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math-ph2026
Finite-strain second-gradient elasticity with an energetic surface: existence of minimizers, incremental theory and elastocapillary beading
Michal Šmejkal, Martin Horák, Martin Kružík
We develop a finite-strain theory of second-gradient elasticity for solids with a material surface endowed with its own constitutive energy. The bulk second gradient plays two comp…
math-ph2025★ 1 cited
Surface-Polyconvex Models for Soft Elastic Solids
Martin Horák, Michal Šmejkal, Martin Kružík
Soft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This in…