90 citations · 1.1k across the 44 of their papers we have counts for
47 papers
Generalized Clapeyron's theorem
Yury Grabovsky, Lev Truskinovsky
Clapeyron's Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied…
Rigidity-induced critical points
Yury Grabovsky, Lev Truskinovsky
While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynami…
Solid phase transitions in the liquid limit
Yury Grabovsky, Lev Truskinovsky
We address the fundamental difference between solid-solid and liquid-liquid phase transitions within the Ericksen's nonlinear elasticity paradigm. To highlight ideas, we consider t…
A class of nonlinear elasticity problems with no local but many global minimizers
Yury Grabovsky, Lev Truskinovsky
We present a class of models of elastic phase transitions with incompatible energy wells in any space dimension, where an abundance of Lipschitz global minimizers in a hard device…
Homogeneous nucleation of dislocations as a pattern formation phenomenon
R. Baggio, O. U. Salman, L. Truskinovsky
Dislocation nucleation in homogeneous crystals initially unfolds as a linear symmetry-breaking elastic instability. In the absence of explicit nucleation centers, such instability…
Beyond the classical Cauchy-Born rule
Andrea Braides, Andrea Causin, Margherita Solci +1
Physically motivated variational problems involving non-convex energies are often formulated in a discrete setting and contain boundary conditions. The long-range interactions in s…