 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| S. A. Zorin and V. N. Maksimenko, "Analysis of the stress-strain state of an anisotropic plate with an elliptic hole and thin elastic inclusions," Mech. Solids. 43 (2), 232-240 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
2 |
Pages |
232-240 |
| DOI |
10.3103/S0025654408020088 |
| Title |
Analysis of the stress-strain state of an anisotropic plate with an elliptic hole and thin elastic inclusions |
| Author(s) |
S. A. Zorin (Novosibirsk State Technical University, pr-t K. Marksa 20, Novosibirsk, 630092, Russia, lpr@pbnsk.ru)
V. N. Maksimenko (Novosibirsk State Technical University, pr-t K. Marksa 20, Novosibirsk, 630092, Russia, kimt@ngs.ru) |
| Abstract |
We solve the problem of determining the stress-strain state of an anisotropic plate with an elliptic hole and a system of thin rectilinear elastic inclusions. We assume that there is a perfect mechanical contact between the inclusions and the plate. We deal with a more precise junction model with the flexural rigidity of inclusions taken into account. (The tangential and normal stresses, as well as the derivatives of the displacements, experience a jump across the line of contact.) The solution of the problem is constructed in the form of complex potentials automatically satisfying the boundary conditions on the contour of the elliptic hole and at infinity. The problem is reduced to a system of singular integral equations, which is solved numerically. We study the influence of the rigidity and geometry parameters of the elastic inclusions on the stress distribution and value on the contour of the hole in the plate. We also compare the numerical results obtained here with the known data. |
| References |
| 1. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
(Nauka, Moscow, 1983)
[in Russian]. |
| 2. | V. G. Popov,
Concentration of Elastic Stresses Near Stamps, Cuts, Thin Inclusions, and Reinforcements
(Nauka, Moscow, 1982)
[in Russian]. |
| 3. | G. N. Savin,
Stress Distribution near Holes
(Naukova Dumka, Kiev, 1968)
[in Russian]. |
| 4. | V. N. Maksimenko,
"Problem of an Anisotropic Plate Weakened by
Curvilinear Cracks and Reinforced by Stiffeners,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
No. 2, 163-169 (1982)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
23 (2), 312-318 (1982)]. |
| 5. | V. N. Maksimenko and G. V. Nedogibchenko, "Stress-Strain State of
a Composite Anisotropic Plate with Curvilinear Cracks and Thin
Rigid Inclusions," Zh. Prikl. Mekh. Tekhn. Fiz., No. 5, 209-216
(2001) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 42 (5),
912-917 (2001)]. |
| 6. | F. E. Erdogan, G. D. Gupta, and N. S. Cook,
"The Numerical Solutions of Singular Integral Equations,"
in Mechanics of Fracture
(Noordhoff Intern. Publ., Leyden, 1973), Vol. 1, pp. 368-425. |
| 7. | S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods
in Singular Integral Equations and Their Applications in
Aerodynamics, Elasticity, and Electrodynamics (Nauka, Moscow,
1985) [in Russian]. |
| 8. | V. N. Maksimenko and Yu. N. Khan,
"Influence of Stiffening Ribs on the Stress-Strain State near a Hole
or a Crack in an Anisotropic Plate,"
Uch. Zap. TsAGI
13 (3), 99-107 (1982). |
| 9. | Yu. Murami (Editor),
Stress Intensity Factors Handbook
(Pergamon Press, Oxford, 1987; Mir, Moscow, 1990). |
|
| Received |
06 June 2006 |
| Link to Fulltext |
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