Universität Wien
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250103 VU Introduction to Mathematical Methods in Continuum Mechanics (2025S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work
Mo 03.03. 08:00-09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

    Classes (iCal) - next class is marked with N

    • Monday 10.03. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 17.03. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 24.03. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 31.03. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 07.04. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 28.04. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 05.05. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 12.05. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 19.05. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 26.05. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 02.06. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 16.06. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 23.06. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
    • Monday 30.06. 08:00 - 09:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

    Information

    Aims, contents and method of the course

    Continuum mechanics is a special branch of physics which deals with the mechanical properties of solids and fluids and their deformations and flows under forces. The underlying theory has a wide range of practical applications in industry and science.

    This course focuses on a mathematical framework for studying the behavior of solids and liquids at a macroscopic scale within the continuum concept of matter. As the starting point for modeling of materials, the foundational notions of deformation, motion, strain, force and stress are introduced. These are then followed by the derivation of the fundamental equations of equilibrium and motion. Combined together with constitutive laws, they yield relevant partial differential equations. In addition, one classical simplification of an elastic material law (linearized elasticity) is discussed and analyzed in the course. If time permits, mathematical models for fluid dynamics will also be covered in the lecture.

    Another part of the course consists of exercises (given as homework), illustrating the analytical methods, which are to be handed in by the students in written form. During the second half of the semester, a small programming project is planned (numerical solution of the equations of linear elasticity in python).

    Assessment and permitted materials

    Understanding the key concepts of continuum mechanics and underlying equations.

    Lecture attendance. At least 50% of solved exercises. Positively solved programming project.

    Either written or oral examination, depending on the number of course participants.

    Minimum requirements and assessment criteria

    Lecture attendance. At least 50% of solved exercises. Positively solved programming project.

    Examination topics

    Topics covered in the course.

    Reading list

    G. E. Mase Theory and Problems of Continuum Mechanics, in Series: Schaum’s Outline Series, 1970.
    P. G. Ciarlet Mathematical elasticity, Volume I: Three-dimensional elasticity, in Studies in Series: mathematics and its applications, 1988.

    Association in the course directory

    MAMV;MANV

    Last modified: Fr 10.01.2025 00:02