Suggested research topics

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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


Category: Students' projects