Continuum Mechanics: Fundamentals and Applications

Looking for opportunities to get profound knowledge in Continuum Mechanics? Join our program!

The Master's Degree Program Continuum Mechanics: Fundamentals and Applications is aimed to prepare masters, who are able to formulate and solve a wide range of problems arising in various fields of continuum mechanics – both of mechanics of solids and fluids, with focus on interdisciplinarity, in strong connection with engineering applications in hi-tech and advanced manufacturing technologies – in the spirit of the STEM Education concept aimed at obtaining 21st century skills in science, technology, engineering, and mathematics.

Being enrolled in MSc Program “Continuum mechanics: fundamentals and applications” means practically oriented learning, mentoring and scientific guidance from prominent professors of the Institute of Applied Mathematics and Mechanics of St. Petersburg Polytechnic University (Departments of Mechanics and Processes Control, Hydroaerodynamics, Applied Mathematics, Continuum Mechanics), recognized scientists from the Institute for Problems in Mechanical Engineering of Russian Academy of Science that is one of the leading research institutions in the field of mechanics of materials, and invited professors from top world universities: TU Berlin, TU Delft, École Polytechnique, University of Illinois at Chicago and etc.

Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications

Program profile. Major areas of expertise:

Fundamental Mechanics:
  • Mechanics and Thermodynamics of Continua
  • Theory of Elasticity
  • Theory of Plasticity
  • Fracture Mechanics
  • Мicromechanics of Strength and Plasticity
  • Micromechanics of Heterogeneous MediaResearch and Developments of Mechatronic Systems
  • Dynamics of thin-walled structures
  • Waves in ContinuaFluid Mechanics
  • Multiphase Flows
  • Turbulence Modeling
36 ECTS
Mathematical foundations: 
  • Tensor Calculus
  • Elements of Functional Analysis
  • Numerical methods for PDE’s and Fundamentals of Finite Elements
  • Advanced Topics in Probability, Stochastic Processes and Statistics
  • Parallel Algorithms for Scientific Applications
15 ECTS
Computational Solid and Fluid Mechanics 6 ECTS
Research and Modeling Seminar:

All students are given a problem-project to solve either individually or in minigroups, and the results are then discussed altogether

18 ECTS
Mechanics and Applied Mathematics in Sciences and Technologies:
blocks of lectures given by leading scientists from European and USA universities on various topics in mechanics and applied mathematics
15 ECTS
Master Thesis   30 ECTS
Total : 120 ECTS


Modules at course “Mechanics and Applied Mathematics in Sciences and Technologies”:

Universtity Professor Courses
Technical University of Berlin (Germany)
W. H. Müller
  • Rational Electrodynamics of Materials
  • Nonlinear deformation of solids in particular rubber
  • 3 ECTS
  • 3 ECTS
Ecole polytechnique
Eric Charkaluk
  • Fatigue and shakedown
  • Theoretical backgrounds and numerical implementation of thermoplasticity
  • 3 ECTS
  • 3 ECTS
University of Bremen
R. Kienzler
  • Plate Theories
  • Material Conservation and Balance Laws in Linear Elasticity with Applications
  • 3 ECTS
  • 3 ECTS
Delft University of Technology (the Netherlands)
W. T. van Horssen
  • Perturbation Methods for Nonlinear Continuous Dynamical Systems
3 ECTS
University of Illinois at Chicago
Alexander Chudnovsky
  • Experimental and Theoretical Fracture Mechanics
3 ECTS

Key Points

  • Deep learning of basic subjects of continuum mechanics supplemented by development of mathematical background.
  • Interdisciplinarity, which is a current trend in mechanics, and the program topics include phase transformations, mechanochemistry, biological systems etc.
  • The graduates will obtain the skills and develop critical thinking which are necessary to do both fundamental and applied research, using theoretical and computational mechanics of solids, gas and fluids in one pack, and, thus, beneficial for prospective international career in research institutes, centers and laboratories or employment at R&D and engineering departments of oil and gas, car-making, power and engineering and etc.
  • Mentoring and scientific guidance from prominent professors of the Institute of Applied Mathematics and Mechanics of St. Petersburg Polytechnic University and recognized scientists from the Institute for Problems in Mechanical Engineering of Russian Academy of Science and invited professors from top world universities.
  • Broad international contacts, which we are eager to share with our students for their future career;
  • Cross-cultural studies and extracurricular activities at SPbPU.
  • Unique opportunities for international academic mobility: a semester abroad at one of SPbPU partner universities.
Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications

Program Partners

  • Technical University of Berlin (Germany)
  • Delft University of Technology (the Netherlands)
  • ParisTech (France) 
  • Ecole Polytechnique (France)
  • Aalto University (Finland)

Additional Benefits

  • Staying in the most beautiful city of Russia - Saint-Petersburg - will reward you with unforgettable experience!
Continuum Mechanics: Fundamentals and Applications
Continuum Mechanics: Fundamentals and Applications

Duration: 2 years (4 semesters)

Duration of each semester: 16 weeks 

Program format: full-time studies

Training methods

  • lectures and seminars
  • exercises and practice associated with lectures
  • applied research project

Semester and beginning of studies: Fall semester - September, 01

Tuition fee per year:

  • for foreign students: 301 000 Rubles
  • for Russian students: 231 600 Rubles

Admission procedure

You are kindly required to fill in an on-line application. International applicants may find additional information concerning admission at SPbPU web-site.  

Continuum Mechanics: Fundamentals and Applications


Contact details

Peter the Great St. Petersburg Polytechnic University

Program Scientific Supervisor
Program Coordinator