Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements

Ivan Hlaváček

Applications of Mathematics (1996)

  • Volume: 41, Issue: 1, page 57-78
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Hlaváček, Ivan. "Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements." Applications of Mathematics 41.1 (1996): 57-78. <http://eudml.org/doc/32937>.

@article{Hlaváček1996,
abstract = {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.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {Reissner-Mindlin plate model; mixed-interpolated elements; anisotropic material},
language = {eng},
number = {1},
pages = {57-78},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements},
url = {http://eudml.org/doc/32937},
volume = {41},
year = {1996},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 1
SP - 57
EP - 78
AB - 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.
LA - eng
KW - Reissner-Mindlin plate model; mixed-interpolated elements; anisotropic material
UR - http://eudml.org/doc/32937
ER -

References

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  1. 10.1002/nme.1620280806, Internat. J. Numer. Methods Engrg. 28 (1989), 1787–1801. (1989) MR1008138DOI10.1002/nme.1620280806
  2. Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, Berlin, 1991. (1991) MR1115205
  3. 10.1142/S0218202591000083, Math. Models and Meth. in Appl. Sci 1 (1991), 125–151. (1991) MR1115287DOI10.1142/S0218202591000083
  4. 10.1090/S0025-5718-1986-0842127-7, Math. Comp. 47 (1986), 151–158. (1986) MR0842127DOI10.1090/S0025-5718-1986-0842127-7
  5. Finite element methods for Navier-Stokes equations, Theory and Algorithms, Springer-Verlag, Berlin, 1986. (1986) MR0851383
  6. Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. (1981) 
  7. 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. (1991) Zbl0875.65086MR1115237

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