COURSE SYLLABUS

Continuum Mechanics 7.5 credits

Kontinuumsmekanik
First cycle, F0030T
Version
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

 Education level First cycle Grade scale G U 3 4 5 Subject Engineering Mechanics Subject group (SCB) Engineering Physics Main field of study Engineering Physics and Electrical Engineering

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and M0029M Calculus,M0030M Linear Algebra and Calculus, M0031M Linear Algebra and Differential Equations. Vector calculus from M0032M Functions of Several Variables and Computer Tools , Mechanics from F0004T Physics 1 and F0006T Physics 3 or equivalent.

Selection

The selection is based on 1-165 credits.

Course Aim
After completing the course, the student should be able to

1.       Knowledge and understanding

• describe basic physical concepts in continuum mechanics
• account for derivations of e.g. continuity and momentum equations as well as constitutive relationships

2.       Competence and skills

• use basic theoretical methods for analysis in solid and fluid mechanics
• apply these methods to technically important cases such as bending of beams and pipe flow
• carry out measurements with the aim of 1) investigating the relationship between strain and tension with the aid of strain sensors; 2) connect phenomena in pipe flow to measurable quantities such as pressure drop and flow

3.       Judgment and approach

• identify relevant phenomena, boundary conditions, methods and limitations for calculations in continuum mechanics and, based on given conditions, evaluate and interpret the result.

The purpose of the learning objectives is to prepare the student with basic theoretical knowledge for future studies and work linked to analytical methods, numerical methods (eg FEM and CFD) and experimental analysis in solid and fluid mechanics.

Contents
The course deals with basic principles in continuum mechanics. The course mainly consists of three parts;

General part (integrated in solid- and fluid mechanics): Vectors and tensors.

Solid mechanics: Tension. Kinematics; deformation, strain. Constitutive relationships. Applied problems.

Fluid mechanics: Statics. Kinematics; material derivatives, continuity, Bernoulli's equation, Navier -Stokes equations. Control volume formulation of momentum laws. Applied problems.

Realization
Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
The teaching takes place in the form of lectures, lessons and laboratory experiments. The lectures highlight and explain important elements in the course. Lessons include some theory and exercises to complement the lecture elements. The laboratory work aims to put the theory in a context and to introduce the student to relevant experimental methods.

Examination
If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.
The learning objectives are examined through a written individual exam (U, 3, 4, 5) and laboratory work (U / G) with compulsory attendance. All included examination parts must be completed for the student to attain a final grade on the course.

Remarks
This course cannot be part of the degree together with other basic courses in Solid Mechanics or Fluid Mechanics for example M0011T Strength of Materials and Solid Mechanics or F0031T Hydromechanics.

Examiner
Anna-Lena Ljung

Transition terms
The course F0030T is equal to MTM113

Literature. Valid from Autumn 2017 Sp 1 (May change until 10 weeks before course start)
Finnström M: Kompendium Kontinuumsmekanik, LTU
Finnström M: Exempelsamling Kontinuumsmekanik, LTU
Formelsamling Kontinuumsmekanik , LTU Laborationshandledning Kontinuumsmekanik, LTU

The course material will be available in the course Canvasroom.

Course offered by
Department of Engineering Sciences and Mathematics

Modules