
1-4
Lobachevsky State University of Nizhni Novgorod
Igumnov
Nizhni Novgorod, Russia
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
Litvinchuk
Nizhni Novgorod, Russia
Boundary element method in solving dynamic problem of poroviscoelastic prismatic solid
Boundary-value problem of three-dimensional poroviscoelasticity is considered. The basic equations for fluid-saturated porous media proposed by Biot are modified by applying elastic-viscoelastic principle to classical linear elastic model of the solid skeleton. To describe viscoelastic properties of the solid skeleton model with weakly singular kernel is used. Boundary Integral Equations (BIE) method and Boundary-Element Method (BEM) with mixed discretization are applied to obtain numerical results. Solutions are obtained in Laplace domain. Modified Durbin's algorithm of numerical inversion of Laplace transform is used to perform solutions in time domain. An influence of viscoelastic parameter coefficient on dynamic responses is studied.
poroviscoelasticity; dynamic problem; boundary element method
https://mpm.spbstu.ru/article/2017.53.1/
MPM131_01_igumnov.pdf
RAR
RUS
5-8
Lobachevsky State University of Nizhni Novgorod
Igumnov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Markov
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Amenitskiy
Nizhni Novgorod, Russia
Lobachevsky State University of Nizhni Novgorod
Vorobtsov
Nizhny Novgorod, Russia
Dynamic analysis of 3D composite piezoelectric solids using BEM
A Laplace domain direct boundary element approach for the three-dimensional dynamic analysis of the composite piezoelectric solids is presented. Integral representations of the fundamental solutions are used. Time domain solutions are obtained by the modified Durbin's method. Proposed boundary element formulation is verified through numerical examples.
3D composite piezoelectric solids; dynamic analysis; boundary element approach; modified Durbin's method
https://mpm.spbstu.ru/article/2017.53.2/
MPM131_02_igumnov.pdf
RAR
RUS
9-11
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
Don State Technical University
Aizikovich
Rostov-on-Don, Russia
Simulation of a compressional slow wave in partially saturated poroelastic 1-D column
We simulate wave propagation in a partially saturated porous medium, where the feature is the presence of a slow wave. The pores are filled with a wetting fluid and a nonwetting fluid, and the model, based on a Biot-type three-phase theory. In the present paper, the solution of a finite one dimensional column with Neumann and Dirichlet boundary conditions are presented. The solution is obtained in the Laplace domain and the time-step method is chosen to obtain the time domain solution. The material data of Massillion sandstone are used for calculations. The column response to the dynamic loading is examined in terms of displacement, pore water pressure, pore air pressure. By neglecting the viscosity of the fluid, assuming very large permeabilities, the second compressional wave are identified.
partially saturated porous medium; wave propagation; compressional slow wave; simulation
https://mpm.spbstu.ru/article/2017.53.3/
MPM131_03_igumnov.pdf
RAR
RUS
12-15
Saint-Petersburg State University of Architecture and Civil Engineering
Kagan-Rosenzweig
St.Petersburg, Russia
On calculation of natural frequencies of compressed rods with variable cross-section
A method of constructing improved basis functions for frequency calculation by means of Bubnov-Galerkin method is proposed. Method efficiency is demonstrated by analysis of cantilever rod with variable cross-section. Natural frequencies of such unloaded rod are calculated, and critical force for a rod compressed by follower force is determined.
compressed rods; variable cross-section; frequencies; method of calculation
https://mpm.spbstu.ru/article/2017.53.4/
MPM131_04_kagan-rosenzweig.pdf
RAR
RUS
16-19
St. Petersburg State University of Architecture and Civil Engineering
Karpov
St.Petersburg, Russia
St. Petersburg State University of Architecture and Civil Engineering
Semenov
St.Petersburg, Russia
Numerical methods for calculating the strength and stability of stiffened orthotropic shells
The article discusses coatings of building structures in the form of shells, made of advanced composite materials. A mathematical shell model takes into account the geometric nonlinearity, orthotropy of material, transverse shifts, presence of reinforcement ribs. The study algorithm of this model is based on the minimization of the functional of the total potential energy of shell deformation and the linearization of the problem through best parameter continuation. Based on the software product developed, a comprehensive study of the strength and stability of various shell structures has been conducted. The efficiency of the use of orthotropic composite materials compared to traditional isotropic ones is shown.
