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Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions

https://doi.org/10.1007/s00332-024-10094-8

Vainchtein, Anna; Truskinovsky, Lev (December 2024, Journal of Nonlinear Science)

Free, publicly-accessible full text available December 1, 2025
When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs

https://doi.org/10.1016/j.physd.2024.134187

Vainchtein, Anna; Truskinovsky, Lev (August 2024, Physica D: Nonlinear Phenomena)

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Solid Phase Transitions in the Liquid Limit

https://doi.org/10.1007/s10659-023-10022-z

Grabovsky, Yury; Truskinovsky, Lev (July 2024, Journal of Elasticity)

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A Class of Nonlinear Elasticity Problems with No Local but Many Global Minimizers

https://doi.org/10.1007/s10659-023-10026-9

Grabovsky, Yury; Truskinovsky, Lev (April 2023, Journal of Elasticity)

We present a class of models of elastic phase transitions with incompatible energy wells in an arbitrary space dimension, where in a hard device an abundance of Lipschitz global minimizers coexists with a complete lack of strong local minimizers. The analysis is based on the proof that every strong local minimizer in a hard device is also a global minimizer which is applicable much beyond the chosen class of models. Along the way we show that a new demonstration of sufficiency for a subclass of affine boundary conditions can be built around a novel nonlinear generalization of the classical Clapeyron theorem.
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Explicit Relaxation of a Two-Well Hadamard Energy

https://doi.org/10.1007/s10659-018-09720-w

Grabovsky, Yury; Truskinovsky, Lev (April 2019, Journal of Elasticity)

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When Rank-One Convexity Meets Polyconvexity: An Algebraic Approach to Elastic Binodal

https://doi.org/10.1007/s00332-018-9485-7

Grabovsky, Yury; Truskinovsky, Lev (February 2019, Journal of Nonlinear Science)

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