Detailed module information

Module information on this degree can be found below, separated by year of study.

The module information below applies for the current academic year. The academic year runs from August to July; the 'current year' switches over at the end of July.

Students select optional courses subject to rules specified in the Mechanical Engineering Student Handbook,  for example at most three Design and Business courses. Please note that numbers are limited on some optional courses and selection criteria will apply.

Computational Continuum Mechanics B

Module aims

This module is designed to introduce the fundamentals of continuum mechanics that underpin the theoretical understanding of many engineering disciplines and to demonstrate how problems in continuum mechanics can be solved using numerical techniques. Particular attention is paid to the theory and implementation of the finite element method. The module provides the theoretical basis for level 7 modules on applications of finite element methods and finite volume methods. This is a level 7 variant of the level 6 Computational Continuum Mechanics module and students cannot take both for credit towards their final degree.

ECTS = 5
 

Learning outcomes

On completion of this module, students should be able to:

1. Use index notation to solve tensor algebra and calculus problems. 

2. Derive, explain and use the basic concepts of continua, including kinematics, kinetics, conservation and constitutive laws.

3. Solve simple solid and fluid problems using analytical methods, in terms of deformation, strain, stress, velocity and its gradient, using Lagrangian and Eulerian frameworks. 

4. Formulate the finite element method for a linear, elastic isotropic solid from the principle of virtual work and the finite element discretisation. 

5. Solve simple finite element problems using analytical methods, and outline more complex problems in a suitable form for numerical solution. 

6. Create, in an appropriate programming language, a simple one dimensional finite element method

Module syllabus

Index notation and tensor algebra
Deformation and flow
Force and stress
Fundamental laws of continuum mechanics
Constitutive relations
Introduction to the Finite Element method

Teaching methods

Students will be introduced to the main topics through lectures, supported by technology (PowerPoint, Panapto and Blackboard). Short activities (using interactive pedagogies) will occasionally be introduced in the classroom setting to reinforce learning, for example through pentameter and the like. You will be provided with problem solving sheets and should complete these as part of your independent study. Tutorials sessions will provide an opportunity for interaction with teaching staff where you can discuss specific problems. 

Assessments

Assessment details        
      Pass mark   
Grading method Numeric   50%
         
         
Assessments        
Assessment type Assessment description Weighting Pass mark Must pass?
Examination 3 Hour exam 80% 50% N
Coursework Coding of finite element method 20% 50% N

Reading list

Supplementary

Background

Module leaders

Professor Dan Balint