Contribution to the Reissnerian algorithm in the theory of bending of elastic plates

Alexander Hanuška

Aplikace matematiky (1967)

  • Volume: 12, Issue: 6, page 449-467
  • ISSN: 0862-7940

Abstract

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The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.

How to cite

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Hanuška, Alexander. "Contribution to the Reissnerian algorithm in the theory of bending of elastic plates." Aplikace matematiky 12.6 (1967): 449-467. <http://eudml.org/doc/14504>.

@article{Hanuška1967,
abstract = {The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.},
author = {Hanuška, Alexander},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {6},
pages = {449-467},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contribution to the Reissnerian algorithm in the theory of bending of elastic plates},
url = {http://eudml.org/doc/14504},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Hanuška, Alexander
TI - Contribution to the Reissnerian algorithm in the theory of bending of elastic plates
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 6
SP - 449
EP - 467
AB - The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14504
ER -

References

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  2. I. Babuška, Problems of Optimal Reduction of Three-Dimensional Problems of Theory of Elasticity, Theory of Plates and Shelles, pp. 15-28, Vydavatelstvo SAV, Bratislava 1966. (1966) 
  3. Л. Я. Айнола, Об уточненных теориях типа Рейснера, Сборник ,,Теория оболочек и пластин", Изд. АНАрмССР, Ереван, стр. 171-177, 1964. (1964) Zbl1117.65300
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  5. I. Babuška, al., Algorithmi of the Reissnerian Type in the Mathematical Theory of Elasticity, (in Czech), Sborník 24 Fak. inž. stav. ČVUT v Praze, Státní ped. nakl., pp. 15-47, Praha 1961. (1961) 
  6. I. Hlaváček, Solution of Bending of a Circular Plate Using the Method of Reissnerian Algorithmus of First Kind, (In Czech), Aplikace Matematiky, 9, pp. 173-185, 1964. (1964) 
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  8. K. О. Friedrichs R. F. Dressler, A Boundary - Layer Theory for Elastic Plates, Communications on Pure and Applied Mathematics, Vol. XIV., pp. 1 - 33, 1961. (1961) Zbl0096.40001MR0122117
  9. А. И. Лурье, К задаче о равновесии пластины переменной толщины, Труды Ленинградско- го индустиального института, № 6, стр. 57-80, 1936. (1936) Zbl0173.16902
  10. А. И. Лурье, Пространственные задачи теории упругости, Гос. изд. тех.-теор. лит., Москва, 1955. (1955) Zbl1160.26300
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