 | | 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
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 51, Issue 1 / 2016 | Next article >> |
| S.V. Bosakov and A.V. Krupoderov, "Two Contact Problems for a Wedge with a Symmetric Cut on the Edge," Mech. Solids. 51 (1), 12-21 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
1 |
Pages |
12-21 |
| DOI |
10.3103/S0025654416010027 |
| Title |
Two Contact Problems for a Wedge with a Symmetric Cut on the Edge |
| Author(s) |
S.V. Bosakov (Institute BelNIIS, ul. F. Skoriny 15B, 220114 Republic of Belarus, sevibo@yahoo.com)
A.V. Krupoderov (Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030 Republic of Belarus) |
| Abstract |
In this paper, the solutions of two contact problems for a wedge with a symmetric cut on the edge are presented. First, special approximation methods and orthogonal polynomials are used to solve the auxiliary problem on the action of a lumped force on the cut edge. The obtained solutions are compared with known solutions in some special cases. |
| Keywords |
wedge, cut, half-plane, contact problem |
| References |
| 1. | E. M. Nekislykh and V. I. Ostrik,
"Problems on Elastic Equilibrium of a Wedge with Cracks on the Axis of Symmetry,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 111-129 (2010)
[Mech. Solids (Engl. Transl.)
45 (5), 743-756 (2010)]. |
| 2. | R. D. Bantsuri,
"The Solution of the First Fundamental Problem in the Theory of Elasticity
for a Wedge Having a Finite Slot,"
Dokl. Akad. Nauk SSSR
167 (6), 1256-1259 (1966)
[Sov. Math. Dokl. (Engl. Transl.)
11 (4), 359-361 (1966)]. |
| 3. | B. I. Smetanin,
"On a Mixed Problem of Elasticity Theory for a Wedge,"
Prikl. Mat. Mekh.
32 (4), 708-714 (1968)
[J. Appl. Math. Mech. (Engl. Transl.)
32 (4), 732-739 (1968)]. |
| 4. | B. I. Smetanin,
"Certain Problems of Cracks in Elastic Wedge and Plate,"
Inzh. Zh. MTT, No. 2, 115-122 (1968)
[Mech. Solids (Engl. Transl.)]. |
| 5. | H. E. Doran,
"The Wedge with a Symmetric Crack at the Vertex in Plane Electostatics,"
J. Inst. Math. Appl.
5 (4), 363-372 (1969). |
| 6. | A. A. Khrapkov,
"An Infinite Triangular Wedge with a Cut on the Bisectrix
under the Action of Concentrated Forces Applied to the Cut Shores,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 5, 88-97 (1972)
[Mech. Solids (Engl. Transl.)]. |
| 7. | F. Quchterlony,
"Symmetric Cracking of a Wedge by Concentrated Load,"
Int. J. Engng Sci.
15 (2), 109-116 (1977). |
| 8. | G. R. Irwin,
The Crack-Extension Force for a Crack at a Free Surface Boundary,
Report No. 5120
(Naval Research Lab., 1958). |
| 9. | O. L. Bowie and D. M. Neal,
"Single Edge Cracks in Rectangular Tensile Sheet,"
Trans. ASME. Ser. E. J. Appl. Mech.
32 (3), 708-709 (1965). |
| 10. | A. M. P. Stallybrass,
"A Crack Perpendicular to an Elastic Half-Plane,"
Int. J. Engng Sci.
8 (5), 351-362 (1970). |
| 11. | R. J. Hartranft and G. C. Sih,
"Alternating Method Applied to Edge and Surface Crack Problems [A],"
in Mechanics of Fracture, Ed. by G. C. Sih, Vol. 1
(Nordhoff, Leyden, 1973),
pp. 179-238. |
| 12. | N. Hasebe and Y. Chen,
"An Edge Crack Problem in a Semi-Infinite Plane Subjected to Concentrated Forces,"
Appl. Math. Mech.
22 (1), 1279-1290 (2001). |
| 13. | S. V. Bosakov,
"Bending of a Wall in an Elastic Half-Plane,"
Prikl. Mekh.
18 (10), 45-50 (1982)
[Int. Appl. Mech. (Engl. Transl.)
18 (10), 895-900 (1982)]. |
| 14. | V. M. Alexandrov,
"Contact Problems for Elastic Wedge,"
Inzh. Zh. MTT,
No. 2, 120-131 (1967). |
| 15. | L. A. Galin (Editor),
The Development of Theory of Contact Problems in USSR
(Nauka, Moscow, 1976)
[in Russian]. |
| 16. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems of Elasticity
(Nauka, Moscow, 1974)
[in Russian]. |
| 17. | Ya. S. Ufland,
Integral Transforms in Elasticity Problems
(Nauka, Leningrad, 1967)
[in Russian]. |
| 18. | I. S. Gradshtein and I. M. Ryzhik,
Tables of Integrals, Sums, Series, and Products
(Fizmatgiz, Moscow, 1963)
[in Russian]. |
| 19. | H. B. Dwight,
Tables of Integrals and Other Mathematical Formulas
(Macmillan, New York, 1957; Nauka, Moscow, 1982). |
| 20. | G. Ya. Popov,
Elastic Stress Concentration near Punches, Cuts, Thin Inclusions, and Stiffeners
(Nauka, Moscow, 1982)
[in Russian]. |
| 21. | M. P. Savruk,
Two-Dimensional Elasticity Problems for Bodies with Cracks
(Naukova Dumka, Kiev, 1981)
[in Russian]. |
|
| Received |
14 November 2013 |
| Link to Fulltext |
|
| << Previous article | Volume 51, Issue 1 / 2016 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English