| TMHL41 |
Continuum Mechanics, 6 ECTS credits.
/Kontinuumsmekanik/
For:
AER
M
MEC
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Prel. scheduled
hours: 46
Rec. self-study hours: 114
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Area of Education: Technology
Main field of studies: Mechanical Engineering
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Advancement level
(G1, G2, A): A
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Aim:
The aim of the course is to give the student a basic understanding of the relations which are needed to analyse a continous media subjected to finite deformations. After the course the student should be able to
- define motion, velocity and acceleration using spatial and material descriptions,
- define and justify important strain and stress measures for finite deformations,
- state the conservation laws for mass, momentum and energy and from these derive the equations of continuity and motion, and the first law of thermodynamics, respectively,
- define the properties of isotropic and anisotropic linear elastic materials, and
- define a hyperelastic material.
The course is fundamental for further studies in Solid Mechanics and in Fluid Mechanics.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Linear algebra, mathematical analysis, basic mechanics.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
The finite element method, advanced course, Advanced course i material mechanics, Project course in Solid Mechanics
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Organisation:
Lectures, training classes and one project task.
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Course contents:
- Mathematical fundamentals
- Stress analysis
- Displacement and strain
- Motion
- Fundamental laws (conservation laws)
- Linear elasticity
- Energy and variational principles
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Course literature:
T. Maze and G. Maze: Continuum mechanics for engineers, 2nd edition, CRC Press, Boca Raton 1999 alternatively
A.J.M. Spencer: Continuum mechanics, Dover Publications, New York, 2004
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Examination: |
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Written examination
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6 ECTS
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A passed voluntary project work gives 2p, which can be included in the written examine result. |
Course language is Swedish/English.
Department offering the course: IEI.
Director of Studies: Peter Schmidt
Examiner: Kjell Simonsson
Link to the course homepage at the department
Course Syllabus in Swedish
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