Nonlinear Shell Models of Kirchhoff-Love Type : Existence Theorem and Comparison with Koiter’s Model
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3-27 |
| Number of pages | 25 |
| Journal / Publication | Acta Mathematicae Applicatae Sinica |
| Volume | 35 |
| Issue number | 1 |
| Publication status | Published - Jan 2019 |
| Externally published | Yes |
Link(s)
Abstract
We define two nonlinear shell models whereby the deformation of an elastic shell with small thickness minimizes ad hoc functionals over sets of admissible deformations of Kirchhoff-Love type. We establish that both models are close in a specific sense to the well-known nonlinear shell model of W.T. Koiter and that one of them has a solution, by contrast with Koiter’s model for which such an existence theorem is yet to be proven.
Research Area(s)
- Asymptotics, Existence Theory, Kirchhoff-Love, Koiter, Nonlinearly Elastic Shells
Citation Format(s)
Nonlinear Shell Models of Kirchhoff-Love Type: Existence Theorem and Comparison with Koiter’s Model. / Mardare, Cristinel.
In: Acta Mathematicae Applicatae Sinica, Vol. 35, No. 1, 01.2019, p. 3-27.
In: Acta Mathematicae Applicatae Sinica, Vol. 35, No. 1, 01.2019, p. 3-27.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