stiffened orthotropic shell; strength; stability; numerical methods
https://mpm.spbstu.ru/article/2017.53.5/
MPM131_05_karpov.pdf
RAR
RUS
20-22
Saint Petersburg State University of Architecture and Civil Engineering
Kondrat'eva
St.Petersburg, Russia
Petersburg State Transport University of Emperor Alexander I
Povarova
St.Petersburg, Russia
Influence of various factors on the value of critical force and the frequency of free oscillations of polyhedral shellss
In this paper, we present the results of analytical researches on the influence of various factors on the value of critical force and the frequency of free oscillations of thin shallow polyhedral shells made of flat plates. Here we show the dependency graphs of the free oscillation frequency on the shell aspect ratio and the number of fractures and give practical recommendations to the design engineers.
thin shallow polyhedral shell; frequency of free oscillations; critical force
https://mpm.spbstu.ru/article/2017.53.6/
MPM131_06_kondratyeva.pdf
RAR
RUS
23-27
Petersburg State Transport University of Emperor Alexander I
Kukhareva
St.Petersburg, Russia
The solution of boundary problems for shape memory alloy cylinder and plate
A connected thermomechanical boundary problems for TiNi cylinder and plate, loaded by an external force and subjected to cooling or heating from the surface, has been solved. The constitutive relations are given by the microstructural model. Even for a low cooling rate, the temperature, stress, and martensite volume fraction are inhomogeneous, and the transformation-induced strain in the force direction decreases with an increase in the temperature rate.
alloy with shape memory; cylinder; plate; thermomechanical boundary-value problems
https://mpm.spbstu.ru/article/2017.53.7/
MPM131_07_kukhareva.pdf
RAR
RUS
28-31
Peter the Great St. Petersburg Polytechnic University
Lalin
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Zdanchuk
St.Petersburg, Russia
Conditions on the surface of discontinuity for the reduced Cosserat continuum
In this work, we consider a mathematical model for granular medium. Here we claim that reduced Cosserat continuum is a suitable model to describe granular materials. Reduced Cosserat continuum is an elastic medium, where all translations and rotations are independent. Moreover, a force stress tensor is asymmetric and a couple stress tensor is equal to zero. In paper, we are aiming to establish a continuity conditions for nonlinear reduced Cosserat continuum.
granular materials; reduced Cosserat continuum; conditions on the surface of discontinuity
https://mpm.spbstu.ru/article/2017.53.8/
MPM131_08_lalin.pdf
RAR
RUS
32-35
“Vedeneev VNIIG” JSC
Le-Zakharov
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Melnikov
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Semenov
Artem
St.Petersburg, Russia
Nonlinear analysis of fluid saturated soil and rock under complex hydromechanical loading on the base of poroplastic models
The elastic-plastic model is adopted to simulate the behavior of saturated porous material under mechanical and hydraulic loading. Linear strains are calculated with Biot coupled poroelastic equations. Transition to the plastic state is determined by Mohr-Coulomb or Drucker-Prager criterion in Terzaghi effective stress space. Multisurface theory of plasticity algorithms are used for integration of nonlinear constitutive equations. The results of computations show a good agreement in comparison with available experimental data.
saturated porous material; mechanical and hydraulic loading; poroplastic model; nonlinear analysis
https://mpm.spbstu.ru/article/2017.53.9/
MPM131_09_le-zakharov.pdf
RAR
RUS
36-39
St.Petersburg State University
Matrosov
St.Petersburg, Russia
St.Petersburg State University
Shirunov
St.Petersburg, Russia
Analyzing thick layered plates under their own weight by the method of initial functions
Taking into consideration an own weight when analyzing massive solids is rather important problem of the theory of elasticity and structural mechanics. Thick layered plates are often used as elements of various constructions. The method of initial functions (MIF) is very suitable for their analyzing. In this article the MIF algorithm for taking into account the stress from own weight is extended to analyze layered plates.
