Monday, May 12

4:30 PM-6:10 PM
Peale C Room

Bounds for Composite Materials: New Methods and New Applications

Composites exhibit complicated microgeometries in many significant applications. Bounding the macroscopic behavior using minimal information is a crucial goal. The classical methods are powerful, but in the past three years, new approaches have been proposed. They are comparatively more complicated and less general. However, in special cases, they are more efficient (sometimes optimal).

The speakers will present some new bounding results in areas of definite industrial interest including some comparison with experimental data. They will discuss new and unexpected opportunities of applications of several classical mathematical theories including martingales, singular integrals of Calderon-Zygmund type, and quasiconformal mappings and also illustrate some encouraging new possible directions of research.

Organizer: Vincenzo Nesi
Università di Roma, "La Sapienza", Italy

4:30-4:50 Dispersion Inequalities and Data Incompatibility: a Generalization of the Kramers Kronig Relations
David Eyre, University of Utah; Joseph Mantese, General Motors Research Laboratory; and Graeme W. Milton, University of Utah
4:55-5:15 Martensitic Transformations in Polycrystals
Oscar P. Bruno, California Institute of Technology
5:20-5:40 Improved Bounds for Nonlinear Dielectric Composites
David R. S. Talbot, Coventry University, United Kingdom
5:45-6:05 What are the Best Available Bounds in Nonlinear Conduction?
Vincenzo Nesi, Organizer; David R. S. Talbot, Coventry University, United Kingdom; and J. R. Willis, University of Cambridge, United Kingdom

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MMD, 5/1/97