Advanced Mechanics and Modeling

01.04.03In english

Level of education Master

Type of instruction Full-time

Duration 2 years

Full description

Programme Mission

We train highly qualified and internationally competitive specialists who are able to independently state and solve theoretical and practical problems in advanced mechanics and mathematical modelling, as well as in related subject areas.

Graduates of the programme are ready for successful professional activities 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.

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. Their fields of activity will be: mathematical modelling; and scientific and applied research for high-tech industries, and engineering and manufacturing activities.

The programme is focused on building and developing in students their skills in: conducting fundamental scientific research; and applying the apparatus of advanced theoretical and applied mathematics to solve the urgent challenging problems in all areas of advanced mechanics. These include: analytical mechanics; control theory; solid mechanics; mechanics of fluid, gas and plasma; and nano- and biomechanics. The programme is designed to provide students with a holistic education in higher mathematics, fundamental mechanics, and computer modelling techniques. It also develops their research and scientific abilities.

Key Skills

Our graduates are capable of solving fundamental research and applied problems in all areas of mechanics. These include: solid mechanics; mechanics of fluid, gas and plasma; theoretical mechanics; as well as interdisciplinary areas as biomechanics, physicochemical aerodynamics, and materials science.

The graduates will be able to work in the areas of:

  • fundamental problems of mathematics and mechanics;
  • advanced algorithms for solving applied problems;
  • a set of mathematical models of processes and phenomena in natural, technical and socio-economic sciences in their systemic unity;
  • objects of fundamental mechanics: deformable solid, fluid, gas, plasma, shells;
  • nanoobjects;
  • robots;
  • vehicles, including road, rail, water transport and aircrafts;
  • space objects such as spacecrafts, asteroids or comets;
  • processes of flow around bodies and structural elements by fluid or gas flows;
  • issues in protecting buildings, structures and constructions;
  • problems of optimal control and safe functioning of any production plant or its separate units;
  • natural phenomena and processes in the earth's crust.

After training, graduates of the programme will be capable of:

  • designing, analysing and solving problems related to the creation and application of mathematical models in mechanics;
  • using software and computer technology for topical problems of theoretical and applied mechanics;
  • performing numerical and full-scale mechanical experiments and processing the results.

They will also have the skills of scientific inquiry and research; know how to correlate new results with classical theories and make the best use of the achievements of modern science; know how to work in a research team; and have fundamental skills in teaching mathematics, mechanics and related subjects.

Entering Research and Professional Community

Our students are involved in work in research projects conducted by renowned scientists in promising fields of science that are critical for contemporary society. These include not only fundamental mechanics, aerospace, and shipbuilding industries, but also multidisciplinary fields such as nano- and biomechanics, materials science, and ecology. Research projects are funded by: the Russian Science Foundation; the Russian Foundation for Basic Research; the Ministry of Science and Higher Education of the Russian Federation; and the Committee on Science and Higher Education of St Petersburg.

Students also have the opportunity to take part in research activities that take place 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.

Students take part in international conferences in all branches of advanced mechanics such as: International Congress of Theoretical and Applied Mechanics; International Symposium on Rarefied Gas Dynamics; International Symposium on Shock Waves; European Conference on Aeronautic and Space Science; and many others.   

Among the partners of the programme organisers are:

  • the Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; the Central Aerohydrodynamic Institute; and Krylov State Research Centre.
  • Graduates of the programme can work at:
  • the institutes of the Russian Academy of Sciences;
  • Russian and foreign universities; the enterprises of the Roscosmos State Corporation;
  • subsidiaries of Gazprom Neft PJSC;
  • enterprises of the United Shipbuilding Corporation;
  • ‘Almaz – Antey’ Air and Space Defence Corporation JSC;
  • Krylov State Research Centre;
  • Baranov Central Institute of Aviation Motors;
  • and other enterprises of the aviation and shipbuilding industry.

Students have an opportunity to do internships and research practice in the scientific laboratories of St Petersburg University as well as in various organisations with which there are agreements on organising and conducting practical training for students of St Petersburg University:

  • Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
  • Krylov State Research Centre
  • 'REP Holding’ JSC
  • ‘Radar MMS’ JSC.
Key Features of the Programme

The programme covers such complex and fascinating fields of advanced mechanics as: mechanics of composites and nanomaterials; biomechanics; computational fluid dynamics; mechanics of fluid, gas and plasma; dynamics of charged microparticles; electromechanics; and robotics.

Master’s students will study the fundamentals of mechanics and other interdisciplinary areas at the intersection of chemistry, physics, biology, computational mathematics and other sciences and develop their ability for research and scientific activities. Special attention is paid to such disciplines as higher mathematics, fundamental mechanics, and methods of computer modelling.

Students can specialise in one of the following areas:

  • Biomechanics
  • Computational Fluid Dynamics
  • Dynamics of Charged Microparticles
  • Dynamics of Spacecraft
  • Oscillations of Solids and Elastic Bodies, Rotor Dynamics
  • Solid Mechanics
  • Mechanics of Fluid, Gas and Plasma
  • Mechanics of Composites and Nanomaterials
  • Mechanics of Nonholonomic Systems
  • Supersonic and Subsonic Aerodynamics
  • Theory of Transfer and Relaxation Processes in Nonequilibrium Media
  • Theory of Elasticity, Viscoelasticity and Plasticity
  • Physical Mechanics of Continuous Media
  • Electromechanics and Robotics

Benefits of the Programme

  • The programme provides fundamental education in the field of mathematics, mechanics and computer science. It also makes it possible for students to master the research 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, supersonic and 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.
Main Courses

Among academic courses studied within the programme are:

  • Computer Technologies in Mechanics
  • History of Mechanics and Applied Mathematics
  • Machine Learning and Big data
  • Advanced Continuum Mechanics
  • Numerical Methods in Mechanics
  • Interdisciplinary Problems

Also, elective courses are available for students:

  • Nonlinear Dynamics and Control Theory
  • Experiments in Aerodynamics
  • Deformation and Fracture Mechanics
  • Vibrations of Elastic Bodies
  • Hypersonic Flows
  • Mechatronics
  • and many others.
Teaching Staff

Our lecturers are internationally recognised scientists and experienced teachers:

Nikita Morozov, Head of the Department of Theory of Elasticity at St Petersburg University, Member of the Russian Academy of Sciences, Professor, Doctor of Physics and Mathematics. He is an expert on nonlinear elasticity theory and mathematical methods of fracture mechanics. He has published over 200 papers in Scopus and Web of Science.

Yuri Petrov, Professor, Head of the Department for Dynamics of Extreme States of Materials and Constructions at the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Corresponding Member of the Russian Academy of Sciences, Doctor of Physics and Mathematics. He is an expert on: dynamic theory of elasticity and plasticity; physics and mechanics of shock-wave processes; dynamics of deformation and fracture of solids; and detonation and explosion. He has published over 200 papers in Scopus and Web of Science.

Elena Kustova, Head of the Department of Fluid and Gas Mechanics at St Petersburg University, Doctor of Physics and Mathematics, Professor of the Russian Academy of Sciences. She is an expert on: the kinetic theory of transfer and relaxation processes in nonequilibrium reacting gases; and research into heat and mass transfer on the surface of aircraft entering the atmosphere of the Earth and Mars. She has published over 200 papers (with 120 of them in Scopus and Web of Science), five monographs and textbooks.

Nikolay Kuznetsov, Head of the Department of Applied Cybernetics at St Petersburg University, Doctor of Physics and Mathematics. He is an expert on control theory and nonlinear dynamics, one of the most cited scientists in the world according to the Web of Science Highly Cited Researchers 2019 ranking.