Course image PX911:Multiscale Modelling Methods & Applications I
2019/20
Multiscale Modelling Methods & Applications I: Core Module for the HetSys CDT.
Course image PX912:Multiscale Modelling Methods & Applications II
2019/20
Course image PX913:Introduction to Scientific Software Development
2019/20
Course image PX914:Predictive Modelling and Uncertainty Quantification
2019/20
Course image PX915:Modelling of Heterogeneous Systems Group Project and Peer-to-peer Project Evaluation
2019/20
Course image PX918:Electronic structure theory for experiments and models
2019/20
Course image PX920:Micromechanics of Materials
2019/20
PX920: Homogenisation of Non-linear Heterogeneous Solids
Short description
The module aims to provide students with understanding and practical aspects of homogenisation methods for predicting overall macroscopic response of heterogeneous solids through lectures and workshop activities.
Learning objectives:
- Understand the concept of the effective behaviour of heterogeneous materials
- Understand the concept of homogenisation
- Implement homogenisation process into finite-element solution
- Apply homogenisation to analyse simple heterogeneous solids
Syllabus:
- Effective behaviour of heterogeneous solids (week 1): introduction; implementation of bounds into a finite-element procedure
- Mathematical asymptotic homogenisation (weeks 2-3): theory
- Asymptotic homogenisation (week 4): computer implementation
- Mini-Project (week 5)
Illustrative Bibliography:
J. Fish: Practical multiscaling, Wiley (available from the Library).
S. Torquato: Random heterogeneous materials, Springer (available from the Library).
Course image PX922:Approximation Theory for PDEs and Machine Learning
2019/20