 | | 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
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| V. I. Astaf'ev and L. V. Stepanova, "The far-range asymptotic behavior of the stress field in the problem of crack growth in a creeping damaged medium," Mech. Solids. 40 (2), 121-128 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
2 |
Pages |
121-128 |
| Title |
The far-range asymptotic behavior of the stress field in the problem of crack growth in a creeping damaged medium |
| Author(s) |
V. I. Astaf'ev (Samara)
L. V. Stepanova (Samara) |
| Abstract |
Within the coupled formulation of creep theory and damage mechanics, an
approximate solution describing the growth of an antiplane shear crack is
obtained. The characteristic feature of the crack problems within the
coupled (creep-damage) formulation is the presence of a damage
accumulation region near the crack tip and (or) a region of a completely
damaged material, in which all stress tensor components and the continuity
parameter are equal to zero. Therefore, in addition to the stress-strain
state, the investigation of the geometry of the region mentioned is of
particular interest. The asymptotic expansions for stress tensor
components and the continuity parameter far away from the crack tip are
constructed (the far-range stress field asymptotics are obtained). The
structure of the region of completely damaged material is presented for
various exponents of the power law of creep and the kinetic equation
governing the damage accumulation. |
| References |
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| 2. | V. I. Astaf'ev and T. V. Grigorova, "Stress and damage
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| 3. | V. I. Astaf'ev, Yu. N. Radaev, and L. V. Stepanova, Nonlinear
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|
| Received |
28 August 2003 |
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