| Title:
|
Linear viscoelasticity with couple-stresses (English) |
| Author:
|
Hlaváček, Miroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
14 |
| Issue:
|
6 |
| Year:
|
1969 |
| Pages:
|
475-496 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper the llinear isothermal quasi-static theory of homogeneous and isotropic viscoelastic bodies with couple-stresses is established. The general representations of the linear hereditary laws both in an integral and differential form are given. Uniqueness of the mixed boundary-value problems is proved. The generalization of Betti's reciprocal theorem and that of Galerkin and Papkovich stress functions are obtained. (English) |
| Keyword:
|
mechanics of solids |
| idZBL:
|
Zbl 0197.51801 |
| DOI:
|
10.21136/AM.1969.103255 |
| . |
| Date available:
|
2008-05-20T17:46:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103255 |
| . |
| Reference:
|
[1] Gurtin M. E., Sternberg E.: On the linear theory of viscoelasticity.Arch. Rat. Mech. Anal., 11 5, 1962. Zbl 0107.41007, MR 0147047, 10.1007/BF00253942 |
| Reference:
|
[2] Mindlin R. D., Tiersten H. F.: Effects of couple-stresses in linear elasticity.Arch. Rat. Mech. Anal., 11, 5, 1962. MR 0144513, 10.1007/BF00253946 |
| Reference:
|
[3] Misicu M.: Theory of viscoelasticity with couple-stresses and some reductions to two-dimensional problem.Revue de Mécanique Appl. Acad. Rep. P. Roumaine, 8, 6, 1963. MR 0168199 |
| Reference:
|
[4] Koiter W. T.: Couple-stresses in the theory of elasticity.Proceedings Koninklijke Nederlandse Akad. van Wet, Ser. B, 67, 1, 1964. Zbl 0124.17405 |
| Reference:
|
[5] Doyle I. M.: On completness of stress functions in elasticity with couple-stresses.J. of Appl. Mech. (Trans. ASME), Ser. E, 4, 1964. |
| . |
