The talk will cover two topics related to the study of
microstructure arising from solid phase transformations.
The first concerns work with C. Carstensen on generalizations
of Hadamard's jump condition for Lipschitz mappings. This involves in particular
defining limiting sets of gradients of a Lipschitz mapping
gradient Young measure
from either side of a surface at an arbitrary point. The second is joint
work with an electron microscopist D. Schryvers (Antwerp) and shows how an
compatibility can be of use in constructing plausible scenarios for
macrotwin formation in NiAl alloys.