131 citations · 217 across the 16 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014★ 3 cited
Discontinuous order parameters in liquid crystal theories
J. M. Ball, S. J. Bedford
The paper is concerned with various issues surrounding the mathematical description of defects in models of liquid crystals, drawing on experience from solid mechanics. The roles p…
math.AP2014★ 13 cited
Quasiconvexity at the boundary and the nucleation of austenite
John Ball, Konstantinos Koumatos
Motivated by experimental observations of H. Seiner et al., we study the nucleation of austenite in a single crystal of a CuAlNi shape-memory alloy stabilized as a single variant o…
math.AP2014★ 12 cited
Incompatible sets of gradients and metastability
J. M. Ball, R. D. James
We give a mathematical analysis of a concept of metastability induced by incompatibility. The physical setting is a single parent phase, just about to undergo transformation to a p…