21 citations · 54 across the 25 of their papers we have counts for
26 papers
Clapeyron-type theorems in nonlinear elasticity
Yury Grabovsky, Lev Truskinovsky
Clapeyron's Theorem of 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…
Elastodynamics from a variational standpoint: integral equalities and inequalities
Yury Grabovsky, Lev Truskinovsky
As it is well known, solutions of equations of nonlinear elastodynamics, representing extremals of the action functional, can form shocks. We adapt the classical approach of Emmy N…
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…
Complete characterization of symmetric Kubo-Ando operator means satisfying Molnár's weak associativity
Yury Grabovsky, Graeme W. Milton, Aaron Welters
We provide a complete characterization of a subclass of weakly associative means of positive operators in the class of symmetric Kubo-Ando means. This class, which includes the geo…
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…
A theory of inductive loops in electrochemical impedance spectroscopy
Yury Grabovsky, Jacob Guynee
We demonstrate that failure of time-invariance assumption in the modeling of electrochemical systems by equivalent circuits can lead to the formation of low frequency "inductive lo…