Course syllabus adopted 2022-02-09 by Head of Programme (or corresponding).
Overview
- Swedish nameKontinuummekanik
- CodeMMS260
- Credits6 Credits
- OwnerTKTFY
- Education cycleFirst-cycle
- Main field of studyEngineering Physics
- DepartmentMECHANICS AND MARITIME SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 57115
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0122 Written and oral assignments 1.5 c Grading: UG | 1.5 c | ||||||
| 0222 Examination 4.5 c Grading: TH | 4.5 c |
|
In programmes
Examiner
Henrik Ström- Professor, Fluid Dynamics, Mechanics and Maritime Sciences
Eligibility
General entry requirements for bachelor's level (first cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
Basic course in rigid body mechanics.
Aim
The course aims to provide the student with an introduction to and a broad base within continuum mechanics, i.e. the study of motion, forces and deformation in solid materials, liquids and gases described as continuous media.
Learning outcomes (after completion of the course the student should be able to)
- Understand, explain and use basic concepts and constructs within continuum mechanics (such as continuum, deformation, strain, rotation, stress, Eulerian and Lagrangian reference frames, material derivative)
- Derive, use and understand relevant differential relations within continuum mechanics (mass conservation, momentum balances and the first law of thermodynamics)
- Use the most common constitutive relations for idealized materials (linear elastic solid, Newtonian fluid and heat conduction according to Fourier's law) and be versed with their applicability
- Combine differential and constitutive relations to formulate and analyze simpler problems within elasticity (discs, cylinders), fluid mechanics (planar flow) and heat transfer
- Suggest approximate solutions via hand calculations for problems of engineering relevance within:
- mechanics of materials: sticks, shafts and beams (extension, compression, torsion, bending and shear) and instability phenomena
- fluid mechanics: control volume analysis and Bernoulli's equation (with and without losses)
- Show comprehension of certain central physical phenomena that are included in the continuum description but cannot be studied analytically (such as turbulence)
Content
The course begins with an overview and an exposition of fundamental concepts. Thereafter, continuum kinematics and the concept of shear are introduced in more detail. To this background, the various laws of mechanics for an idealized continuum are introduced on different form. The most common phenomenological constitutive relations are presented for different materials: elastic solids, Newtonian fluids and heat conduction. By combining the laws of mechanics with the constitutive relations, it is illustrated how problems in elasticity, fluid flow and heat transfer can be formulated and solved within continuum mechanics. Since more advanced problems presupposes numerical calculations to be studied efficiently, the remaining part of the course is dedicated to techniques for approximate hand calculations and discussion of central physical continuum phenomena of significant industrial relevance that cannot be studied analytically.Organisation
The teaching consists of lectures and tutorial sessions. Moreover, two practical laboratory sessions with associated tasks are carried out. These tasks are discussed in seminar form and their solutions are submitted in writing.Literature
J. N. Reddy, An introduction to Continuum Mechanics, Second Edition, Cambridge University Press, ISBN 978-1-107-02543-1.J. Brouzoulis & M. Ekh, Hållfasthetslära kurskompendie, PDF distributed via Canvas.
L. Davidson, "An Introduction to Turbulence Models", PDF distributed via Canvas.
Examination including compulsory elements
The course ends with a written exam that is graded and forms the basis for the final mark on the course. To pass the course, it is also required that the mandatory hand-in tasks from the laboratory seminars have been received and given a passed grade. These hand-ins are only graded as passed or not passed.The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers about disability study support.