Torsion of a composite beam of rectangular cross-section consisting of n isotropic media with interfaces parallel to one of the sides

Basudev Ghosh

Aplikace matematiky (1970)

  • Volume: 15, Issue: 4, page 245-254
  • ISSN: 0862-7940

Abstract

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In this paper the torsion problem of a composite beam of rectangular cross-section composed of n different isotropic media with interfaces parallel to one side is solved adopting a procedure based on the use of Green’s function for a composite body and Fourier sine transform. An example of a composite beam formed of three media is considered and dependence of the position of occurrence of maximum stress on the ration of rigidity moduli is observed.

How to cite

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Ghosh, Basudev. "Torsion of a composite beam of rectangular cross-section consisting of $n$ isotropic media with interfaces parallel to one of the sides." Aplikace matematiky 15.4 (1970): 245-254. <http://eudml.org/doc/14653>.

@article{Ghosh1970,
abstract = {In this paper the torsion problem of a composite beam of rectangular cross-section composed of $n$ different isotropic media with interfaces parallel to one side is solved adopting a procedure based on the use of Green’s function for a composite body and Fourier sine transform. An example of a composite beam formed of three media is considered and dependence of the position of occurrence of maximum stress on the ration of rigidity moduli is observed.},
author = {Ghosh, Basudev},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {4},
pages = {245-254},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Torsion of a composite beam of rectangular cross-section consisting of $n$ isotropic media with interfaces parallel to one of the sides},
url = {http://eudml.org/doc/14653},
volume = {15},
year = {1970},
}

TY - JOUR
AU - Ghosh, Basudev
TI - Torsion of a composite beam of rectangular cross-section consisting of $n$ isotropic media with interfaces parallel to one of the sides
JO - Aplikace matematiky
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 4
SP - 245
EP - 254
AB - In this paper the torsion problem of a composite beam of rectangular cross-section composed of $n$ different isotropic media with interfaces parallel to one side is solved adopting a procedure based on the use of Green’s function for a composite body and Fourier sine transform. An example of a composite beam formed of three media is considered and dependence of the position of occurrence of maximum stress on the ration of rigidity moduli is observed.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14653
ER -

References

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  1. Kötter K., [unknown], S. B. Kgl. Preuss. Akad. Wiss. Math. Phys. Klasse, (1908), 935-955. (1908) 
  2. Trefftz E., [unknown], Math. Annalen, (1921), 97-119. (1921) 
  3. Seth B. R., [unknown], Proc. Camb. Phil. Soc., (1934), 139-140, 392-403. (1934) 
  4. Arutyunyan N. H., [unknown], PMM (English translation), (1949), 13, 107-112. (1949) Zbl0037.10702
  5. Abramian B. L., and Babloian A. A., [unknown], PMM (English translation), (1960), 24, 341 - 349. (1960) 
  6. Deutsch E., [unknown], Proc. Glasgow Math. Assoc., (1962), 5, 176-182, (1962) Zbl0173.26903
  7. Ince E. L., Ordinary differential equations, (1962), 254-258. (1962) Zbl0063.02971
  8. Morse P. M., Feshbach H., Method of theoretical physics, part I, (1953), 799-800. (1953) 
  9. Sokolnikoff I. S., Mathematical theory of elasticity, (1956), 128-131. (1956) Zbl0070.41104MR0075755

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