Advanced Mechanics and Modeling

• Computer-Based Technology in Mechanics. Analytical Packages
• Computer-Based Technology in Mechanics. Application Suites
• Computer Modelling and Applied Software Packages
• Machine Learning and Big data
• History of Mechanics and Applied Mathematics
• Numerical Methods in Mechanics
• Modern Continuum Mechanics
• Research  Seminar. Current Issues in Mechanics
• Interdisciplinary Problems in Mechanics
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• Laboratory and Computational Workshop
• Fundamentals of Scientific Research
• Group Project Work
• Research  Seminar
• Research Internship
• Research Project
• Research and Teaching Practice
• Practical Training (Research Work)
• Internship
• Presentation of Scientific Investigation Results

Also, elective courses are available for students:

• Materials Science
• Dynamics and Control Theory
• Experiments in Aerodynamics

• Introduction to Biomechanics
• Multiphase Flows
• Boundary Value Problems of Nonlocal Fluid Dynamics
• Vibrations of Elastic Bodies
• Current Solid Mechanics   
• Deformation and Fracture Mechanics
• Computational Fluid Dynamics
• Mechanics of Rigid Bodies: Theory and Applications
• Physical Mechanisms of Deformation and Fracture
• Asymptotic Methods in Mechanics
• Nonequilibrium Gas Dynamics
• Introduction to Deformation and Fracture of Solids
• Elastic Stability
• Hypersonic Flows
• Mechatronics
• Introduction to Nanomechanics

• The programme provides fundamental education in the field of mathematics, mechanics and computer science. It also enables students to master the scientific methods of mechanical and mathematical modelling of physical processes. 
• An outstanding team of lecturers and research associates provides training in all areas of advanced mechanics, as well as interdisciplinary areas at the intersection of chemistry, physics, biology, computational mathematics and other sciences.
• The academic staff of the programme implements fascinating advanced projects in: the mechanics of thin-walled structures; dynamics of spacecraft; rotor dynamics; biomechanics; experimental aerodynamics; physicochemical gas dynamics; multilayer nanotubes; properties of shape memory materials; strongly nonequilibrium processes in the mechanics of inhomogeneous and structured media; and others.  The existence of acting schools of thought provides students with an opportunity to be actively engaged in research work.
• Most of the focus is on creative research work and an in-depth study of the subjects in accordance with the chosen profile.
• Working on unique experimental facilities in our own laboratories and combined theoretical and experimental approaches make it possible for students to investigate comprehensively the most complex problems of mechanics.
• Students master applied programmes for solving problems of: theoretical mechanics; fluid and gas mechanics; and elasticity theory (ANSYS, FLUENT, etc.). They also develop their own algorithms and programmes for specific problems of advanced mechanics using the state-of-the-art computer facilities.
• Students have the opportunity to: be involved in grant research implemented by the teaching staff; take part in contests of youth projects; and present their reports at international conferences.

Students are involved in grants / projects implemented within the framework of the academic programme (the University).

• The Russian Foundation for Basic Research projects:

‘Investigation of the effects of unstable behaviour of failure characteristics of materials in high-speed and impulse action tests’; ‘Relationship between crystallographic and thermodynamic features of structural-phase transitions with functional properties of shape memory alloys’; ‘Non-stability effects of limiting characteristics of fracture and irreversible deformation of materials under dynamic loads’; ‘Development of shooting methods for shape memory alloy bodies using macroscopic and microstructural models’; ‘Damage and long-term strength of aged viscous-elastic media’; ‘Modelling highly non-equilibrium flows of gas mixtures of the atmospheres of Earth and Mars using new approaches of kinetic theory’; ‘Shock waves in carbon dioxide with regard to vibrational relaxation’; ‘New efficient methods for calculating the energy exchange rate coefficients in carbon dioxide’; and ‘Structure and properties modification of porous TiNi alloy obtained by self-propagating high-temperature synthesis with simultaneous action of ultrasound’.

• The Russian Science Foundation:

‘Modelling of nonequilibrium carbon dioxide flows in modern problems of space aerodynamics and environment’; ‘Development of methods for the numerical simulation of supersonic and hypersonic gas flows using graphic processes’; and ‘Development of the physical basis for the design of shape memory alloy thermal mechanical actuator with a narrow working temperature cycle’.

• St Petersburg University projects:

‘Machine learning in nonequilibrium aerodynamics problems’

Students take part in research projects that are implemented in collaboration with the world's top scientific centres (the European Space Agency; French and German aerospace research centres) and leading universities in Europe (Great Britain, France, Italy, Germany, Sweden), the USA, Canada, China, and Brazil.

• Biomechanics
• Computational fluid dynamics
• Dynamics of charged microparticles
• Spacecraft dynamics
• Fluctuations of solid state and elastic bodies, rotor dynamics
• Solid Mechanics
• Mechanics of shape memory alloys
• Mechanics of nanomaterials
• Investigation of materials behaviour under extreme conditions
• Fluid, gas and plasma mechanics
• Mechanics of composites and nanomaterials
• Mechanics of nonholonomic systems
• Supersonic and subsonic aerodynamics
• Theory of transport and relaxation processes in non-equilibrium media
• Theory of elasticity, viscoelasticity and plasticity
• Physical mechanics of continuous media
• Electromechanics and robotics

Professions

• Graduates of the programme work in: research, engineering and design institutions; the construction industry; mechanical engineering; the aerospace industry; mass computing and communication; and other fields of technology and natural science.
• The graduates will be able to carry out research activities related to the development and application of mathematical methods for solving fundamental and applied problems of natural science, technology, economics and management. Their activities are related to mathematical modelling, scientific and applied research for science-driven high-tech industries, production and technology.
• Our graduates will be able to work as: research associates; specialists in research and development; specialists in the organisation and management of research and development projects; and teachers of higher and secondary education.