Regular biography
William Parnell is Professor of Applied Mathematics in the Department of Mathematics at The University of Manchester. His research focuses on continuum mechanics, including solid mechanics, acoustics, elasticity, elastodynamics, homogenization, and micromechanics. His work applies to metamaterials, industrial composites, and biological media such as soft tissue and bone. He is also interested in mathematical modeling of physical processes and industrial problems, as well as the development of novel mathematical methods. His EPSRC Fellowship, "NEMESIS," involved materials modeling projects related to soft tissue, metamaterials, and industrial composites, with a focus on fundamental applied mathematics. He has contributed to various research outputs, including articles and conference contributions, and is affiliated with research groups such as Continuum Mechanics and Solid Mechanics.
Scholar-generated biography
William J. Parnell is a Professor of Applied Mathematics specializing in mechanical metamaterials, acoustics, elastodynamics, homogenization, and micromechanics. His research focuses on nonlinear phenomena, pre-stress effects, and wave propagation in composite and periodic media. He investigates dynamic homogenization, cloaking theory, and the behavior of elastic waves in pre-stressed structures. His work explores the interplay between microstructure and macroscopic properties, including the influence of mesoscale porosity on cortical bone anisotropy and the effective properties of composite materials. Parnell's research also addresses active cloaking, loss compensation, and the dynamic effective mass density of random composites, contributing to the understanding of nonlinear and time-dependent elastic metamaterials.