| Title:
|
Torsion of a composite beam of rectangular cross-section consisting of $n$ isotropic media with interfaces parallel to one of the sides (English) |
| Author:
|
Ghosh, Basudev |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
245-254 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
mechanics of solids |
| MSC:
|
73-35 |
| idZBL:
|
Zbl 0197.21802 |
| idMR:
|
MR0263291 |
| DOI:
|
10.21136/AM.1970.103293 |
| . |
| Date available:
|
2008-05-20T17:48:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103293 |
| . |
| Reference:
|
[1] Kötter K.: .S. B. Kgl. Preuss. Akad. Wiss. Math. Phys. Klasse, (1908), 935-955. |
| Reference:
|
[2] Trefftz E.: .Math. Annalen, (1921), 97-119. |
| Reference:
|
[3] Seth B. R.: .Proc. Camb. Phil. Soc., (1934), 139-140, 392-403. |
| Reference:
|
[4] Arutyunyan N. H.: .PMM (English translation), (1949), 13, 107-112. Zbl 0037.10702 |
| Reference:
|
[5] Abramian B. L., and Babloian A. A.: .PMM (English translation), (1960), 24, 341 - 349. |
| Reference:
|
[6] Deutsch E.: .Proc. Glasgow Math. Assoc., (1962), 5, 176-182, Zbl 0173.26903 |
| Reference:
|
[7] Ince E. L.: Ordinary differential equations.(1962), 254-258. |
| Reference:
|
[8] Morse P. M., Feshbach H.: Method of theoretical physics, part I.(1953), 799-800. |
| Reference:
|
[9] Sokolnikoff I. S.: Mathematical theory of elasticity.(1956), 128-131. Zbl 0070.41104, MR 0075755 |
| . |
