Monday, June 1

IM2
Crack Problems

3:45 PM-5:45 PM
Room 246

Problems involving the interaction of waves with cracks are technologically important, especially in the field of nondestructive evaluation. Such problems are also mathematically challenging. An idealized crack is a scatterer of zero volume: it can be modeled as a smooth open surface across which the elastic displacement vector is discontinuous. Moreover, the stresses in the surrounding solid are singular at the edge of the crack. The speakers in this minisymposium will describe recent work on a variety of crack problems with emphasis on the use of appropriate integral equations.

Organizer: Paul A. Martin
University of Manchester, United Kingdom

3:45 Diffraction by Non-Planar Cracks

Paul A. Martin, Organizer

4:15 Wave Scattering by Cracks Beneath Fluid-Solid Interfaces

Richard V. Craster, University of Nottingham, United Kingdom

4:45 Inverse Scattering Problems for Plane Cracks

T. Ha-Duong, Universite de Technologie de Compiegne, France

5:15 Asymptotic Analysis of a Crack-Defect Interaction: Analytical Technique

A. B. Movchan, University of Bath, United Kingdom

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