A5048054962- Numerical methods in engineering
- Geotechnical and Geomechanical Engineering
- Elasticity and Wave Propagation
- Geotechnical Engineering and Underground Structures
- Composite Structure Analysis and Optimization
- Acoustic Wave Phenomena Research
- Electromagnetic Simulation and Numerical Methods
- Material Properties and Failure Mechanisms
- Composite Material Mechanics
- Contact Mechanics and Variational Inequalities
- Thermoelastic and Magnetoelastic Phenomena
- Advanced Numerical Methods in Computational Mathematics
- Radio Astronomy Observations and Technology
- Engineering and Agricultural Innovations
- Vibration and Dynamic Analysis
- Advanced materials and composites
- Hydrogen's biological and therapeutic effects
- Astrophysics and Cosmic Phenomena
- Material Properties and Applications
- Fluid Dynamics Simulations and Interactions
- Proteoglycans and glycosaminoglycans research
- Titanium Alloys Microstructure and Properties
- Dynamics and Control of Mechanical Systems
- Seismic Imaging and Inversion Techniques
- Industrial Engineering and Technologies
N. I. Lobachevsky State University of Nizhny Novgorod
2008-2024
Far Eastern Federal University
2023-2024
National Academy of Sciences of Ukraine
2016-2020
Institute of Radio Astronomy
2016-2020
Yaroslav-the-Wise Novgorod State University
2014-2016
Physical Sciences (United States)
2016
New York University
2013
A direct approach of the boundary element method for treating 3-D boundary-value problems poroelastodynamics is considered. Biot’s material model with four unknown base functions used. Computational results surface responses displacements and pore pressures as a force acting on half-space weakened by cavity are presented.
The report presents the development of time-boundary element methodology and a description related software based on stepped method numerical inversion integral Laplace transform in combination with family Runge-Kutta methods for analyzing 3-D mixed initial boundary-value problems dynamics inhomogeneous elastic poro-elastic bodies. results investigation are presented. is direct-approach boundary equations isotropic linear theories elasticity poroelasticity transforms. Poroelastic media...
Problems of the poroviscodynamics are considered. Theory poroviscoelasticity is based on Biot’s equations fluid saturated porous media under assumption that skeleton viscoelastic. Viscoelastic effects solid modeled by mean elastic-viscoelastic correspondence principle, using such viscoelastic models as a standard linear model and with weakly singular kernel. The taken original in formulation without effects. Boundary integral method applied to solve three-dimensional boundary-value problems....
In the framework of damage mechanics, we discuss a new mathematical model that describes kinetics stress–strain state and accumulation during material degradation by mechanism long-term strength under complex multiaxial stress state. An experimental theoretical technique is proposed for determination parameters scalar constitutive functions damaged media based on specially set experiments laboratory specimens. The results studies numerical simulations short-term high-temperature creep VT6...
The influence of molecular hydrogen on the fertility parameters and energy metabolism spermatozoids black-and-white Holstein bulls was studied. Sperm diluted with sterile BioXcell medium (France), in water. We studied native sperm hydrogen, as well after deep freezing without pre-treatment hydrogen. addition to for diluting subsequent changed functional status cells thawing, leading an increase their motility, number motile fast sperm, a decrease slow relative analyzed indicators...
The effect of molecular hydrogen during cryopreservation on the ultrastructures bovine sperm cells has been studied. study was performed production black-and-white Holstein bulls. diluted with a sterile BioXcell medium (France). To bulls, “BioXcell” water used. Native «BioXcell» diluent, after deep freezing and freezing, pretreated hydrogen, were morphological parameters spermatozoa showed an increase in anomaly structure head, chromatin is insufficiently condensed, content altered position...
A three-phase mathematical model of a partially saturated porous medium, based on Biot's model, with five basic functions for describing wave processes is considered. Based the theorem operational computation integrating original, stepped method numerical inversion Laplace transform presented. modification introduced, and its effectivity analyzed, using example piecewise-linear function. The made it possible to reduce number points necessary achieving required accuracy. problem load acting...
The development of time-step boundary-element scheme for the three dimensional boundaryvalue problems poroelastodynamics is presented. poroelastic continuum described using Biot’s mathematical model. Poroelastic material assumed to consist a solid phase constituting an elastic formdefining skeleton and carrying most loading, two fluid phases filling pores. Dynamic equations medium are written unknown functions displacement pore pressures materials. Green’s matrices and, based on it, boundary...
Direct boundary element method formulation for transient dynamic linear piezoelectricity is presented. Integral representations of Laplace transformed piezoelectric fundamental solutions are used. domain BEM inverted in real time by the stepping method. Numerical example analysis
The action of a non-stationary force on deformed porous-elastic die rigidly interacting with half-space is analyzed in 3D formulation, using BEM combination the integral Laplace transform. displacement and flow responses are constructed. used to demonstrate effect formation Raleigh wave. Keywords: boundary element, material, half-space, die, dynamics.
The solutions of one-dimensional problems dynamic poroelasticity are considered. Methodology for the numerical analysis and examples numerically modeling given. Key words: poroelasticity, 1-D problems, inversion integral transformations, analytical solutions.
РоссияВ статье представлен подход метода граничных элементов (МГЭ) с явным учетом переменной времени по решению трехмерных динамических задач теории упругости для составных тел.Использована гранично-элементная техника построения дискретного аналога в
The calculation results of a dynamic state visco-elastic bodies are presented based on boundaryelement method in combination with the convocation quadrature and Durbin's method. solution boundary problems explicitly 3-dimensional statement is performed without using step procedures. Key words: compound viscoelastic bodies, element method, three-dimensional problem.
A scheme of a boundary-element method is given in combination with convocation quadrature method. The modifications the are considered. results numerical experiments showing advantages obtained presented. Key words: boundary element method, modification problems elastodynamics.
The report presents a modification of time-step scheme on the nodes Runge-Kutta methods for solving 3-D dynamic poroelastic problems using boundary element method. To describe medium, Biot’s mathematical model material is employed, in which solid phase and two fluid phases, filling pores -liquid gas, are discerned. 2- 3-stage Lobatto were chosen as particular example methods. A comparison results obtained method Euler presented.
Cutting edge astrophysical studies require more and observing time at low-frequency radio telescopes, which is limited quite expensive. Modern digital signal processing systems still unable to provide affordable computational storage resources allow simultaneous beamforming in a wide frequency range for multiple studies. Low-frequency telescopes of new generation are very flexible could be split into subarrays or groups some do not large antenna effective area high directivity. In this paper...
An approach of the boundary integral equations method (BIEM) which enables to solve dynamic problems not only in an isotropic case but also anisotropic one is presented. A boundaryelement scheme BIEM based on a regular equation first kind (an plane wave). The result numerical computation 3-dimentional problem wave shown for time scientific and technical literature.