Professor Blume's research focuses on mathematical aspects of solid mechanics. Questions of existence and uniqueness of solutions to systems of partial differential equations that arise in continuum descriptions of solid behavior are considered. 

Professor Blume's research focuses on mathematical aspects of solid mechanics. For example, questions of existence and uniqueness of solutions to systems of partial differential equations that arise in continuum descriptions of solid behavior are considered. Recent work in this area is concerned with finding the circumstances under which a given rotation field can be generated by a continuum deformation of a solid. Such existence conditions are a useful guide to interpretation of experimental measurements of rotation fields.
 

• NSF DMR-9632534  “Micro-- and  Nano--Mechanics of Materials, (W. Curtin, P.I.), 9/1/00/--8/30/05.
• NSF DMR-9632534  “Micro-- and Nano--Mechanics of Materials, (Outreach Director, with W. Curtin, director), 9/1/05/--8/30/11, in phase-out period to 2013
• “Measurement of stress-strain response of the cervix,” Salomon Award from Brown University, with Professor Pradeep Guduru and Dr. Edward Chien (Women and Infants Hospital) 2006
• RI STAC grant: “Development of Multiscale Brain Injury Models for Concussion and Traumatic Brain Injuries” with Profs Christian Franck, Trey Crisco, and Subham Sett (Simulia.) 2011

• Zhang, Q, and Blume, JA, Surface wrinkling in generalized Blatz–Ko materials, Extreme Mechanics Letters, Volume 11, February, 2017.
• Rizza, G, and Blume J. Twinned Finite Plane Deformations Generated by Prescribed Rotation Fields. Journal of Elasticity, June 2014, Volume 116, Issue 1, pp 1-126. DOI 10.1007/s10659-013-9455-0, 2013
• Rizza, G, and Blume J. Plane Deformations Generated by a Prescribed Finite Rotation Field. Journal of Elasticity February 2013, Volume 110, Issue 2, pp 141-158
• Blume, J. An Undergraduate Teacher Education Program For Engineering Students. Proceedings, PTEC Annual Conference series, American Physical Society, Boulder CO: March, 2007.
• Pedersen, L, Blume, J, and Bordac, S. Using Patents Databases to Teach Information Finding Skills to Engineering Undergraduates. Proceedings ASEE Annual meeting in June of 2007.
• Crisco, J, Blume, J, Teeple, E, Fleming, B, and Jay, G. Assuming Exponential Decay by incorporating viscous damping improves the prediction of the coefficient of friction in pendulum tests of whole articular joints. Journal of Engineering in Medicine, Volume 221, Number 3 / 2007.
   

* Member, Society of Sigma Xi, 1982 *Student Paper award, Symposium for Computer Applications in Medical Care, 1983, * Member, Tau Beta Pi Engineering Honor Society, 1990 * Presidential Young Investigator Award, National Science Foundation, 1989 to 1995, * Philip J. Bray award for Excellence in teaching in the physical sciences, 1997. * School of Engineering Dedicated Faculty award, 2009. * Karen T. Romer Prize for Excellence in Advising, 2010

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Professor Blume has taught courses at all levels of the engineering program, including the course, ENGN0030: Introduction to Engineering, taken by all incoming engineering undergraduates.