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The Finite Element Method; advanced course, 6 credits
Finita elementmetoden, fortsättningskurs, 6 hp
TMHL62
Main field of study
Mechanical EngineeringCourse level
Second cycleCourse type
Programme courseExaminer
Bo TorstenfeltDirector of studies or equivalent
Peter SchmidtEducation components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Available for exchange students
YesECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6CMMM | Mechanical Engineering, M Sc in Engineering | 8 (Spring 2017) | 1 | 4 | English | Linköping, Valla | E |
| 6CMMM | Mechanical Engineering, M Sc in Engineering (Engineering Mechanics) | 8 (Spring 2017) | 1 | 4 | English | Linköping, Valla | E |
| 6MMEC | Mechanical Engineering, Master's programme | 2 (Spring 2017) | 1 | 4 | English | Linköping, Valla | E |
Main field of study
Mechanical EngineeringCourse level
Second cycleAdvancement level
A1XCourse offered for
- Mechanical Engineering, M Sc in Engineering
- Mechanical Engineering, Master's programme
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Solid Mechanics, Finite elements, Continuum Mechanics, FortranIntended learning outcomes
The purpose of the course is to provide extensive, in-depth knowledge of the Finite Element Method (FEM). The essential goal is to give the student the understanding of the applicability, implementation, use and limitations of the method so that it can be used critically and in such a manner that the numerical behavior in the method can be explained using a well substantiated theory formulation.
Course content
Finite-element formulation of second- and fourth-degree one dimensional boundary-value problems by means of weak formulation and a Galerkin approximation. Manual calculation of bar and beam problems using the above formulation. FEM formulation of second-degree multidimensional boundary-value problems applied to linear elasticity. Isoparametric formulation. Stress calculations. Numerical and computer aspects. Assembly, storage and solution of rigidity equations. Patch tests and Conditioning numbers. Support reactions, Substructure techniques, prescribed displacements and transformations. Adaptivity. Contact problems, Linear stability, Geometric non-linearity, Newton‚s method.
Teaching and working methods
Teaching is in the form of lectures, classes and laboratory exercises.
Examination
| UPG1 | Exercises | 1.5 credits | U, G |
| TEN1 | Written examination | 4.5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Institutionen för ekonomisk och industriell utvecklingDirector of Studies or equivalent
Peter SchmidtExaminer
Bo TorstenfeltCourse website and other links
http://www.solid.iei.liu.se/Education/Education components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Course literature
Cook R. D.: Concepts and applications of Finite Element Analysis, (4:ed), Wiley, 2001.| Code | Name | Scope | Grading scale |
|---|---|---|---|
| UPG1 | Exercises | 1.5 credits | U, G |
| TEN1 | Written examination | 4.5 credits | U, 3, 4, 5 |
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
Course literature is preliminary.
Cook R. D.: Concepts and applications of Finite Element Analysis, (4:ed), Wiley, 2001.
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
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X
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X
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| 1.2 Fundamental engineering knowledge (G1X level) |
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X
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X
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| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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X
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X
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| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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| 1.5 Insight into current research and development work |
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| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
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X
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X
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| 2.2 Experimentation, investigation, and knowledge discovery |
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| 2.3 System thinking |
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| 2.4 Attitudes, thought, and learning |
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X
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| 2.5 Ethics, equity, and other responsibilities |
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X
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X
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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| 3.2 Communications |
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| 3.3 Communication in foreign languages |
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| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
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| 4.4 Designing |
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| 4.5 Implementing |
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| 4.6 Operating |
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| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
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| 5.2 Economic conditions for knowledge development |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
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| 5.4 Execution of research or development projects |
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| 5.5 Presentation and evaluation of research or development projects |
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