| Title:
|
Propagation of monochromatic waves in an initially stressed infinite micropolar elastic plate (English) |
| Author:
|
Bera, Rasajit Kumar |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1973 |
| Pages:
|
9-17 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of this paper is to investigate the propagation of monochromatic waves in an initially stressed infinite micropolar elastic plate. The "initial stress" is considered in the light of Cauchy theory. The problem of propagation of waves is reduced to the solution of symmetric and anti-symmetric vibrations. () |
| MSC:
|
74A35 |
| MSC:
|
74J10 |
| idZBL:
|
Zbl 0262.73035 |
| DOI:
|
10.21136/AM.1973.103443 |
| . |
| Date available:
|
2008-05-20T17:54:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103443 |
| . |
| Reference:
|
[1] V. A. Palmov: Особные уравнения теории несимметричной упругости.Прикл. мат. и мех., 28 (1964), 401. MR 0211657 |
| Reference:
|
[2] W. Nowacki: Propagation of rotation waves in asymmetric elasticity.Bull. Acad. Polon. Sci., Ser. Sci. techn., 16 (1968), 493. Zbl 0175.51001, MR 0244652 |
| Reference:
|
[3] S. Kaliski J. Kapelewski C. Rymarz: Surface waves on an optical branch in a continuum with rotational degrees of freedom.Proc. Vibr. Probl., 9 (1964), 107. |
| Reference:
|
[4] W. Nowacki W. K. Nowacki: Propagation of monochromatic waves in an infinite micropolar elastic plate.Bull. Acad. Polon. Sci., Ser. Sci. Techn., 17 (1969), No. 1 (29). MR 0323213 |
| Reference:
|
[5] A. E. H. Love: A treatise on the mathematical theory of elasticity.Dover Publications, New York, 1927, 109-111, 616-620. |
| Reference:
|
[6] G. Paria: Cauchy theory of initial stress in plane strain and its application to the stress distribution in a semi-infinite strip with initial shear.Indian Journal of Math., Prasad Memorial issue, Vol. 9, No. 1, 1967. |
| Reference:
|
[7] A. C. Eringen E. S. Suhubi: .lnst. J. Ing., 2 (1964), 189. MR 0169423 |
| Reference:
|
[8] A. C. Eringen E. S. Suhubi: .lnst. J. Ing., 2 (1964), 389. MR 0170513 |
| Reference:
|
[9] H. Lamb: On waves in an elastic plate.Proc. Roy. Soc., 93 (1917), 114. |
| Reference:
|
[10] W. M. Eving W. S. Jardetzky F. Press: Elastic waves in layered media.McGraw-Hill, New York, 1958. |
| . |
