9:30 AM-10:00 AM
Room: Capitol Center/South
Chair: Jerrold E. Marsden, California Institute of Technology
Consider a material undergoing a solid phase transformation involving a change of shape from a higher temperature version of the material (austenite) to a lower temperature version (martensite). Usually the transformation takes place via a planar austenite-martensite interface in which undistorted austenite meets a simply-layered microstructure of martensite.
The speaker will describe how an elasticity-based model, together with ideas from the calculus of variations concerning Young measures and quasiconvexity, lead to experimental predictions of more complex behavior in certain materials.(This is joint work with Carsten Carstensen.)
John M. Ball
Oxford University, United Kingdom
Additional information on the The Theodore von Kármán Prize prize appears at http://www.siam.org/prizes/vonkar.htm.