Continuum Mechanics

5 credits

Syllabus, Master's level, 1TE676

A revised version of the syllabus is available.
Code
1TE676
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1N, Technology A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 30 August 2018
Responsible department
Department of Materials Science and Engineering

Entry requirements

120 credits within Science/Technology, including Mechanics II.

Learning outcomes

On completion of the course, the student should be able to:

  • apply the tensor formalism,
  • treat general stresses and deformations in continuous materials,
  • formulate and solve specific technical problems of displacement, strain and stress
  • perform experiments with stresses and deformations.
  • numerically model and analyse the stresses and deformations of simple geometries under an arbitrary load in both solids and liquids.

Content

Cartesian tensors. The linear elastic boundary value problem. Boundary conditions. Naviers equations. Plane waves.

General conservation laws for mass, momentum and angular momentum.

Deformation of a continuum continuum: Euler and Lagrange descriptions, displacement vector, strain tensor, principal strains, compatibility equations.

The state of stress in a continuum continuum: stress vector, stress tensor, principal stress, equations of motion.

Constitutive equations: isotropic and anisotropic linear elastic materials

Newtonian fluids: compressible and incompressible fluids, Navier-Stokes equations.

Instruction

Lectures, guest lectures, numerical tutorials as well as laborative work in a computer lab.

Assessment

Written report on assignments of theoretical, analytical and numerical (computer models) character (5 hp).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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