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MEng Materials Science and Engineering with Nanomaterials / Course details
Year of entry: 2023
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Course unit details:
Mechanics of Materials
|Unit level||Level 5|
|Teaching period(s)||Semester 1|
|Offered by||Department of Materials|
|Available as a free choice unit?||No|
The unit provides a development of knowledge on the mechanical behaviour of materials acquired during the first year of the course and extends it to deformations in 2- and 3-Dimensions. It also extends the simple introduction to fracture, covered in the first year, to a more formal fracture mechanics approach. The course also provides an introduction to macroscopic plasticity, hardness, friction and wear.
The unit aims to:
- Introduce the representation of stress and strain as 2nd rank tensors and their relation via the compliance and stiffness tensors.
- Explain the methods used to measure strain in a body and how these are used in practical engineering situations.
- Introduce the concepts of a stress distribution and a stress concentration. Explain how stress distributions lead to a resistance to twisting and bending and how the shape of a material influences this resistance.
- Introduce the concept of fracture mechanics, fracture resistance and critical stress intensity.
- Introduce simple statistical concepts for the prediction of failure in brittle materials.
- Introduce the mechanisms for fatigue failure in terms of crack initiation and crack growth.
- Introduce simple descriptions of macroscopic plastic deformation, hardness, friction and wear.
A greater depth of the learning outcomes are covered in the following sections:
- Knowledge and understanding
- Intellectual skills
- Practical skills
- Transferable skills and personal qualities
Teaching and learning methods
Lectures, group tutorials (problem sessions), recommended textbooks, web resources, self- teaching worked examples, past exam papers, electronic supporting information (Blackboard).
Knowledge and understanding
- Define stress and strain in 3-dimensions and represent them in the form of a tensor in Cartesian and cylindrical co-ordinates. Understand how to manipulate these tensors to represent a state of stress or strain in different spatial orientations of the axes.
- Determine the principal stresses and strains of a tensor and their invariant values.
- Identify the relationship of the shape and composition of a beam and rod control their resistance to bending and twisting.
- Explain the concept of a stress distribution and a stress concentration.
- Explain the relation between the Griffiths model of fracture and that proposed by Irwin and Orowan.
- Demonstrate an understanding of the mechanisms that dissipate energy during fracture and now these can lead to size effects in the measurement of fracture toughness.
- Demonstrate an understanding of the need to use statistical methods for the description of the strength of highly brittle materials.
- Construct the description of fatigue based on descriptive simple models for fatigue life prediction.
- Predict macroscopic plasticity and be able to relate materials hardness and flow strength.
- Demonstrate an understanding of simple models for friction and wear.
- Show improved logical reasoning, problem solving and ability in applied mathematics.
- Show an improved understanding and spatial awareness through solving problems in 2- and 3-dimensions.
- Perform simple matrix manipulation and calculations.
- Quantify the stress intensity factor from measurements made from fracture mechanics specimens.
- Use photoelastic effect to understand stress concentrations in real materials
Transferable skills and personal qualities
- Convert problems described using text into equations to provide numerical answers.
- Use spreadsheets to analyse data
- Work effectively in a group to solve problems.
- Compose simple technical reports on laboratory tests.
|Written assignment (inc essay)||30%|
Written and verbal
- Mechanical Metallurgy: G Dieter, 3rd edition or later
- Deformation and Fracture Mechanics of Engineering Materials: R W Hertzberg, 5th edition or later
- Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue: N E Dowling, 3rd edition or later
- Continuum Mechanics by George E. Mase
|Scheduled activity hours|
|Independent study hours|
|Timothy Burnett||Unit coordinator|