3 papers
math-ph2025
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…
math.CV2024
On feasibility of extrapolation of completely monotone functions
Henry J. Brown, Yury Grabovsky
The feasibility of extrapolation of completely monotone functions can be quantified by examining the worst case scenario, whereby a pair of completely monotone functions agree on a…
math.AP2014
Rigorous derivation of the formula for the buckling load in axially compressed circular cylindrical shells
Yury Grabovsky, Davit Harutyunyan
The goal of this paper is to apply the recently developed theory of buckling of arbitrary slender bodies to a tractable yet non-trivial example of buckling in axially compressed ci…