17 citations · 40 across the 14 of their papers we have counts for
5 papers · 1 filter
Differential inclusions and Young measures involving prescribed Jacobian
Konstantinos Koumatos, Filip Rindler, Emil Wiedemann
This work presents a general principle, in the spirit of convex integration, leading to a method for the characterization of Young measures generated by gradients of maps in $W^{1,…
Nucleation of austenite in mechanically stabilized martensite by localized heating
John M. Ball, Konstantinos Koumatos, Hanus Seiner
The nucleation of bcc austenite in a single crystal of a mechanically stabilized 2H-martensite of Cu-Al-Ni shape-memory alloy is studied. The nucleation process is induced by local…
An investigation of non-planar austenite-martensite interfaces
John M. Ball, Konstantinos Koumatos
Motivated by experimental observations on CuAlNi single crystals, we present a theoretical investigation of non-planar austenite-martensite interfaces. Our analysis is based on the…
From nonlinear to linearized elasticity via Gamma-convergence: the case of multiwell energies satisfying weak coercivity conditions
Virginia Agostiniani, Timothy Blass, Konstantinos Koumatos
Linearized elasticity models are derived, via Gamma-convergence, from suitably rescaled nonlinear energies when the corresponding energy densities have a multiwell structure and sa…
Orientation-preserving Young measures
Konstantinos Koumatos, Filip Rindler, Emil Wiedemann
We prove a characterization result in the spirit of the Kinderlehrer-Pedregal Theorem for Young measures generated by gradients of Sobolev maps satisfying the orientation-preservin…