Suggested research topics
From Department of Theoretical and Applied Mechanics
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General information
Possible research topics are listed below. Anyone can take part in research, regardless of age, education, etc. In particular, the research can be carried out both by pupils and students. These studies can provide the basis of bachelor, master's or Ph.D. thesis, also it allows you to take part in research and commercial projects performed by the Department of Theoretical and Applied Mechanics SPbSPU.
Virtually all the research topics combine both fundamental and applied studies.
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Task list of ongoing projects
| Project name and proposed research topic | Contact person |
|---|---|
| Project "The Crystal" | |
| Modeling the diamond films growth in high-speed flow of gas mixtures | A.M. Krivtsov |
| Modeling of the shock waves propagation in crystals with defects by particle dynamics method | A.M. Krivtsov, V.A. Kuz'kin |
| Development of a torque potential for describing the elastic and strength properties of diamond and lonsdaleite | V.A. Kuz'kin |
| Development of mathematical models for describing the elastic and strength properties of graphite | V.A. Kuz'kin |
| Simulation of the experiment on the indentation of the graphene sheet | A.M. Krivtsov, V.A. Kuz'kin |
| Modeling of the graphene resonators | I.E. Berinskii, A.M. Krivtsov, V.A. Kuz'kin |
| Calculation of the lattice sums for the crystals | A.M. Krivtsov |
| Derivation of the equations of state for ideal crystals with many-particle interactions | V.A. Kuz'kin |
| Project "Hamburg" | |
| Modeling of the granular media dynamics in the presence of vibration by the discrete element method | A.M. Krivtsov, V.A. Kuz'kin |
| Development of the algorithms for the simulation of the particle dynamics in the gas stream | V.A. Kuz'kin |
| Modeling of the dynamic processes in condensed media by the method of smoothed particles hydrodynamics | V.A. Kuz'kin |
| Development of the interaction laws between non-spherical particles in 2D and 3D | V.A. Kuz'kin |
| Comparison of the algorithms for numerical integration of the rigid body dynamics equations | V.A. Kuz'kin |
| Project "Earth-Moon" | |
| Satellite motion in the gravitational field of a binary star | A.M. Krivtsov |
| Simulation of space-debris cleaning | A.M. Krivtsov |
| Development of models for the formation of the Earth-Moon system as a result of gravitational collapse of a dust cloud | A.M. Krivtsov |
| Project "Factoriya" | |
| Development of visualization tools for friction units with lubricants based on fullerenes | A.M. Krivtsov |
| Project "Sandia" | |
| Modeling of thermal conductivity and dissipation in crystals with defects | A.M. Krivtsov, V.A. Kuz'kin |
| Modeling of chemical reactions and physical-mechanical processes associated with the silicon oxidation | A.M. Krivtsov, V.A. Kuz'kin |
| Project "Pyrolysis" | |
| Modeling of the coking process in the cooling duct of the liquid rocket engines | A.M. Krivtsov |
| Project "HydroFrac" | |
| Simulation of the hydraulic fracturing and the proppant dynamics in the hydraulic fracture by the method of particle dynamics | A.M. Krivtsov, V.A. Kuz'kin |
| Modeling of the proppant dynamics in the hydraulic fracture | A.M. Krivtsov, V.A. Kuz'kin |
Task list
Below is a list of possible research topics not related to ongoing projects, but also of great interest.
| Suggested research topics | Contact person |
|---|---|
|
High Performance Computing, IT | |
| Development of algorithms for multiprocessor computing systems | A.M. Krivtsov, A.A. Le-Zakharov, A.J. Panchenko |
| Development of algorithms for computing using GPUs | I.E. Asonov, A.J. Panchenko |
| Suggested topics for project activities in computer science | I.E. Asonov |
| Mechanics of discrete media | |
| Mechanics of discrete media: formulation of the fundamental laws | A.M. Krivtsov |
| Study of the computer material properties consisting of different sized particles | A.M. Krivtsov, V.A. Kuz'kin |
| Study of oscillations of one-, two- and three- dimensional systems with torque interactions | A.M. Krivtsov, V.A. Kuz'kin |
| Simulation of surface tension in discrete systems | V.A. Kuz'kin |
| Determination of equivalent thermodynamic parameters of discrete rod systems with the torque interactions | V.A. Kuz'kin |
| Transition between the discrete and continuum mechanics | A.M. Krivtsov |
| Dynamic processes (waves) in discrete media | I.E. Berinskii |
| Thermodynamics of discrete media | A.M. Krivtsov |
| Transient thermal processes in discrete media | A.M. Krivtsov |
| Virtual materials: methods of creating and their physical and mechanical properties | A.M. Krivtsov |
| The Lennard-Jones material | A.M. Krivtsov |
| Construction of a discrete model of the atom in the framework of classical mechanics | A.M. Krivtsov |
|
Experimental studies and technical creativity | |
| Technical creativity: robotics, microelectronics, engineering, aircraft construction,... | I.E. Asonov |
| Mathematical modeling of drones | I.A. Vereninov |
| Development of mathematical models and prototypes of the machine for styrofoam cutting | I.A. Vereninov |
| Development of the inertial navigation system for tricopters | I.A. Vereninov |
| Development of algorithms for stitching images into 3D maps | I.A. Vereninov |
| Research of rods' dynamic buckling under compression: modeling and experiments | V.A. Kuz'kin |
| Creating of three-dimensional images (Photomechanics Ltd.) | A.A. Le-Zakharov, S.A. Le-Zakharov |
| Behavior of the materials under impact and explosive loads: theory and experiment (!) | V.A. Borovikov, A.M. Krivtsov |
|
Biomechanics | |
| Simulation of soft tissues and muscles and their interaction with artificial implants | I.E. Berinskii |
| High speed filming in the medical and sports biomechanics | I.E. Berinskii |
|
Rigid body dynamics | |
| Problems on rigid body dynamics | A.M. Krivtsov |
