International Master Degree Program

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MSc Advanced Dynamics of Discrete and Continuum Systems

Producing Institute: Institute of Applied Mathematics and Mechanics

Programme supervisor: Prof. Anton M. Krivtsov, Doctor of Physical and Mathematical Sciences, Head of the Department "Theoretical Mechanics"


Objective of the programme

The programme is run by key professors of the SPBSPU`s Institute of Mathematics and Mechanics as well as leading European technical universities. The underlying concept of the MSc program on “Advanced Dynamics of Discrete and Continuum System” is a balanced combination of fundamental and practical tuition, using methods of mechanics for the description of dynamic processes in different areas such as mechanics, physics, biology, sociology, economy, etc. All lectures and examinations are in English.

The aim of the programme is to prepare highly skilled scientists and engineers with a deep theoretical background and practical experience in theoretical mechanics, computational mechanics, IT, mathematical modelling and simulations, and distributed computing. The MSc programme also improves leadership as well as analytical, cross-cultural and organizational skills. Upon graduation participants will have acquired the knowledge and skills needed for a future successful career in top positions in international engineering and research companies.


Key advantages

1. Graduated students have a chance to get an interesting and well-paid job at research institutes, centres and labs. They can also work in R+D and engineering departments in the oil and gas, au-tomotive, power and engineering or aerospace industries, among others.

2. Balanced combination of theoretical courses in mechanics and mathematics with practical exercis-es, workshops and IT training sessions, simulations and distributed computing.

3. Unique opportunities for international mobility. Possible semester abroad at one of the SPbSPU’s academic partners. Double degree options with European universities.

4. The programme offers a unique opportunity for Russian and foreign students to study together and to participate together in SPbSPU’s academic and extracurricular activities.

5. Support of students individual research project and technical ideas

Programme structure

Duration and format

Training period of 2 years. part-time, contract basis. Double degree program with the Leibniz Universitat Hanover. Are possible short-term (2 months) in travel for students and TUHH LUH, long-term (6 months. - 1 year) - in the LUT

Programme content

Compulsory courses, elective courses, MSc thesis. Compulsory lecture courses and a Master's theses are included into the syllabus of a student. The students have to choose one of the elective courses presented in groups А, В, C, D, E or F from the list below to get 120 ECTS to complete the programme.


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1 semester (30 credits)



2 semester (30 credits)


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3 semester (30 credits)


4 semester (30 credits)



Scientific and Research work

The scientific work includes two research areas: "Mechanics of Discrete Media" and "Mechanics of Continuum Media".

The research in the area of "Mechanics of Discrete Media" proceeds in a common laboratory of the Department "Theoretical Mechanics" and Institute of Problems of Mechanical Engineering Russian Academy of Science. Scientists of the "Discrete Models of Mechanics" laboratory work with different fundamental modern problems of mechanics: formulation of fundamental laws of mechanics discrete media, development of laws interparticle interactions, defining properties of discrete media at different scale levels, establishing the relationship between parameters and properties of discrete media. Analytical and computer methods allow to describe thermomechanical properties of crystallines, amorphous and nanostructured materials and shock wave processes in solids; dynamics of granular media; destruction and structural phase transitions, chemical processes; astrophysical processes; sociological processes; biological evolutionary processes, etc.

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The research in the direction of "Mechanics of Continuum Media" is connected with a construction of new models of continuum media for a description of various physical processes and phenomenons. Analytical and computer models by the department staff describe a thermal conductivity, internal friction, electromagnetic phenomena, interaction of electromagnetic fields with matter, phase transformations, chemical reactions, destruction, deformation of thin-walled structures and nano-objects. In particular, researches describe new models of particles with a complex structure and internal degrees of freedom; as well as thermomechanical processes based on models of thermal conductivity and thermoelasticity hyperbolic; develop fundamentals and methods of experimental mechanics of thins, model building solid-state transitions and transitions from liquid to gas; describe of the influence of the form of the stress- strain state and material parameters on the kinetics of formation of a new phase, the develop of interfaces and fronts of chemical reactions in deformable materials.

Also the Department conducts applied investigations for leading russian research organizations, for example, an ensuring the reliability of nuclear power plants; inertial navigation and a sports biomechanics, modeling of oil and gas production, modeling of coke formation in the path of liquid rocket engines, thermal, electrical and strength analysis of aluminum electrolytic cells, development of methodologies for calculating thin-walled structures, dynamics of rapidly systems, high-speed shooting of phenomena and processes, etc.

Teaching methods

World famous professors are invited to give the short and long-time courses. Individual training plan based on scientific interests of the student – a choice of a case study, working in cross-cultural teams, experts workshops, visits on enterprises and internships at scientific centers in St. Petersburg. Special recourses of the SPbSPU supercomputing center a digital fabrication laboratory FabLabSPbSPU will be open for stu-dents. Every student enrolled in MSc Advanced Dynamics of Discrete and continuum System is offered to study semester abroad on European universities.

Program Staff

Prof. Anton M. Krivtsov, Doctor of Physical and Mathematical Sciences, Head of the Department "Theoretical Mechanics"

Prof. Dmitry A. Indeitsev, Director of the Institute for Problems of Mechanical Engineering Russian Academy of Science

Prof. Elena A. Ivanova

Prof. Alexey V. Porubov

Prof. Alexander M. Linkov.

Dr. Elena N. Vilchevskaya

Dr. Olga S. Loboda,

Dr. Vitaly A. Kuzkin,

Dr. Igor E. Berinskii

Dr. Ekaterina A. Podolskaya

Artem Yu. Panchenko

Alexander A. Le-Zakharov

Prof. Udo Nakenhorst

Dr. Wenzhe Shan,

Prof. Sergei Antonyuk

Prof. Matti Alatalo

Prof. Gennady Mishuris


Laboratories and equipment

1. Laboratory of the Department "Theoretical Mechanics": supercomputers, 3D-model of the crystal structures, models of machines and mechanisms

2. FabLabPolytech: milling machines for metal cutting machine for wood, 3D-printers, laser cutter and engraver, cutting plotter, laser machine, bending machine, bandsaw

3. Studio "Photomechanics": equipment for high-speed video and photomicrography, photographic equipment.

Ph.D. degree programs

The following graduate courses are offered at Department "Theoretical Mechanics":

  • Theoretical Mechanics (01.02.01);
  • Mechanics of Deformable Solids (01.02.04);
  • Mathematical modeling, numerical methods and software complexes (05.13.18).

The possible research topics are listed here.

To sign up for an interview, write us on info at teormeh.net

Key facts

Admission requirements: candidates are required to hold a Bachelor, Specialist or Master degree in related subject area, all applicants must demonstrate English language proficiency at B+ level.

Admission tests: examination in the field of mechanics and interview in English language with programme coordinator (option - via Skype).

Admission procedure: written on-line application. Application deadline – July, 15.

Semester and date begin: winter semester – 1st of September

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Length of programme: 2 years

Degrees awarded: master of science (MSc)

Tuition fees: tuition fees for Russian students - 270 000 RUR for 1 year.

Contact details

St. Petersburg State Polytechnical University

Dr. Igor Berinskii, Programme Coordinator

Polytechnicheskaya, 29, University building, 195251 St. Petersburg

Telephone: +7 951 678 95 59

E-mail: iberinsk@gmail.com


TAGS: Master Mechanics. Master Engineering. Master Russia. MS program