thick layered plate; method of initial functions
https://mpm.spbstu.ru/article/2017.53.10/
MPM131_10_matrosov.pdf
RAR
RUS
40-43
St. Petersburg State University of Architecture and Civil Engineering
Morozov
St.Petersburg, Russia
St. Petersburg State University of Architecture and Civil Engineering
Pukharenko
St.Petersburg, Russia
St. Petersburg State University of Architecture and Civil Engineering
Yushin
St.Petersburg, Russia
The numerical investigations of double-span concrete beams strengthened with fiber reinforced plastics across the oblique section
We suggest a method for finite-element modelling of beams strengthened with fiber reinforced plastics (carbon fiber-reinforced plastics), which allows analyzing the mechanism of cracks formation and forecasting the failure mode when planning physical experiments. We have represented the comparison of schemes of crack formation obtained as a result of numerical modelling.
double-span concrete beams; carbon fiber-reinforced plastics; mechanism of cracks formation
https://mpm.spbstu.ru/article/2017.53.11/
MPM131_11_morozov.pdf
RAR
RUS
44-47
Rolls-Royce Deutschland Ltd & Co KG
Nosikov
Oberursel, Germany
Peter the Great St. Petersburg Polytechnic University
Semenov
Artem
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Melnikov
St.Petersburg, Russia
Ahmet Yesevi University
Rayimberdiyev
Turkestan, Kazakhstan
Prediction of short fatigue crack propagation on the base of non-local fracture criterion
Models of short fatigue crack propagation, taking into account the non-monotonic crack growth rate and predicting an existence of one or several threshold stress intensity factors, are considered. The models are formulated on the base of Leonov-Panasyuk-Dugdale formalism with using the non-local fracture criterion. A comparison of the obtained results with experimental data are given and discussed.
fatigue crack; crack propagation; crack growth rate; non-local fracture criterion
https://mpm.spbstu.ru/article/2017.53.12/
MPM131_12_nosikov.pdf
RAR
RUS
48-51
Institute of Problems of Chemical Physics RAS
Ostrik
Chernogolovka, Russia
Utkin
Calculation of a shock adiabatic curve for syntactic foam taking into account presence of gas component localized in hollow microspheres
Calculation method for shock adiabatic curves of syntactic foam are considered. The comparison results of the calculated and experimental data are given. The satisfactory consent of these data is shown. Influence of gas components on dynamic compressibility of syntactic foam is received when initial gas pressure is more 50 bar.
syntactic foam; hollow microspheres; gas component; shock adiabatic curves; calculation method
https://mpm.spbstu.ru/article/2017.53.13/
MPM131_13_ostrik.pdf
RAR
RUS
52-55
St.Petersburg State University
Pronina
St.Petersburg, Russia
St.Petersburg State University
Khryashchev
St.Petersburg, Russia
Mechanochemical growth of an elliptical hole under normal pressure
An approximate analytical benchmark for the problem of nonuniform mechanochemical wear of an infinite plane with an elliptical hole under internal normal pressure is presented. The solution is developed for the cases when the minor axis of the ellipse is greater than the half of the major one. The rate of material dissolution is supposed to be linearly dependent on the maximum principal stress at a corresponding point on the surface of the hole.
mechanochemical wear; infinite plane; elliptical hole; internal normal pressure
https://mpm.spbstu.ru/article/2017.53.14/
MPM131_14_pronina.pdf
RAR
RUS
56-58
JSC "NITS "STROITELSTVO" TSNIISK named after V.A. Kucherenko
Pyatikrestovsky
Russia
"Gorproekt"
Travush
Russia
A complex analysis of stress-strain state of ribbed wooden structures with anisotropic sheathings
The article analyzes constructions with a frame from straight or curved rods creating orthogonal net, the cells of which are filled with slab materials vulnerable to shear. For computer calculation the method of deformation integral module and the strength criteria for elements in complex stress state are used. Calculation preconditions and basic correlations are provided.
