Scientific Projects
| Project: | Mathematical models of computational nonlinear mechanics of deformable media. |
| Project manager: | Sultanov Lenar Usmanovich |
The project is dedicated to the construction of mathematical models of computational nonlinear mechanics of deformable media. within the framework of the project, numerical studies are carried out on the final deformations of hyperelastic bodies, large deformations of bodies, taking into account the incompressibility of the material. the problem of large elastoplastic deformations is solved using the finite element method and nonlinear deformations taking into account the contact interaction.
Fundings:
Mathematical modeling of nonlinear processes of deformation of three-dimensional bodies (RFBR-765, ANF-765) 2015-2017
Mathematical modeling of nonlinear deformation of three-dimensional bodies (RFBR-735) 2015-2017
| Project: | Simulation of geometrically nonlinear deformation of three-dimensional elastoplastic structures and media |
| Project manager: | Berezhnoj Dmitrij Valerevich |
The project is devoted to the study of nonlinear deformation of elements of three-dimensional structures that interact with each other and with their environments. the project has found the use of the particle method in the mechanics of a deformable solid. The constructed models are used to simulate the deformation of fine-grained porous media and reinforced elements of building structures, the numerical implementation of the localization processes of a microseismic event and the determination of its parameters, as well as the study of stresses in a super flywheel.
Fundings:
Simulation of geometrically nonlinear deformation of three-dimensional elastoplastic structures and media (RFBR-771, ANF -771) 2015-2017
| Project: | Research and construction of biomechanical models of porous media (bone tissue) |
| Project manager: | Sachenkov Oskar Aleksandrovich |
The project is dedicated to building mathematical models for describing porous media (as applied to bone tissue), building models for studying the stress-strain state of such media. as well as the construction of personalized models according to the computed tomography of patients. In particular, mathematical models are studied to describe the processes of adaptation of bone tissue to external force effects.
Fundings:
Creating a mathematical model of the organs of bone tissue, taking into account their geometric and structural properties (MKR-32) 2018-2019
| Project: | Design and calibration calculations of medical devices (traumatology and orthopedics) |
| Project manager: |
The project is dedicated to the construction of mathematical models of surgical intervention in the field of traumatology and orthopedics. The project is of an applied nature and is aimed at developing engineering solutions and products for the needs of practicing orthopedic doctors.
Fundings:
Evaluation of stresses in flat non-stationary contact problems for absolutely solid stamps in the presence of a stamp coating deficit (RFBR-920) 2018
Mathematical modeling of rotational osteotomy of the femur in the treatment of osteochathy of the femoral head (RFBR-673) 2014-2015
| Project: | Neuromodulation of the central nervous system to restore motor control and musculoskeletal system in conditions of changes in motor activity or injury |
| Project manager: | Sachenkov Oskar Aleksandrovich |
Collaboration with a research laboratory OpenLab Rehabilitation in movement disorders.
The project is aimed at studying the mechanisms of control of motor control and musculoskeletal system in conditions of changes in motor activity or injury. The project includes experimental in vivo research and the construction of mathematical models that adequately describe the processes taking place.
Fundings:
Determination of the effect of muscle activity on the properties of bone tissue (RSF 18-70) 2018-2021
Study of the mechanisms of evolution of the mechanical and structural properties of bone tissue during adaptation to hypo-and hypergravity conditions (RFBR-814) 2016-2018
Neuromodulation of the central nervous system to restore motor control and musculoskeletal system in conditions of changes in motor activity (State Task № 17.9783.2017).
Photo of the research team
