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Details of Grant 

EPSRC Reference: GR/S20406/01
Title: Derivation of Constitutive Equations for Crystal Plasticity from the Dynamics of Discrete Dislocation Systems
Principal Investigator: Zaiser, Professor M
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Pacific Northwest National Laboratory
Department: Sch of Engineering
Organisation: University of Edinburgh
Scheme: First Grant Scheme Pre-FEC
Starts: 01 July 2003 Ends: 30 June 2006 Value (£): 121,262
EPSRC Research Topic Classifications:
Materials Characterisation
EPSRC Industrial Sector Classifications:
Aerospace, Defence and Marine Manufacturing
Related Grants:
Panel History:  
Summary on Grant Application Form
The plastic deformation of crystalline solids is due to the motion of dislocations, and it is a major goal of a physical theory of plasticity to derive constitutive equations for plastic flow on the continuum scale from the underlying dynamics of dislocation lines. This is indispensable for understanding size effects in deformation on microscopic and nanoscopic scales as well as the microstructure dependence of deformation properties of bulk material: With increasing computer power it has become possible to study the collective behavior of large systems of interacting dislocation lines, but it is still no clear how the information extracted from such simulations can be fed into a continuum description of crystal plasticity. The proposed research aims at developing techniques for deriving continuum constitutive equations from statistically averageing the discrete dislocation dynamics. To this end, a discrete simulation code will be developed and integrated with a mesoscale continuum description of dislocation dynamics. This will be applied for characterizing dislocation ensemble evolution and plastic flow in bulk materials of different microstructure subject to severe plastic deformations. It will also yield a tool that can be applied for simulating and understanding deformation properties of small systems, and interpreting the results of micro-anc nanomechanical tests.
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