 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| K.E. Sibgatullin and E.S. Sibgatullin, "Estimate of Strength of Anisotropic Bars of Arbitrary Cross-Section in the General Case of Their Combined Stress," Mech. Solids. 45 (1), 67-73 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
1 |
Pages |
67-73 |
| DOI |
10.3103/S0025654410010103 |
| Title |
Estimate of Strength of Anisotropic Bars of Arbitrary Cross-Section in the General Case of Their Combined Stress |
| Author(s) |
K.E. Sibgatullin (Kama State Academy of Engineering and Economics, pr-t Mira 68/19, Naberezhnye Chelny, Tatarstan, 423810 Russia, kamilll@mail.ru)
E.S. Sibgatullin (Kama State Academy of Engineering and Economics, pr-t Mira 68/19, Naberezhnye Chelny, Tatarstan, 423810 Russia, cibes@mail.ru) |
| Abstract |
We consider bars of arbitrary shape made of a homogeneous anisotropic material. In the general case, all six internal force factors (three forces and three moments) are simultaneously nonzero in the transverse cross-sections of the bar. We consider the case of small displacements and strains of the bar. Using the rigid-plastic model of a strained rigid body, the associated strain law, and the traditional hypotheses of static and kinematic character for the bars, we derive parametric equations for the limit surface (the strength surface) in the space of internal forces and moments acting in the the transverse cross-section. We present several versions of the obtained equations in specific cases (for orthotropy, transversal isotropy, and isotropy) and some numerical examples. |
| Keywords |
rods, combined stress, anisotropy, rigid-plastic model, strength surfaces |
| References |
| 1. | A. A. Gvozdev,
Calculating Structure Carrying Capacity by the Limiting-Equilibrium Method
(Stroiizdat, Moscow, 1949)
[in Russian]. |
| 2. | E. D. Chikhladze, A. D. Arslankhanov, and A. Salam,
"Computations of Steel-Aggregate Strength Analysis of Steel-Concrete Elements of. Rectangular Cross-Section
under Eccentric Compression and Bending,"
Stroit. Mekh. Rashch. Sooruzh.,
No. 3, 9-17 (1992). |
| 3. | W. Q. Shen,
"Interaction Yield Hypersurfaces for the Plastic Behavior of Beams. I. Combining Bending, Tension, and Shear,"
Int. J. Mech. Sci.
37 (3), 221-238 (1995). |
| 4. | W. Q. Shen,
"Interaction Yield Hypersurfaces for the Plastic Behavior of Beams. II. Combining Bending, Tension, Shear, and Torsion,"
Int. J. Mech. Sci.
37 (3), 239-247 (1995). |
| 5. | A. V. Mishchenko,
"Limit Equilibrium of Layered Rod Systems,"
Dokl. Akad Nauk Vyssh. Shkoly Rossii,
No. 2, 68-75 (2004). |
| 6. | R. Hill,
The Mathematical Theory of Plasticity
(Clarendon, Oxford, 1950; Gostekhizdat, Moscow, 1956). |
| 7. | A. K. Malmeister,
"Geometry of Theories of Strength,"
Mekh. Polimer.,
No. 4, 519-534 (1966)
[Polimer Mech. (Engl. Transl.)
2 (4), 324-331 (1966)]. |
| 8. | B. E. Pobedrya,
"Strength Criteria of an Anisotropic Material,"
Prikl. Mat. Mekh.
52 (1), 141-144 (1988)
[J. Appl. Math. Mech. (Engl. Transl.)
52 (1), 113-120 (1988)]. |
| 9. | L. M. Kachanov,
Foundations of the Theory of Plasticity
(Nauka, Moscow, 1969; North-Holland, Amsterdam, 1971). |
| 10. | A. E. H. Love,
A Treatise on the Mathematical Theory of Elasticity, 4th ed.
(Cambridge Univ. Press, Cambridge, 1927; ONTI, Moscow, 1935). |
| 11. | I. G. Teregulov,
Strength of Materials and Foundations of Elasticity and Plasticity Theory
(Vysshaya Shkola, Moscow, 1984)
[in Russian]. |
|
| Received |
20 November 2007 |
| Link to Fulltext |
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