Engineering

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ECMM107 - Mechanics of Materials (2015)

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MODULE TITLEMechanics of Materials CREDIT VALUE15
MODULE CODEECMM107 MODULE CONVENERProf Christopher Smith (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 0 11 weeks 0
Number of Students Taking Module (anticipated) 28
DESCRIPTION - summary of the module content

In this module you will learn about the fundamental theories governing elasticity and fracture in solids, and the methods engineers use to measure these properties in real world problems. An example might be where components have bolt holes, which can magnify stress locally to levels well above global stresses. This module will give you the knowledge and skills to calculate what these stresses are, measure them on site, and design components, using computational modelling, to avoid such issues in the first place. This will help prepare you for similar complex problems in professional practice, often involving computational modelling.

AIMS - intentions of the module

This module introduces you to more advanced aspects of theory of elasticity, as applied to solid mechanics. This provides a solid basis for the study of Solid Mechanics, Computational Engineering and Materials. Furthermore, the module introduces and develops experimental stress analysis, techniques for global and localised strain and stress measurement, and data analysis. Finally, it applies these to study of fracture and failure behaviour of materials and in the application of analytical techniques to problems of fracture mechanics.

 

This module covers Specific Learning Outcomes in Engineering, which apply to accredited programmes at Bachelors/MEng/Masters level. These contribute to the  educational requirements for CEng registration (as defined under the UK Standard for Professional Engineering Competence – UK-SPEC).



This module correlates to references P3, Mu1 - MU3, ME1, MD1, MP1, MP2, GM1, GM2 and GM4. These references are indices of the specific learning outcomes expected of Bachelors/MEng/Masters candidates set out in UK-SPEC, codified with reference to systems used by professional accrediting institutions. A full list of the standards can be found on the Engineering Council's website, at http://www.engc.org.uk

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

On successful completion of this module, you should be able to:

 

Module Specific Skills and Knowledge:
1 understand the physical concepts of stress and strain in tensorial form, demonstrate familiarity with the stress and strain patterns for certain canonical stress problems, derive principle stresses and strains for 2D and 3D elasticity problems;
2 comprehend and apply the mathematical techniques, (eg. Stress Functions) used to derive analytical solutions for these cases;
3 show familiarity with the range of experimental stress analysis techniques, their fundamental principles, application and limitations, select techniques appropriately, critically evaluate experimental data in the light of theoretical analysis and apply this to component design;
4 appreciate the fundamentals theory of linear elastic fracture mechanics and its application in real life problems.
Discipline Specific Skills and Knowledge:
5 apply mathematical theory to experimental data and critically evaluate both this data and theoretical limitations;
6 display enhanced skills in determining appropriate theoretical and experimental techniques for problems;
7 demonstrate improved ability to use computational methods to model engineering problems.
Personal and Key Transferable/ Employment Skills and  Knowledge:
8 reveal a high level of proficiency in analysing information;
9 exemplify excellent organisational and time management skills, and the ability to learn independently, through planning your own work;
10 prove strong communication skills, through presenting your work orally and in writing.

SYLLABUS PLAN - summary of the structure and academic content of the module

- mathematical concepts of stress and strain; 

- stress vector/tensor;

- Hooke's Law;

- 2nd rank tensors: representation, mathematical theory, notations;

- plane stress and plane strain;

- 2D Cartesian problems;

- force balance equations for stress, boundary conditions, compatibility;

- airy stress function;

- simple solution;

- 2D problems in polar co-ordinates;

- solution via analytical and numerical techniques;

- evaluation of strain from stress solution;

- plane strain, governing equations in 2D, including body forces;

- strain measurement basics;

- physical methods and limitations;

- electrical resistance strain gauges: fundamental theory, application, data acquisition and data analysis;

- ceramic and other strain gauges;

- principles and theory, applications and limitations;

- optical methods incl. photostress, frozen stress, Moire interferometry; 

- correlation methods: theory, demonstration; 

- yield and strength failure criteria; 

- ductile materials, Tresca, von Mises; 

- brittle materials; 

- inelastic deformation;

- plasticity;

- non hardening multi-axial plasticity;

- stress concentration factors;

- linear elastic fracture mechanics.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 28.00 Guided Independent Study 122.00 Placement / Study Abroad
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning and teaching activities 22 Lectures
Scheduled learning and teaching activities 6 Laboratory sessions
Guided independent study 122 Guided independent study

 

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Not applicable      
       
       
       
       

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 30 Written Exams 70 Practical Exams
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Written exam – closed book 70 2 hours All Exam mark
Coursework – worksheet 10 5 pages All Written
Coursework – laboratory report 10 5 pages All Written
Coursework – problem sheet 10 5 pages All Written
         

 

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-reassessment
All above Written exam (100%) All August Ref/Def period
       
       

 

RE-ASSESSMENT NOTES

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.

If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 50% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

ELE – http://vle.exeter.ac.uk

Reading list for this module:

Type Author Title Edition Publisher Year ISBN Search
Set Knott J F Worked Examples in Fracture Mechanics 2nd J F Knott 1993 000-0-300-35640-3 [Library]
Set Dally J W and Riley W F Experimental Stress Analysis McGraw-Hill 1991 000-0-070-15218-7 [Library]
Set Chou, Pei Chi and Pagano, Nicholas J Elasticity: tensor, dyadic and engineering approaches Dover 1992 000-0-486-66958-0 [Library]
Set Timoshenko; Stephen P. and Goodier; J.N. Theory of Elasticity 3rd New York McGraw-Hill 1970 0070858055 [Library]
CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
NQF LEVEL (FHEQ) M (NQF level 7) AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Friday 09 January 2015 LAST REVISION DATE Wednesday 25 November 2015
KEY WORDS SEARCH Linear elastic fracture mechanics; yield; plasticity; theory of elasticity.