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Details of Grant 

EPSRC Reference: GR/S31785/01
Title: Diffraction coefficients of a semi-infinite planar crack situation between two transversely0isotropic half-spaces
Principal Investigator: Fradkin, Professor L
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Engineering Systems
Organisation: London South Bank University
Scheme: Standard Research (Pre-FEC)
Starts: 20 May 2003 Ends: 19 August 2003 Value (£): 44,690
EPSRC Research Topic Classifications:
Continuum Mechanics Eng. Dynamics & Tribology
EPSRC Industrial Sector Classifications:
Energy No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The aim of this proposal is to lay foundations for a well-justified semi-analytical approach to calculating the diffraction coefficients of a semi-infinit sandwiched between two different solid half-spaces, at least one of which is transversely isotropic and another is either isotropic or transversely isotropic with a different axis of symmetry. The diffraction coefficients could be used in conjunction with standard codes based on the Geometric Theory of Diffraction to model the ultrasonic probing of cracks situated on the boundary of an austenitic weld or else inside, between two different transversely isotropic weld layers. They would be applicable in probing structures inside laminated composites as well. Austenitic welds are encountered in casings of nuclear, chemical and petro-chemical reactors and are widely used in transport and construction industries. Laminated composites have no less numerous applications in modern structures. Problems of this nature are usually addressed in the engineering commun using the standard numerical tools, such as finite difference or finite element schemes for direct solution of the underlying partial differential equa However, at the tip of the crack the solutions are known to display a singular behaviour and experience has shown that it is extremely difficult to approximate such solutions in a stable and accurate manner unless the answer is known - from experiments or canonical analytical solutions. Both proposed Visiting Fellows are eminent experts in the theory of diffraction who already collaborated with the SBU group on related problems.
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Organisation Website: http://www.lsbu.ac.uk