ribbed wooden structures; anisotropic sheathings; stress-strain state
https://mpm.spbstu.ru/article/2017.53.15/
MPM131_15_pyatikrestovsky.pdf
RAR
RUS
59-62
St. Petersburg State University of Architecture and Civil Engineering
Pukharenko
St.Petersburg, Russia
Saint Petersburg State University of Architecture and Civil Engineering
Letenko
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Nikitin
St.Petersburg, Russia
St. Petersburg State University of Architecture and Civil Engineering
Morozov
St.Petersburg, Russia
Obtaining the nanomodifier for cement composites based on the "DEALTOM" carbon nanotubes
In this paper we present the method for obtaining and the results of application of a new nanomodifier for concrete mixes plasticizers, which is the composition of the DEALTOM material with branched bulk structure and the high-reactive carbon-carbon composite by SPSUACE (Saint Petersburg State University of Architecture and Civil Engineering). As a result, we have obtained a product that has more powerful influence on rheology of concrete mix and structure of cement rock than the DEALTOM and SPSUACE nanomaterials used separately in the same concentration.
cement composites; nanomodifier; method for obtaining; carbon nanotubes
https://mpm.spbstu.ru/article/2017.53.16/
MPM131_16_pukharenko.pdf
RAR
RUS
63-66
St.Petersburg State University of Architecture and Civil Engineering
Belyy
St.Petersburg, Russia
St.Petersburg State University of Architecture and Civil Engineering
Askinazi
St.Petersburg, Russia
Overall stability of steel web-tapered members
Efficient analytical-numerical method for the calculation ultimate capacity of thinwalled steel web-tapered members under biaxial loading is presented. It allows to determine ultimate loads and displacements faster than using FEM. Results made by presented method for three loading schemes are demonstrated.
thin-walled steel web-tapered members; biaxial loading; tfficient analyticalnumerical method
https://mpm.spbstu.ru/article/2017.53.17/
MPM131_17_belyy.pdf
RAR
RUS
67-70
St.Petersburg State University of Architecture and Civil Engineering
Rutman
St.Petersburg, Russia
St.Petersburg State University of Architecture and Civil Engineering
Meleshko
St.Petersburg, Russia
The generalization of the flexibility method for elastoplastic computation of rod systems
On the basis of generalization of the flexibility method mathematical models are developed describing the elastoplastic deformation of the rods. The algorithm of calculation of the tangential rigidities is presented.
rod systems; elastoplastic deformation; mathematical model; flexibility metho
https://mpm.spbstu.ru/article/2017.53.18/
MPM131_18_rutman.pdf
RAR
RUS
71-74
Petersburg State Transport University
Smirnov
St.Petersburg, Russia
Fracture assessment diagram for solid with circular crack subjected to concentrated forces
Structural criterion of fracture is used to evaluate the ultimate load for solid weakened by circular crack deformed by the action of two point forces applied to the crack faces at its center. Estimation of the risk of failure is based on the two-criterion approach under linear elastic conditions.
solid with circular crack; concentrated forces; fracture
https://mpm.spbstu.ru/article/2017.53.19/
MPM131_19_smirnov.pdf
RAR
RUS
75-77
Saint-Petersburg State University of Industrial Technologies and Design
Stepashkina
St.Petersburg, Russia
Mozhaisky Military Space Academy
Kotskovich
St.Petersburg, Russia
Mozhaisky Military Space Academy
Altukhov
St.Petersburg, Russia
Mozhaisky Military Space Academy
Rymkevich
St.Petersburg, Russia
Heat distribution with structure in solid states
The concept of the heat stream structure was introduced. It is considered that heat transfer is carried out on N channels each of which has the own heat distribution speed and frequency. The equation describing heat transfer process in a one-dimensional crystal was offered.
