 | | 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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| V. A. Peleshko, "Utilization of a damage surface for the description of creep and long-term strength in the case of complex loading," Mech. Solids. 38 (2), 101-112 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
101-112 |
| Title |
Utilization of a damage surface for the description of creep and long-term strength in the case of complex loading |
| Author(s) |
V. A. Peleshko (Moscow) |
| Abstract |
Constitutive relations are proposed for media with initially isotropic creep and anisotropic
damage accounted for by to the dependence of the fracture criterion
parameter on the form of the stress state under simple loading and the
inhomogeneity of damage accumulation in different physical directions
under complex loading. Each direction in the vector space of stresses is
associated with its own damage. Its increment is equal to the increment of
scalar damage multiplied by the value of a material function of the angle
between the said direction and the vector of stresses acting at a given
instant. The set of simultaneous damage values in all directions of the
stress space forms a surface of anisotropic damage. The value of damage in
the direction of the vector of stresses acting at the current instant is
adopted as the damage measure. This value determines creep acceleration as
the instant of fracture is approached and also the condition of its
realization. The efficiency of the model is demonstrated by means of
comparison with experimental and theoretical results found from literature
(works of Murakami and Delobelle with coauthors) on creep and long-term
strength of copper at 250C° and stainless steel at 600C° under joint action of constant tension and alternating torsion. |
| References |
| 1. | L. M. Kachanov, "On creep fracture time," Izv. AN SSSR. OTN,
No. 8, pp. 26-31, 1958. |
| 2. | Yu. N. Rabotnov,
"On the mechanism of long-term fracture," in
Problems of Strength of Materials and Structures [in Russian], pp. 5-7, Izd-vo
AN SSSR, Moscow, 1959. |
| 3. | A. A. Il'yushin,
"On a theory of long-term strength,"
Inzh. Zh. MTT, No. 3, pp. 21-35, 1967. |
| 4. | S. Murakami and N. Ohno,
"A continuum theory of creep and creep damage," in Creep in Structures,
pp. 422-444, Springer-Verlag, Berlin, 1981. |
| 5. | F. A. Leckie and E. T. Onat,
"Tensorial nature of damage measuring internal variables," in
Physical Non-linearities in Structural Analysis, pp. 140-155,
Springer-Verlag, Berlin, 1981. |
| 6. | V. I. Astaf'ev,
"A description of the creep fracture process,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 4, pp. 164-169, 1986. |
| 7. | D. R. Hayhurst, W. A. Trampczynski, and F. A. Leckie,
"Creep rupture under non-proportional loading,"
Acta Metal., Vol. 28, No. 9, pp. 1171-1183, 1980. |
| 8. | M. D. Dacheva, S. A. Shesterikov, and M. A. Yumashev,
"Damage under complex nonstationary stress state,"
Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 44-47, 1998. |
| 9. | D. R. Hayhurst, "Creep rupture under multi-axial state of stress,"
J. Mech. Phys. Solids, Vol. 20, No. 6, pp. 381-390, 1972. |
| 10. | A. A. Il'yushin, Plasticity [in Russian], Izd-vo AN SSSR, Moscow, 1963. |
| 11. | W. A. Trampczynski, D. R. Hayhurst, and F. A. Leckie,
"Creep rupture of copper and aluminum under non-proportional loading,"
J. Mech. Phys. Solids, Vol. 29, No. 5/6, pp. 353-374, 1981. |
| 12. | S. Murakami and Y. Sanomura,
"Creep and creep damage of copper under multiaxial states of stress,"
in Plasticity Today, pp. 535-551, Pergamon Press, London, 1985. |
| 13. | S. Murakami, Y. Sanomura, and K. Saitoh,
"Formulation of cross-hardening in creep and its effect on the creep damage
process of copper," Trans. ASME. J. Engng. Mater. Technol., Vol. 108, No. 2,
pp. 167-173, 1986. |
| 14. | A. E. Johnson, J. Henderson, and V. D. Mathur,
"Combined stress creep fracture of a commercial copper at 250°C,"
The Engineer, Vol. 202, No. 5248, pp. 261-265; No. 5249, pp. 299-301, 1956. |
| 15. | D. L. Bykov and D. N. Konovalov,
"Determination of material functions in the nonlinear
theory of thermoviscoelasticity using its hierarchical
structure," Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 189-205, 1999. |
| 16. | F. Trivaudey and P. Delobelle,
"High temperature creep damage under biaxial loading,"
Trans. ASME. J. Engng. Mater. Technol., Vol. 112, No. 4, pp. 442-455, 1990. |
| 17. | Y. Ogashi, M. Kawai, and T. Momose,
"Effects of prior plasticity on subsequent creep of type 316
stainless steel at elevated temperature,"
Trans. ASME. J. Engng. Mater. Technol., Vol. 186, No. 1, pp. 68-74, 1986. |
| 18. | Z. Mroz and W. A. Trampczynski,
"On the creep-hardening rule for metals with a memory of maximal
pre-stress," Intern. J. Solids Struct., Vol. 20, No. 5, pp. 467-486, 1984. |
| 19. | V. A. Peleshko,
"Deformational plasticity theory of deformationally anisotropic bodies,"
Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 68-78, 1996. |
| 20. | P. A. Pavlov,
Principles of Fatigue and Long-Term Strength Design of Machines[in Russian],
Mashinostroenie, Leningrad, 1988. |
| 21. | V. M. Mikhalevich,
"Tensor models of long-term strength,"
Problemy Prochn., No. 8, pp. 76-90, 1995; No. 9, pp. 67-79, 1995;
No. 3, pp. 101-112, 1996. |
| 22. | D. R. Hayhurst and B. Storakers,
"Creep rupture of the Andrade shear disk,"
Proc. Roy. Soc., London, Ser. A., Vol. 349, No. 1658, pp. 369-382, 1976. |
| 23. | D. L. Bykov,
"On the models damage in filled polymer materials,"
Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 19-28, 1998. |
|
| Received |
21 January 2001 |
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