| Title:
|
Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
57-78 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Hard clamped and hard simply supported elastic plate is considered. The mixed finite element analysis combined with some interpolation, proposed by Brezzi, Fortin and Stenberg, is extended to the case of variable thickness and anisotropic material. (English) |
| Keyword:
|
Reissner-Mindlin plate model |
| Keyword:
|
mixed-interpolated elements |
| MSC:
|
65N30 |
| MSC:
|
73K10 |
| MSC:
|
73K25 |
| MSC:
|
74K20 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 0848.73067 |
| idMR:
|
MR1365139 |
| DOI:
|
10.21136/AM.1996.134313 |
| . |
| Date available:
|
2009-09-22T17:50:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134313 |
| . |
| Reference:
|
[1] Brezzi, F. – Bathe, K. J. – Fortin, M.: Mixed-interpolated elements for Reissner–Mindlin plates.Internat. J. Numer. Methods Engrg. 28 (1989), 1787–1801. MR 1008138, 10.1002/nme.1620280806 |
| Reference:
|
[2] Brezzi, F. – Fortin, M.: Mixed and Hybrid Finite Element Methods.Springer-Verlag, New York, Berlin, 1991. MR 1115205 |
| Reference:
|
[3] Brezzi, F. – Fortin, M. – Stenberg, R.: Error analysis of mixed-interpolated elements for Reissner–Mindlin plates.Math. Models and Meth. in Appl. Sci 1 (1991), 125–151. MR 1115287, 10.1142/S0218202591000083 |
| Reference:
|
[4] Brezzi, F. – Fortin, M.: Numerical approximation of Mindlin-Reissner plates.Math. Comp. 47 (1986), 151–158. MR 0842127, 10.1090/S0025-5718-1986-0842127-7 |
| Reference:
|
[5] Girault, V. – Raviart, P. A.: Finite element methods for Navier-Stokes equations.Theory and Algorithms, Springer-Verlag, Berlin, 1986. MR 0851383 |
| Reference:
|
[6] Nečas, J. – Hlaváček, I.: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction.Elsevier, Amsterdam, 1981. |
| Reference:
|
[7] Ciarlet, P.G.: Basic error estimates for elliptic problems.Handbook of Numer. Anal., P. G. Ciarlet and J. L. Lions vol. II (eds.), North-Holland, Amsterdam, 1991, pp. 17–352. Zbl 0875.65086, MR 1115237 |
| . |