solids; heat transfer; heat stream structure; heat distribution speed
https://mpm.spbstu.ru/article/2017.53.20/
MPM131_20_stepashkina.pdf
RAR
RUS
78-81
St.-Petersburg State University
Fedorovsky
St.Petersburg, Russia
The chronomechanics of deformation and strength of nanomaterials
The analysis of phenomenological modeling of elastoviscoplasticity properties of bulk nanostructures is executed. The determining equations of interrelation of deformation and durability properties of initial and nanostructural bulk materials are constructed on the basis of endochronic concepts to the data of diagrams of their stretching, with the use of "vertical" and "horizontal" scales of generalized time depending on parameters of structure and manufacturing techniques. Examples of application of the approach to metals and fulleren-polymeric composites are considered.
nanomaterials; elastoviscoplasticity; endochronic concepts
https://mpm.spbstu.ru/article/2017.53.21/
MPM131_21_fedorovsky.pdf
RAR
RUS
82-85
Peter the Great St. Petersburg Polytechnic University
Chernysheva
St.Petersburg, Russia
Peter the Great St. Petersburg Polytechnic University
Rozin
St.Petersburg, Russia
Algorithm of combined method of 3D analysis for the boundary problems in infinite medium
Algorithm of the 3D analysis developed for solution of boundary problem by combined method based on incorporating the FEM and Somigliana's integral formula is considered. The algorithm is modified for the case of inhomogeneous medium. Efficiency of software implementations of both algorithms has been tested.
infinite medium; boundary problems; combined method; FEM; Somigliana.s integral formula
https://mpm.spbstu.ru/article/2017.53.22/
MPM131_22_chernysheva.pdf
RAR
RUS
86-88
JSC “Command Devices Research Institute”
Shevchenko
St.Petersburg, Russia
Express - evaluation of CMG gyro response in case of random vibration
Express-evaluation of gyro of CMG response in case of random vibration and receiving of frequency-response characteristic are represented. Comparison of calculation results and test data indicates their satisfactory conformity.
random vibration; express-evaluation of gyro of CMG response; frequencyresponse characteristic
https://mpm.spbstu.ru/article/2017.53.23/
MPM131_23_shevchenko.pdf
RAR
RUS
89-92
Peter the Great St. Petersburg Polytechnic University
Arutyunyan
A.R.
St.Petersburg, Russia
Saint Petersburg State University
Arutyunyan R.A.
R.A.
St.Petersburg, Russia
The condition of transition to unstable state (necking) of a compressible elastic-plastic medium
On the stress-strain curves obtained in simple tensile experiments for the metallic specimens a region of instability due to the formation of a neck is observed. In the theory of plasticity the conditions of transition to the unstable state and the appearance of the maximum point on the of stress-strain curve are defined. When this condition is derivate, the assumption of incompressibility of the material is accepted. However, this assumption cannot be justified, because in the neck region the numerous damages appear, i.e. the material becomes compressible. In the article, the condition of transition to unstable state for a compressible plastic medium is formulated.
elastic-plastic medium; unstable state; necking; condition of transition
https://mpm.spbstu.ru/article/2017.53.24/
MPM131_24_arutyunyan.pdf
RAR
RUS
93-96
Institute of the Applied Mechanics Russian Academy of Science
Bakulin
Moscow, Russia
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU
Revenko
Lviv, Ukraine
Method of homogeneous solutions in three-dimensional problems for multilayer cylindrical body
We consider the three-dimensional stress-strain state of the final laminated cylinder. Three-dimensional homogeneous solutions are constructed for layers of the cylinder with unloaded ends. Solution of boundary value problems is reduced to minimize the generalized quadratic form. The numerical convergence criterion method was established.Stress states of the cylinder under the influence of local efforts, distributed according to different laws: linear, quadratic, trapezoidal are studied. New regularities of distribution of the stress-strained state in structure elements are discussed.
multilayer cylindrical body; three-dimensional stress-strain state; boundary value problems
https://mpm.spbstu.ru/article/2017.53.25/
MPM131_25_bakulin.pdf