 | | 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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| R. V. Goldstein and E. I. Shifrin, "Stress state in an elastic space due to phase transformations in an inclusion," Mech. Solids. 40 (5), 34-47 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
34-47 |
| Title |
Stress state in an elastic space due to phase transformations in an inclusion |
| Author(s) |
R. V. Goldstein (Moscow)
E. I. Shifrin (Moscow) |
| Abstract |
We consider the problem on phase transformations in a domain in an elastic
space manifesting themselves as changes in the shape, size, and elastic
properties of the domain. Using an earlier-developed generalization of the
Eshelby method, we construct integral equations for the stress tensor
components in the inclusion where the phase transformations have occurred. If
the inclusion shape is that of an elliptic cylinder, we obtain closed-form
analytical expressions for the stress tensor components inside and outside
the inclusion. |
| References |
| 1. | N. S. Ling and W. S. Owen, "A model of the thermoelastic growth of
martensite," Acta Metallurg., Vol. 29, No. 10, pp. 1721-1736, 1981. |
| 2. | G. Rauchs, T. Fett, and D. Munz, "Calculation of authocatalytic
phase transformation zones in cracked and uncracked zirconia ceramics,"
Intern. J. Fract., Vol. 116, No. 2, pp. 121-140, 2002. |
| 3. | J. Eshelby, "Determination of the elastic stress field generated
by and ellipsoidal inclusion and related problems," in J. Eshelby,
Continuous Dislocation Theory [Russian translation], pp. 103-139, Izd-vo Inostr. Lit-ry,
Moscow, 1963. |
| 4. | R. J. Asaro, "Somigliana dislocations and internal stresses; with
application to second phase hardening," Intern. J. of Engng. Sci., Vol. 13,
No. 3, pp. 271-286, 1975. |
| 5. | T. Mura, Micromechanics of Defects in Solids, Martinus Nijhoff
Publ., Dordrecht, 1987. |
| 6. | J. Eshelby, "Elastic field outside an ellipsoidal inclusion," in
J. Eshelby, Continuous Dislocation Theory [Russian translation], pp. 140-153, Izd-vo
Inostr. Lit-ry, Moscow, 1963. |
| 7. | R. V. Goldstein and E. I. Shifrin, A Plane Problem on the Stress
State Determined by Phase Transformations in an Elliptic Domain. Preprint
No. 714 [in Russian], In-t Problem Mekhaniki RAN, Moscow, 2003. |
| 8. | R. V. Goldstein and E. I. Shifrin, "Integral equations of the
problem on an elastic inclusion. The complete analytical solution of the
problem on an elliptic inclusion," Izv. AN. MTT [Mechanics of Solids],
No. 1, pp. 50-76, 2004. |
| 9. | D. C. Lagoudas, Z. Bo, and M. A. Qidwai, "A unified thermodynamic
constitutive model for SMA and finite element analysis of active metal
matrix composites," Mech. Compos. Mater. Struct., Vol. 3, pp. 153-179,
1996. |
| 10. | M. A. Qidwai, P. T. Entchev, D. C. Lagoudas, and V. G. DeGiorgi,
"Modeling of the thermomechanical behavior of porous shape memory alloys,"
Intern. J. of Solids and Structures, Vol. 38, pp. 8653-8671, 2001. |
|
| Received |
08 June 2004 |
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