Details of Grant 

EPSRC Reference:	GR/S99037/01
Title:	Mathematical Analysis of the Static and Dynamic Behaviour of Materials with Phase Transitions and Microstructures
Principal Investigator:	Zimmer, Professor J
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematical Sciences
Organisation:	University of Bath
Scheme:	Advanced Fellowship (Pre-FEC)
Starts:	01 October 2004	Ends:	30 September 2009	Value (£):	271,225
EPSRC Research Topic Classifications:	Algebra & Geometry Continuum Mechanics Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 22 Apr 2004 Mathematics Advanced Fellowships Interview panel Deferred 12 Mar 2004 Maths Fellowships Sifting Panel 2004 Deferred
Summary on Grant Application Form
1) Materials with multiple phases: investigation of traveling waves in lattice models (=atomistic / crystalline level). Derivation of selection criteria for ill-posed problems on the continuum scale based on the discrete models.2) Mathematical framework for the evolution of Young measures and applications to problems in engineering (damage, plasticity, possibly fracture).3) Derivation of energies with many parameters, as arising from ab initio calculations. 4) Relaxation of multi-phase energies.5) Dynamics with a variational principle: Gamma-convergence.
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Organisation Website:	http://www.bath.ac.uk