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Details of Grant 

EPSRC Reference: EP/V00204X/1
Title: Mathematical theory of polycrystalline materials
Principal Investigator: Ball, Professor Sir J
Other Investigators:
Bourne, Dr D Scardia, Dr L
Researcher Co-Investigators:
Project Partners:
Department: S of Mathematical and Computer Sciences
Organisation: Heriot-Watt University
Scheme: Standard Research
Starts: 01 October 2020 Ends: 30 September 2024 Value (£): 576,848
EPSRC Research Topic Classifications:
Continuum Mechanics Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
31 Aug 2020 EPSRC Mathematical Sciences Prioritisation Panel September 2020 Announced
Summary on Grant Application Form
Metal and alloys typically form as polycrystals, consisting of different single crystal grains, each grain corresponding to a different orientation of the underlying atomic lattice. Under thermal treatment or applied forces alloys develop microstructure within each grain due to phase transformations involving a change of shape of the lattice, and to dislocations (defects in the lattice structure), this microstructure having to fit together geometrically both within each grain and across grain boundaries. The geometry of the grains, the orientation of the crystal lattice in each grain, and the microstructure within each grain, are all crucial for determining the macroscopic behaviour of the material.

The aim of the proposal is to analyze the behaviour of polycrystals using rigorous mathematical theory, covering all the aspects described above, and to apply the results to different metals and alloys, in particular to the development of new high-performance steels in collaboration with Tata Steel.
Key Findings
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Summary
Date Materialised
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Project URL:  
Further Information:  
Organisation Website: http://www.hw.ac.uk