 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| D.V. Babich and T.I. Dorodnykh, "Ambiguity of the Critical Load for Spherical Shells with Shear Damageability of the Material," Mech. Solids. 51 (1), 81-90 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
1 |
Pages |
81-90 |
| DOI |
10.3103/S002565441601009X |
| Title |
Ambiguity of the Critical Load for Spherical Shells with Shear Damageability of the Material |
| Author(s) |
D.V. Babich (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, ul. Nesterova 3, Kiev, 03057 Ukraine, babich_dv@ukr.net)
T.I. Dorodnykh (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, ul. Nesterova 3, Kiev, 03057 Ukraine) |
| Abstract |
The structural-probabilistic approach to the modeling of combined crack formation and material deformation processes is used to develop a technique for solving bifurcation stability problems for thin-walled structural members made of damageable materials under single and repeated loadings. The example of a uniformly compressed spherical shell is used to show that, under repeated loading, thin-walled structural members made of shear damageable materials can lose stability under loads smaller than the upper critical loads. The ambiguity of the critical loads for various damage accumulation processes in the material of thin-walled structures depends on the level and character of loading. This phenomenon can be one possible cause of the experimental data spread and the discrepancy between theoretical and experimental results used to determine the critical loads for spherical and cylindrical shells. |
| Keywords |
crack formation in shear, repeated loading, stability, spherical shell |
| References |
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[in Russian]. |
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No. 4, 149-158 (1973)
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| 5. | V. P. Tamuzh and V. S. Kuksenko,
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| 7. | A. S. Volmir,
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| 8. | D. V. Babich,
"Simulation of Coupled Processes of Deformation and Cracking in Elastic Brittle Materials,"
Probl. Prochn.,
No. 2, 96-105 (2004)
[Strength of Materials (Engl. Transl.)
36 (2), 178-184 (2004)]. |
| 9. | D. V. Babich,
"Deformation of Brittle Materials with Scattered Cracking,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 101-109 (2012)
[Mech. Solids (Engl. Transl.)
47 (1), 79-85 (2012)]. |
| 10. | D. V. Babich and V. N. Bastun,
"On Dispersed Microdamageability of Elastic-Brittle Materials under Deformation,"
J. Strain Anal.
45 (1), 57-66 (2010). |
| 11. | D. V. Babich,
"Statistical Fracture Criterion for Brittle Materials
under Static and Repeated Loadings,"
Teor. Prikl. Mekh.,
No. 3(49), 16-27 (2011). |
| 12. | D. V. Babich,
"A Statistical Strength Criterion for Brittle Materials,"
Probl. Prochn.,
No. 5, 26-37 (2011)
[Strength of Materials (Engl. Transl.)
43 (5), 573-582 (2011)]. |
| 13. | D. V. Babich,
"On the Local Buckling of Compressed Shells of Revolution Due to Micro-Fracture in the Material,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 128-136 (2003)
[Mech. Solids (Engl. Transl.)
38 (5), 106-112 (2003)]. |
|
| Received |
09 July 2013 |
| Link to Fulltext |
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