Joe Goddard's research lies mainly in (1) the mechanics of complex fluids and granular materials and (2) chemical and bio-molecular transport processes.
In the recent past, his research has been focused on the mechanics of fluid-particle suspensions and granular materials, which are ubiquitous in nature and technology. This research, concerned with flow and particle interaction under various conditions, has received extensive support from the Air Force Office of Scientific Research, Civil Engineering and Particulate Mechanics Programs, and from the NASA Microgravity Fluid Physics Program.
As an extension of his previous research on chemical reaction and transport in biological systems, he is currently interested in energy transduction in bio-molecular systems.
(links to PDF preprints or reprints)
“On the Thermoelectricity of W. Thomson: Towards a Theory of Thermoelastic Conductors” J. Elasticity 104:1, 267-280, 2011. (reprint)
Conference Papers and Book Chapters:
“Micromorphic balances and source-flux duality” in Christov, C.I. and Todorov, M. D. (Eds.) AIP Conference Proceedings 1404, 3rd International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences June 20-25, 2011, Albena, Bulgaria, 23-26, 2011. (preprint)
“Granular Flow” in Higham, N. et al. (eds), Princeton Companion to Applied Mathematics, Chapt.V- 17, Princeton University Press, 2015. ( preprint )