 | | 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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| A.A. Ostsemin and P.B. Utkin, "Stress-Strain State and Stress Intensity Factors of an Inclined Elliptic Defect in a Plate under Biaxial Loading," Mech. Solids. 45 (2), 214-225 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
2 |
Pages |
214-225 |
| DOI |
10.3103/S002565441002007X |
| Title |
Stress-Strain State and Stress Intensity Factors of an Inclined Elliptic Defect in a Plate under Biaxial Loading |
| Author(s) |
A.A. Ostsemin (Southern Ural Research and Production Center Ltd, Severo-Krymskaya 68-61, Chelyabinsk, 454106 Russia, ostsemin@math.susu.ac.ru)
P.B. Utkin (South Ural State University, pr-t Lenina 76, Chelyabinsk, 454080 Russia, neobart@inbox.ru) |
| Abstract |
We consider a mathematical model of the stress-strain state of a plate with an inclined elliptic defect. We obtain approximate formulas for the stress tensor, the displacements, and the principal stresses near the defect vertex. The obtained formulas are compared with the results obtained by the holographic photoelasticity method. |
| Keywords |
fracture mechanics, elliptic defect, stress tensor, biaxial loading, holographic interferometry method |
| References |
| 1. | J. Eftis and N. Subramonian,
"The Inclined Crack under Biaxial Load,"
Engng Fract. Mech.
10 (1), 43-67 (1978). |
| 2. | G. C. Sih and B. C. Cha,
"A Fracture Criterion for Three Dimensional Crack Problem,"
Engng Fract. Mech.
6 (4), 699-723 (1974). |
| 3. | P. S. Theocaris and J. G. Michopoulos,
"A Closed-Form Solution of a Slant Crack under Biaxial Loading,"
Engng Fract. Mech.
17 (2), 97-123 (1983). |
| 4. | J. G. Williams and P. D. Ewing,
"Fracture under Complex Stress - The Angles Crack Problem,"
Int. J. Fract. Mech.
8 (4), 441-446 (1972). |
| 5. | H. Liebowitz, J. Eftis, and D. Johns,
"Several Recent Theoretical and Experimental Studies in Fracture Mechanics,"
in Fracture Mechanics. Construction Fracture,
Ed. by R. V. Goldstein
(Mir, Moscow, 1980),
pp. 168-202
[in Russian]. |
| 6. | J. Eftis, N. Subramonian, and H. Liebowits,
"Crack Border Stress and Displacement Equations Revisited,"
Engng Fract. Mech.
9 (1), 189-210 (1977). |
| 7. | M. L. Williams,
"On the Stress Distribution at the Base of a Stationary Crack,"
J. Appl. Mech.
24 (1), 109-114 (1957). |
| 8. | G. C. Sih,
"On the Westergaard Method of Crack Analysis,"
Int. J. Fract. Mech.
2 (4), 628-631 (1969). |
| 9. | N. I. Muskhelishvili,
Some Fundamental Problems of Mathematical Elasticity Theory
(Nauka, Moscow, 1966)
[in Russian]. |
| 10. | J. Eftis and H. Liebowits,
"On the Modified Westergaard Equation for Certain Plane Crack Problem,"
Int. J. Fract. Mech.
8 (4), 383-392 (1972). |
| 11. | G. P. Cherepanov,
Mechanics of Brittle Fracture
(Nauka, Moscow, 1974; McGraw-Hill, New York, 1979). |
| 12. | V. V. Panasyuk,
Mechanics of Material Quasibrittle Fracture
(Naukova Dumka, Kiev, 1991)
[in Russian]. |
| 13. | A. Ya. Krasovskii,
Material Brittleness at Low Temperatures
(Naukova Dumka, Kiev, 1980)
[in Russian]. |
| 14. | N. A. Makhutov,
Deformation Fracture Criteria and Strength Calculation of Construction Elements
(Mashinostroenie, Moscow, 1981)
[in Russian]. |
| 15. | V. A. Vinokurov,
"Use of Fracture Mechanics Aspects to Estimate the Properties of Welded Joints,"
Svar. Proizv.,
No. 5, 2-4 (1977). |
| 16. | P. Paris and G. C. Sih,
"Analysis of Stressed State near Cracks,"
in Applied Problems of Fracture Viscosity
(Mir, Moscow, 1968),
pp. 64-142
[in Russian]. |
| 17. | A. A. Kaminskii,
Brittle Fracture near Holes
(Naukova Dumka, Kiev, 1982)
[in Russian]. |
| 18. | P. S. Theocaris and C. P. Spyropoulos,
"Photoelastic Determination of Complex Stress Intensity Factors for Slant Crack under Biaxial Loading with Higher-Order Term Effects,"
Acta Mech.
48 (1-2), 57-70 (1983). |
| 19. | R. J. Sanford and J. W. Dally,
"A General Method for Determining Mixed-Mode Stress Intensity Factors from Isochromatic Fringe Patterns,"
Engng Fract. Mech.
11 (4), 621-633 (1979). |
| 20. | A. A. Ostsemin,
"Determining the Stressed State and Stress Intensity Factors
in Constructions with Crack-Like Defects
by the Holographic Interferometry Method,"
Vestnik Mashinostr.,
No. 8, 21-28 (2009). |
| 21. | A. A. Ostsemin,
"Two-Parameter Determination of Stress Intensity Factors
for an Inclined Crack by the Holographic Interferometry Method,"
Zavodskaya Laboratoriya,
No. 12, 45-48 (1991). |
| 22. | A. Ya. Aleksandrov and M. Kh. Akhmetzyanov,
Polarization-Optical Methods of Mechanics of Deformable Body
(Nauka, Moscow, 1973)
[in Russian]. |
| 23. | A. A. Ostsemin, S. A. Deniskin, L. L. Sitnikov, et al.,
"Determination of the Stress State of Bodies with Flaws
by the Method of Holographic Photoelasticity,"
Probl. Prochn.,
No. 10, 77-81 (1982)
[Strength of Materials (Engl. Transl.)
14 (10), 1375-1380 (1982)]. |
| 24. | L. L. Sitnikov, A. A. Ostsemin, S. A. Deniskin, and A. A. Zagrebalov,
"Determining the Stress Intensity Factor KI
by the Holographic Photoelasticity Method,"
Zavodskaya Laboratoriya,
No. 9, 81-83 (1982). |
| 25. | A. A. Ostsemin,
"Two-Parameter Determination of the Stress Intensity Factor KI
by the Holographic Interferometry Method,"
Zavodskaya Laboratoriya. Diagnostika Materialov,
No. 3, 47-50 (2008). |
| 26. | J. F. Doyle, S. Kamle, and J. Takezaki,
"Error Analysis of Photoelasticity in Fracture Mechanics,"
Exp. Mech.
21 (11), 429-435 (1981). |
| 27. | G. P. Karzov, V. P. Leonov, and B. T. Timofeev,
Welded Pressurized Vessels: Strength and Endurance (Mashinostroenie, Leningrad, 1982) [in Russian]. |
| 28. | V. I. Trufyakov (Editor),
Strength of Welded Joints under Variable Loads
(Naukova Dumka, Kiev, 1990)
[in Russian]. |
| 29. | A. A. Ostsemin and P. B. Utkin,
"Application of Criteria of Elastoplastic Fracture Mechanics
in Estimating the Properties of Welded Joints,"
Vopr. Materialov.,
No. 3, 151-160 (2007). |
|
| Received |
05 May 2008 |
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