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Department of Mathematics

Continuum Mechanics (L6) (G1158)

Continuum Mechanics (L6)

Module G1158

Module details for 2022/23.

15 credits

FHEQ Level 6

Module Outline

This module introduces the mathematical theory of continuum mechanics where, in contrast to classical mechanics, materials are modelled as a continuous mass rather than discrete particles. Students will gain an understanding, and working knowledge, of the Eulerian and Lagrangian coordinate systems, description of forces, and the laws describing the dynamics of continuous media: conservation of mass, and balance of linear and angular momentum. Selected topics in the mechanics of fluids and solids will also be covered, such as ideal and viscous fluids, and the theory of elasticity.

Module learning outcomes

Understand systematically the algebra and calculus of tensors, and perform algebraic and differential calculations involving tensors..

Understand systematically fundamental concepts in continuum mechanics including kinematics, the relation between the Eulerian and Lagrangian specifications, and the description of forces.

Use the laws of conservation of mass and the balance of linear and angular momenta to derive the equations governing continuum mechanics in the Eulerian and Lagrangian descriptions, and understand the modelling of internal constraints and frame indifference.

Apply the skills developed to derive standard models for simple fluids and elastic solids, and construct explicit solutions.

TypeTimingWeighting
Coursework20.00%
Coursework components. Weighted as shown below.
PortfolioT2 Week 11 40.00%
Problem SetT2 Week 4 15.00%
Problem SetT2 Week 6 15.00%
Problem SetT2 Week 9 15.00%
Problem SetT2 Week 11 15.00%
Unseen ExaminationSemester 2 Assessment80.00%
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

TermMethodDurationWeek pattern
Spring SemesterLecture2 hours11111111111
Spring SemesterLecture1 hour11111111111

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Gabriel Koch

Convenor, Assess convenor
/profiles/284961

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