Name
Title | ||
|---|---|---|
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. |
Abstract | ||
|---|---|---|
We develop and analyze an ultraweak variational formulation of the Reissner–Mindlin plate bending model both for the clamped and the soft simply supported cases. We prove well-posedness of the formulation, uniformly with respect to the plate thickness t. We also prove weak convergence of the Reissner–Mindlin solution to the solution of the corresponding Kirchhoff–Love model when $$t\rightarrow 0$$. Based on the ultraweak formulation, we introduce a discretization of the discontinuous Petrov–Galerkin type with optimal test functions (DPG) and prove its uniform quasi-optimal convergence. Our theory covers the case of non-convex polygonal plates. A numerical experiment for some smooth model solutions with fixed load confirms that our scheme is locking free. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s00211-020-01116-0 | Numerische Mathematik |
Keywords | DocType | Volume |
74S05, 74K20, 35J35, 65N30, 35J67 | Journal | 145 |
Issue | ISSN | Citations |
2 | 0029-599X | 1 |
PageRank | References | Authors |
0.36 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Führer | 1 | 37 | 11.17 |
| Norbert Heuer | 2 | 263 | 39.70 |
| Francisco‐Javier Sayas | 3 | 274 | 37.78 |