Dynamics of Stochastic Damage Evolution
Source abstract
Abstract
Characteristic features of damage accumulation under arbitrary stochastic conditions are studied in terms of continuum damage mechanics (CDM). A uniaxial tension case is chosen for a simplicity of discussion and clearness of results' interpretations. Modification for a kinetic equation of damage evolution for stochastic conditions is proposed. Numerical algorithms for three types of stochasticity—(a) additional noise (fluctuations in external load), (b) inner noise (as result of the non-uniform evolution of ensembles of micro-defects) and (c) combination of previous two factors—are obtained. Introduction of a local failure criterion via a threshold damage concentration allows the time-to-fracture distributions and their change with the noise intensity to be analyzed.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Probabilistic and Robust Engineering Design · Structural Response to Dynamic Loads · High-Velocity Impact and Material Behavior
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Lehrstuhl A für Mechanik, TU München, Boltzmannstr. 15, D-85748 Garching, Germany,
References (30)
Show source-provided references
1. Betekhtin, V. I. , O. B. Naimark and V. V. Silberschmidt. 1989. In: K. Salama, K. R. Chandar, eds. Advances in Fracture Research. Proc. 7th Int. Conf Fracture (ICF-7), Houston. Oxford: Pergamon Press, 6:38-45.
2. 10.1115/1.317366110.1115/1.3173661 ↗
3. 10.1016/0013-7944(95)00002-D10.1016/0013-7944(95)00002-D ↗
4. 10.1007/978-3-642-82419-710.1007/978-3-642-82419-7 ↗
5. Galyarov, V. L. · Phys. Solid State · 1984 · 36 · 1124
6. 10.1007/978-3-662-02377-810.1007/978-3-662-02377-8 ↗
7. 10.1209/0295-5075/13/4/00910.1209/0295-5075/13/4/009 ↗
8. 10.1016/0020-7683(94)90112-010.1016/0020-7683(94)90112-0 ↗
9. Kachanov, L. M. · Izv. Akad Nauk S.S.S.R. Otd. Tech. Nauk. · 1958 · 8 · 26
10. Kachanov, L. M. · 1992
11. 10.1007/978-3-662-12616-510.1007/978-3-662-12616-5 ↗
12. 10.1016/0167-6636(89)90011-210.1016/0167-6636(89)90011-2 ↗
13. 10.1017/CBO978113916797010.1017/CBO9781139167970 ↗
14. Lesne, P.-M. · Rech. Aerosp. · 1993 · 2 · 23
15. 10.1016/0020-7683(93)90158-410.1016/0020-7683(93)90158-4 ↗
16. 10.1007/BF0284602810.1007/BF02846028 ↗
17. 10.1007/978-94-015-8455-510.1007/978-94-015-8455-5 ↗
18. Naimark, O. B. · Europ. J. Mech. A/Solids · 1991 · 10 · 607
19. Pineau, A. 1995. In: A. Bakker, ed. Mechanical Behaviour of Materials. Delft: Delft University Press, pp. 1-22.
20. Platen, E. · Prob. Math. Statist. · 1982 · 3 · 37
21. 10.1007/978-3-642-61544-310.1007/978-3-642-61544-3 ↗
22. Silberschmidt, V. V. 1993a. In: A. G. Pasamehmetoglu, T. Kawamoto, B. N. Whittaker, O. Ayden. eds. Assessment and Prevention of Failure Phenomena in Rock Engineering. Rotterdam/Brookfield: A. A. Balkema, pp. 143-148.
23. Silberschmidt, V. V. 1993b. In: MECAMA T93. International Seminar on Micromechanics of Materials, Moret-sur-Loing, 6-8 July, 1993. Paris: Editions Eyrolles, pp. 72-82.
24. Silberschmidt, V. V. 1995. In: A. Bakker, ed. Book of Abstracts. 7th Int. Conf on Mechanical Behavior of Materials. Delft: Delft University Press, pp. 397-398.
25. 10.1016/0013-7944(94)90128-710.1016/0013-7944(94)90128-7 ↗
26. 10.1177/10567895940030010310.1177/105678959400300103 ↗
27. 10.1007/978-3-662-07304-9_410.1007/978-3-662-07304-9_4 ↗
28. 10.1007/s00531005005810.1007/s005310050058 ↗
29. Van Kampen, N. G. · 1992
30. 10.1016/0020-7683(92)90149-N10.1016/0020-7683(92)90149-N ↗