Study-Unit Description

Study-Unit Description


CODE MEC4014

 
TITLE Applied Mechanics of Cracked Bodies

 
UM LEVEL 04 - Years 4, 5 in Modular UG or PG Cert Course

 
ECTS CREDITS 5

 
DEPARTMENT Mechanical Engineering

 
DESCRIPTION Engineering structures, under the action of externally applied loads behave differently depending on material characteristics and size. Consequently the structures behave in an elastic, elasto-plastic or plastic manner, hence undergoing various levels of deformation ranging form small to large scale. The structures may simply flow, flow and fracture or fail.

The introduction to the study unit describes the strength of materials of cracked bodies, describing in a qualitative manner the micro-mechanisms and fundamentals of cracks and cracked bodies. A qualitative and quantitative approach is taken to describe fracture propagation under elastic or combined flow and fracture conditions.

The elastic cracking is discussed in terms of strain energy, work-rate method and stress intensity factor method. Consideration is given to crack tip zones, crack sharpness and CTOD, as well as the response of highly deformable materials. Combined flow and fracture describes the elastic to elasto-plastic transitions, elasto-plastic topics for application to elastic fracture, fracture in the presence of plastic flow, J-integral techniques, possible crack paths, scale effects in structural components and geometry of geometrically similar linear structures and non-proportionally scaled models are discussed. The students will appreciate and be able to describe the variables effecting the different possible methods of deformation and fracture/cracking and identify the possible deformation transitions with size/scale effects.

Study-unit Aims:

The study-unit aims is to equip students with the knowledge and expertise to understand the concepts of engineering structures under load and the behaviour of the engineering structures under such loading conditions.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- describe and discuss the basic principles of the micromechanism of fracture;
- identify non/linear elastic behaviour and understand the principles of elastic cracking;
- identify the different methods in the mechanics of elastic cracking;
- describe the mechanics at the tip of the crack;
- discuss the mechanics of elastoplastic transitions;
- describe cracking in the presence of elastoplastic deformation and flow;
- describe possible crack paths depending upon the loads on the structure;
- recognise the scale effects in structural components & geometry;
- discuss the variables effecting the different possible methods of deformation and fracture/cracking;
- identify the deformation transitions.

2. Skills:

By the end of the study-unit the student will be able to:
- apply theory to different structural components under loading;
- perform valid experimental measurements;
- evaluate the important parameters for cracking bodies;
- summarise the relations between the elastic cracking parameter;
- solve the loading on components and analyse the subsequent cracking;
- explain the process of the mechanism of elastoplastic mechanics;
- examine the applied loading causing elastoplastic deformation/flow/cracking;
- perform calculations on scaled models.

Main Text/s and any supplementary readings:

- Elastic & Plastic Fracture - metal, polymers, ceramics, composites, biological materials - A.G. Atkins & Y.W. Mai – Ellis Horwod, 1985.
- Fracture Mechanics - Fundamentals & Application – T.L. Anderson – Taylor Francis, 2005.
- Fracture Mechanics - M. Janssen, J. Zuidema, R.J.H. Wanhill – Spon Press, 2009.
- Elementary Fracture Mechanics - D. Broek – Sijthoff& Noordhoff, 1978.
- Deformation & Fracture Mechanics of Engineering Material – R.W. Hertzberg – Wiley, 1989.
- Mechanical Behaviour of Materials - W.F. Hosford - Cambridge University Press, 2008.
- The Stress Analysis of Cracks Handbook – H. Tada, P.C. Paris, G.R. Irwin – ASME Press/Professional Engineering Publications.
- Non - Linear Fracture Mechanics - J.K. Hutchinson.
- Worked Examples in Fracture Mechanics - J.F. Knott, D. Elliot - The Institution of Metallurgists – 1979.

International Journals:

- Engineering Fracture Mechanics
- International Journal of Fracture
- International Journal of Mechanical Science
- Fatigue & Fracture of Engineering Materials & Structures

 
ADDITIONAL NOTES Pre-requisite Study-units: MEC1101, MEC1401

 
STUDY-UNIT TYPE Lecture, Independent Study and Project

 
METHOD OF ASSESSMENT
Assessment Component/s Assessment Due Sept. Asst Session Weighting
Examination (2 Hours) SEM1 Yes 40%
Assignment SEM1 Yes 60%

 
LECTURER/S

 

 
The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit