Continuum Mechanics (L7) (972G1)
Continuum Mechanics (L7)
Module 972G1
Module details for 2023/24.
15 credits
FHEQ Level 7 (Masters)
Module Outline
The aim of the module is to introduce students to the mathematical theory of continuum mechanics where, in contrast to classical mechanics, materials are modelled as a continuum of particles, rather than point masses. Continuum mechanics is an extremely useful theory and underpins the modelling of all physical phenomena that occur at length-scales much larger than interatomic distances and much smaller than astronomical distances. Indeed, to name of few examples, models for materials, building structures, earthquakes, tsunamis, weather fronts, and even supernovae – the explosion of massive stars – all use continuum mechanics, allowing us to build resistant structures, forecast weather or predict climate change among others.
In this module, students will learn the fundamental modelling assumptions in continuum mechanics and how to derive mathematical models – in the form of partial differential equations – describing the motion of continuum media. As an application, a selection of standard models will be studied, leading to the famous Euler and Navier-Stokes equations for fluids, and the theory of elastic solids.
Module learning outcomes
Consolidate their knowledge of tensor algebra and tensor calculus, and perform complex algebraic and differential calculations involving tensors.
Comprehensively understand 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 comprehensively understand the modelling of internal constraints and frame indifference.
Apply the skills developed to derive standard models for simple fluids and elastic solids, extend to more complex models, and construct explicit solutions.
| Type | Timing | Weighting |
|---|---|---|
| Unseen Examination | Semester 2 Assessment | 80.00% |
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T2 Week 4 | 15.00% |
| Problem Set | T2 Week 6 | 15.00% |
| Problem Set | T2 Week 9 | 15.00% |
| Problem Set | T2 Week 11 | 15.00% |
| Portfolio | T2 Week 11 | 40.00% |
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.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Semester | Lecture | 2 hours | 11111111111 |
| Spring Semester | Lecture | 1 hour | 11111111111 |
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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