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Details of Grant 

EPSRC Reference: GR/N21796/01
Title: THERMOELASTICITY OF HEAT CONDUCTING SOLIDS SUBJECT TO LARGE TEMPERATURE VARIATIONS
Principal Investigator: Ogden, Professor RW
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: School of Mathematics & Statistics
Organisation: University of Glasgow
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 2000 Ends: 30 September 2003 Value (£): 14,075
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
Manufacturing No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
This project is concerned with constitutive laws for thermoelastic solids with emphasis on the analysis of finite deformation problems in which there are temperature gradients and, in particular, large temperature differences. This requires assessment of the suitability of laws of heat conduction currently available and the development of new laws. The range of validity of the constraint of mechanical incompressibility in the context of large temperature changes will also be examined in detail. The theory will be applied to a number of prototype boundary-value problems in order to test the applicability of the laws of heat conduction with respect to experimental data available in the literature. This analysis will be carried out with and without the constraint of mechanical incompressibility. Closed-form solutions will be sought for certain simple geometries and numerical methods will be used where such solutions are not forthcoming. It is intended that the work will lead to an improved understanding of the interaction between large deformation and heat conduction in elastic solids.
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Organisation Website: http://www.gla.ac.uk