Linearization of Finite Elasticity with Surface Tension
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 $$\Gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Γ</mml:mi> </mml:math> -convergence.
Authors
- Edoardo Mainini (ORCID: https://orcid.org/0000-0003-0379-1728)
- Martin Kružík (ORCID: https://orcid.org/0000-0003-1558-5809)
Institutions
- Czech Academy of Sciences, Institute of Information Theory and Automation (CZ)
- Czech Technical University in Prague (CZ)
- University of Genoa (IT)
Publication Details
- Journal
- Journal of Nonlinear Science
- Published
- 2025-04-09
- DOI
- https://doi.org/10.1007/s00332-025-10156-5
- Citations
- 1
- Primary Topic
- Composite Material Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.86
Funders
- České Vysoké Učení Technické v Praze
- European Commission
- Ministerstvo Školství, Mládeže a Tělovýchovy
- Grantová Agentura České Republiky
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Akademie Věd České Republiky
- Università degli Studi di Genova