 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A. O. Vatul'yan and A. N. Solov'ev, "On the reconstruction of plane cracks in an elastic heat-conducting solid with the interaction of crack surfaces being taken into account," Mech. Solids. 41 (1), 114-123 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
114-123 |
| Title |
On the reconstruction of plane cracks in an elastic heat-conducting solid with the interaction of crack surfaces being taken into account |
| Author(s) |
A. O. Vatul'yan (Rostov-on-Don)
A. N. Solov'ev (Rostov-on-Don) |
| Abstract |
An approach to the identification of plane cracks in an elastic heat-conducting solid, based on the
reconstruction of heat sources which model the impact and frictional interaction of the crack
surfaces under external harmonic mechanical excitation, is presented. The steady-state temperature
field established on the material boundary after maintaining the excitation for a long enough time
provides the necessary input for the reconstruction procedure. With the use of the reciprocity
functional, the problem of identifying the parameters of the plane on which the cracks are located
is reduced to the solution of transcendental equations. The planar case is studied in more details,
and results of the computational experiments are discussed. |
| References |
| 1. | V. Z. Parton and V. G. Boriskovskii, Dynamics of Brittle Fracture
[in Russian], Mashinostroenie, Moscow, 1988. |
| 2. | T. Bannour, A. Ben Abda, and M. Jaouo, "A semi-explicit algorithm for the reconstruction
of 3D planar cracks," Inverse Problems, Vol. 13, No. 4, pp. 899-917, 1997. |
| 3. | C. J. S. Alves and T. Ha Duong, "On inverse scattering by screens,"
Inverse Problems, Vol. 13, No. 5, pp. 1161-1176, 1997. |
| 4. | A. O. Vatul'yan and A. N. Solov'ev, "Determination of planar crack
orientation in an elastic solid," Teoret. Prikl. Mekhanika, No. 37,
pp. 141-145, 2003. |
| 5. | A. O. Vatul'yan, "On the determination of the crack configuration
in an anisotropic solid," PMM [Applied Mathematics and Mechanics], Vol. 68, No. 1, pp. 180-188, 2004. |
| 6. | I. N. Ermolov, Yu. V. Lange, and V. G. Shcherbinskii, "Progress in
ultrasonic control. Proc. of 15th Int. Conference. 1. New methods and
equipment," in Control. Diagnostics [in Russian], No. 3, 2002. |
| 7. | A. V. Kovalev, "Diagnostic tools based on the introscopy method," in
Acoustic Diagnostic Systems. Special Equipment [in Russian], No. 2, 2000
(http://st.ess.ru/publications/articles/kovalev4/kovalev.htm). |
| 8. | R. V. Goldstein and M. N. Perel'muter, Crack on the Interface Between
Materials with Non-linear Interaction of Crack Surfaces. Preprint
No. 619 [in Russian], In-t Problem Mekhaniki RAN , Moscow, 1998. |
| 9. | V. M. Alexandrov and M. I. Chebakov, Analytical Methods in Contact
Problems of Elasticity [in Russian], Fizmatlit, Moscow, 2004. |
| 10. | V. V. Zozulya and A. V. Men'shikov, "On a 3D contact problem of
fracture mechanics in the case of normal action of tension-compression wave,"
Intern. Appl. Mech., V. 38, No. 7, pp. 74-78, 2002. |
| 11. | V. V. Zozulya and A. V. Men'shikov, "Contact of the surfaces of a
planar elliptic crack subjected to an incident harmonic tension-compression
wave," Teoret. Prikl. Mekhanika, No. 37, pp. 168-172, 2003. |
| 12. | A. O. Vatul'yan and A. N. Solov'ev, "On the flaw detection
in a composite solid," Defectoskopiya, Vol. 5, pp. 15-23, 2004. |
| 13. | A. N. Solov'ev, "Identification of interfacial cracks," Modern
Issues of Continuum Mechanics. Proc. 8th Int. Conference. Volume 1 [in Russian],
pp. 163-169, Rostov-on-Don, 2002. |
| 14. | A. O. Vatul'yan and A. N. Solov'ev, "Some semi-implicit algorithms
for interfacial crack reconstruction," Izv. Vuzov. Sev.-Kavk. Region.
Estestv. Nauki, No. 3, pp. 20-24, 2003. |
| 15. | W. Nowacki, Dynamic Problems of Thermoelasticity [Russian
translation], Mir, Moscow, 1970. |
| 16. | A. V. Belokon', V. A. Eremeev, A. V. Nasedkin, and A. N. Solov'ev,
"Block finite element schemes for dynamic problems of
acoustoelectroelasticity," PMM [Applied Mathematics and Mechanics], Vol. 64, No. 3, pp. 381-393, 2000. |
|
| Received |
02 August 2004 |
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