Research Summary
Novel structures for earthquake isolators were designed and the subject of Nature highlights (DOI: 10.1038/D41586-021-03506-2). Time dependent applied fields were tailored to extract the volume fractions in a composite or body. Isotropic planar polycrystals with extremal bulk and shear moduli were identified. Electromagnetic scattering was reformulated with an absorbing "phase" at infinity replacing the radiation conditions. A set of open problems in the theory of composites was published.
Biography
Graeme Milton received his Ph.D degree in Physics from Cornell University in 1985, and a D.Sc from Sydney University in 2003 based on his book ”The Theory of Composites” published by Cambridge University Press, now followed by the book ”Extending the Theory of Composites to other Areas of Science”. He is currently a distinguished professor of mathematics at the University of Utah, where he served as department chairman from 2002 to 2005. He has been awarded Sloan and Packard Fellowships, the 2003 SIAM Ralph Kleinman Prize for research bridging the gap between mathematics and applications, the 2007 Society for Engineering Science Prager Medal for contributions to theoretical mechanics, the 2012 Landauer Medal of the ETOPIM association for seminal contributions to the field of composite material science, and the 2015 International prize Tullio Levi-Civita for the Mathematical and Mechanical Sciences. He is a fellow of Society for Industrial and Applied Mathematics. His main interests are in the fields of composite materials, inverse problems