 | | 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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| I. T. Denisyuk, "Stresses near a conical point on the interface between two media," Mech. Solids. 36 (3), 55-64 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
3 |
Pages |
55-64 |
| Title |
Stresses near a conical point on the interface between two media |
| Author(s) |
I. T. Denisyuk (Lutsk) |
| Abstract |
To study the elastic equilibrium of a medium with conical inclusions,
a description of the local stress state near singular points is needed.
This makes it possible to construct constitutive relations similarly to
the case of plane problems with angular inclusions [1].
In the present paper, we study the local stress state associated with
conical singularities of the interface between two media.
Stress singularities for some cases of
circular cones are described in [2]. |
| References |
| 1. | I. T. Denisyuk, "Thermoelasticity problems for an elastic plate
with angle-shaped inclusions," Izv. AN. MTT [Mechanics of Solids], No. 2,
pp. 148-155, 1999. |
| 2. | V. Z. Parton and P. I. Perlin,
Methods of Mathematical Elasticity [in Russian], Nauka, Moscow, 1981. |
| 3. | H. Bateman and A. Erdélyi, Higher Transcendental Functions.
Volume 1 [Russian translation], Nauka, Moscow, 1974. |
| 4. | G. M. Fikhtengol'ts, Differential and Integral Calculus. Volume 3
[in Russian], Nauka, Moscow, 1969. |
| 5. | I. G. Petrovskii, Lectures on the Theory of Ordinary Differential
Equations [in Russian], Nauka, Moscow, 1979. |
| 6. | I. T. Denisyuk, "Stress state near a singular line
on the interface between two media," Izv. AN. MTT [Mechanics of
Solids], No. 5, pp. 64-70, 1995. |
| 7. | L. T. Berezhnitskii and I. T. Denisyuk,
"Stress-strain state of an isotropic body near stiff elliptic inclusions,"
Doklady AN UkrSSR, Ser. A, No. 12, pp. 31-35, 1984. |
| 8. | G. C. Sih and H. Liebowitz, "Mathematical theory of
brittle fracture," in Fracture. Volume 2 [Russian translation], pp. 83-203,
Mir, Moscow, 1975. |
| 9. | N. I. Akhiezer, Elements of the Theory of Elliptic Functions [in Russian],
Nauka, Moscow, 1970. |
| 10. | A. P. Norden, A Brief Course of Differential Geometry [Russian translation],
GIFML, Moscow, 1958. |
| 11. | I. T. Denisyuk,
"Singular stresses in an isotropic matrix with a wedge-shaped
elastic inclusion,"
Fiz. Khim. Mekh. Mater., No. 4, pp. 76-81, 1992. |
|
| Received |
30 March 1999 |
| << Previous article | Volume 36, Issue 3 / 2001 | Next article >> |
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