Thermal deflection of a non-homogeneous rectangular plate

Sanat Kumar Sarkar

Aplikace matematiky (1967)

  • Volume: 12, Issue: 4, page 300-307
  • ISSN: 0862-7940

Abstract

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Expressions for the thermal deflection of thin isotropic rectangular plates of varying thickness are obtained. The temperature is supposed to be non-steady but the time is treated as a parameter. Hence the deflections obtained are quasi-static. The result is obtained by solving the partial differential equation directly.

How to cite

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Sarkar, Sanat Kumar. "Thermal deflection of a non-homogeneous rectangular plate." Aplikace matematiky 12.4 (1967): 300-307. <http://eudml.org/doc/14484>.

@article{Sarkar1967,
abstract = {Expressions for the thermal deflection of thin isotropic rectangular plates of varying thickness are obtained. The temperature is supposed to be non-steady but the time is treated as a parameter. Hence the deflections obtained are quasi-static. The result is obtained by solving the partial differential equation directly.},
author = {Sarkar, Sanat Kumar},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {4},
pages = {300-307},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Thermal deflection of a non-homogeneous rectangular plate},
url = {http://eudml.org/doc/14484},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Sarkar, Sanat Kumar
TI - Thermal deflection of a non-homogeneous rectangular plate
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 4
SP - 300
EP - 307
AB - Expressions for the thermal deflection of thin isotropic rectangular plates of varying thickness are obtained. The temperature is supposed to be non-steady but the time is treated as a parameter. Hence the deflections obtained are quasi-static. The result is obtained by solving the partial differential equation directly.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14484
ER -

References

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  1. R. Granolsson, [unknown], Ingr. - Arch., VoL 5, p. 363, 1934. (1934) 
  2. Z. Thrun, [unknown], Rozpr. Inzyn., Vol. 4, No. 4, p. 523, І956. 
  3. E. Reissner, [unknown], J. Math. & Phys., Vol. 16, p. 43, 1937. (1937) Zbl0016.02803
  4. H. D. Comvay, [unknown], J. Appl. Mech., 15 (1948), p. 1 - 6. (1948) MR0024323
  5. H. D. Conway, [unknown], J. Appl. Mech., 26 (1958). (1958) Zbl0101.18301
  6. Z. Mazurkiewicz, [unknown], Arch. Mech. Stos., 4, 12 (1960), p. 497. (1960) Zbl0097.19401MR0120894
  7. E. H. Mansfield, 10.1093/qjmam/15.2.167, Q. J. of Mech. of Appl. Math., Vol. XV, part 2, May 1962, pp. 167-192. (1962) Zbl0113.18305MR0143386DOI10.1093/qjmam/15.2.167
  8. S. Timoshenko S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill Book Company, Inc., 1959. (1959) 
  9. B. A. Boley J. H. Weiner, Theory of Thermal Stresses, John Wiley & Sons, Inc., 1960. (1960) MR0112414

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