Calculus of Variations and Geometric Measure Theory

M. Kruzik - E. Mainini

Linearization of finite elasticity with surface tension

created by mainini on 29 Jul 2024
modified on 15 Dec 2025

[BibTeX]

Published Paper

Inserted: 29 jul 2024
Last Updated: 15 dec 2025

Journal: J. Nonlinear. Sci.
Volume: 35
Number: 63
Year: 2025
Doi: 10.1007/s00332-025-10156-5

ArXiv: 2312.08783 PDF

Abstract:

We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establish corresponding linearized models and show their relationship to the original ones by means of Γ-convergence.