Module Credit:   10

Module Code:   ENG4073M

Teaching Period:   Semester 2

Module Occurrence:   A

Module Level:   FHEQ Level 7

Module Type:   Standard module

Provider:   Engineering

Related Department/Subject Area:   Engineering: Materials and Medical (not in use)

Principal Co-ordinator:   Dr J Sweeney

Prerequisite(s):   None

Corequisite(s):   None

Aims:
To extend knowledge of Solid Mechanics in the context of modern mathematical analysis. To develop understanding of stresses and strains while emphasising their parallels. To introduce large deformations and more general material behaviour.

Learning Teaching & Assessment Strategy:
The physical and mathematical basis of the subject is developed in lectures, supported by examples.

 Study Hours: Lectures: 24.00 Directed Study: 74.00 Seminars/Tutorials: 0.00 Other: 0.00 Laboratory/Practical: 0.00 Formal Exams: 2.00 Total:   100.00

On successful completion of this module you will be able to...

1.1 Appreciate the tensorial nature of stress and strain and how it relates to known mathematics, in the form of matrices, eigenvectors and eigenvalues.
1.2 Critically assess traditional treatments of stress and strain, and appreciate how they relate to the more advanced treatment.
1.3 Critically evaluate a range of material constitutive equations in terms of their utility in defining a rich variety of material behaviour.

On successful completion of this module you will be able to...

2.1 Analyse three-dimensional stress and strain fields
2.2 Use a range of established material models that can be applied to advanced materials and processes.

On successful completion of this module you will be able to...

N/A

 001. Assessment Type Duration Percentage Examination - closed book 2.00 100% Description Examination - closed book

Outline Syllabus:
Stress analysis: 3D equilibrium equations, the stress tensor, transformations and principal directions. Strain analysis: large deformations, deformation gradient tensors, rigid body rotations and principal directions. Analogies between stress and strain analysis. Constitutive relationships: linear, non-linear, strain energy functions, elastic-plastic behaviour and flow rules. Application of numerical techniques.

Version No:  1