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Details of Grant 

EPSRC Reference: EP/G047162/1
Title: Modelling continuous and discrete defective crystals
Principal Investigator: Parry, Dr G
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematical Sciences
Organisation: University of Nottingham
Scheme: Standard Research
Starts: 01 December 2009 Ends: 30 November 2012 Value (£): 236,704
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
05 Mar 2009 Mathematics Prioritisation Panel Announced
Summary on Grant Application Form
The strength of crystalline materials is significantly affected by the existence and arrangement of defects within the material , and it has emerged recently that there is a theory wherein the arrangement of defects itself has a precise mathematical structure , to the extent that symmetry properties of this structure may be found explicitly . With this geometrical information at hand , one may consider the minimal constraints that should be imposed on mathematical models which describe the mechanics of defective materials . The purpose of the research is to specify the structures which support these arrangements of defects , catalogue their symmetries , and so produce appropriate mechanical models of defective materials . It is a fascinating benefit that the relevant mathematical apparatus need to carry out this programme is partly a re-expression of classical work in algebra , whose relevance to mechanics has been not been exploited , hitherto . The long term aim of the work is to predict strengths and weaknesses of defective materials based just on the underlying geometry , without recourse to the constitutive assumptions which are the starting point for existing theories of these materials .
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Organisation Website: http://www.nottingham.ac.uk