In this module the dependence of microstructure in metals upon temperature and strain is explored numerically. Key techniques underpinning this are presented. Concepts from LC DSA, LC FMS, LI PMS and LI FFD are combined.
This links to the following topics from the 2017 QAA Materials Subject Benchmark Statement section 3.4:
iv mechanical behaviour - elastic and plastic deformation, creep and fatigue, fracture, strengthening, toughening and stiffening mechanisms;
vi structural characterisation - optical and electron microscopy techniques, electron and X-ray diffraction, scanning probe techniques, thermal analysis;viii mechanical test methods;vi computational simulation of materials across the length-scales and corresponding time-scales, from atomistic (classical and quantum) to finite elements;viii bulk processing, heat and mass transfer, and fluid mechanics.
Learning Outcomes
By the end of the module students should be able to:
Mathematically analyse and simulate simple processes;
Discuss the application of PDEs in simulating materials problems;
Use and implement numerical approaches to find the minima, maxima and solution(s) of functions;
Use and implement the finite difference approach to solve partial differential equations given a set of boundary conditions.
These relate to the AHEP v4 learning outcomes
Apply knowledge of mathematics, statistics, natural science and engineering principles to the solution of complex problems. Some of the knowledge will be at the forefront of the particular subject of study (C1)
Analyse complex problems to reach substantiated conclusions using first principles of mathematics, statistics, natural science and engineering principles (C2)
Select and apply appropriate computational and analytical techniques to model complex problems, recognising the limitations of the techniques employed (C3)
Select and apply appropriate materials, equipment, engineering technologies and processes, recognising their limitations (C13/M13)