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

[BibTeX]

Preprint

Inserted: 29 jul 2024

Year: 2024

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.