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Effect of micro-cracks in nonhomogeneous stress field on fracture instability in structural components

Center of Advanced Innovation Technologies VŠB-Technical University of Ostrava, 17. listopadu 15, 708 00 Ostrava-Poruba, Czech Republic

Special Issues: Interaction of Multiple Cracks in Materials -Volume 1

The paper analyses the effects of statistical distribution in sizes of micro-cracks on scatter of fracture toughness of steels under brittle conditions. The results are utilized for reliability assessment of selected functional parts. The reliability considered as a complementary probability of brittle fracture initiation is discussed in dependence on the character of statistical distribution of micro-crack sizes, mechanical properties of steel, mechanisms of energy dissipation during cracks propagation, variation of loading, stress state of functional part and its service life. This probability approach is compared with deterministic reliability access originating from computation of safety factor. Its rational evaluation as a function of acceptable probability of fracture instability provides high economical effects saving materials and energy.
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1. Curry DA, Knott JF (1978) Effect of microstructure on cleavage fracture stress in steel. Metal Sci 12: 511–515.

2. Lee S, Kim S, Hwang B, et al. (2002) Effect of carbide distribution on the fracture toughness in the transition temperature region of an SA 508 steel. Acta Mater 50: 4755–4762.

3. Wang GZ, Lin YG, Chen JH (2002) Investigation of cleavage fracture initiation in notched specimens of a C-Mn steel with carbides and inclusions. Mat Sci Eng A 369: 181–191.

4. Hahn GT (1984) The influence of microstructure on brittle fracture toughness. Metall Mater TransA 15: 947–959.

5. Curry DA, Knott JF (1979) Effect of microstructure on cleavage fracture toughness of quenched and tempered steels. Metal Sci 13: 341–345.    

6. Ghosh A, Ray A, Chakrabarti D, et al. (2013) Cleavage initiation in steel: Competition between large grains and large particles. Mat Sci Eng A 561: 126–135.

7. Wu S, Jin H, Sun Y, et al. (2014) Critical cleavage fracture stress characterization of A508 nuclear pressure vessel steels. Int J Pres Ves Pip 123-124: 92–98.

8. Evans AG (1983) Statistical aspects of cleavage fracture in steel. Metall Mater TransA 14: 1349–1355.    

9. Beremin FM (1983) A local criterion for cleavage fracture of nuclear pressure vessel steel. Metall Mater TransA 14: 2277–2287.

10. Wallin K, Saario T, Toronen K (1984) Statistical model for carbide induced brittle fracture in steel. Metal Sci 18: 13–16.

11. Lin T, Evans AG, Ritchie RO (1987) Stochastic modeling of the independent roles of particle size and grain size in transgranular cleavage fracture. Metall Mater TransA 18: 641–651.

12. Strnadel B, Nedbal I, Prioul C, et al. (2002) Statistical aspects of brittle fracture in low-alloyed steels. JSME Int J 45: 319–326.    

13. Lei WS (2016) On the statistical modeling of cleavage fracture toughness of structural steels. Mech Mater 101: 81–92.

14. Strnadel B, Mazanec K (1991) The characteristic distance of spheroidized steels. Eng Fract Mech 40: 493–497.    

15. Hutchinson JW (1968) Singular behaviour at the end of the tensile crack in a hardening material. J Mech Phys Solids 16: 13–31.    

16. Williams ML (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech 74: 526–528.

17. Duffy SF, Janosik LA (1997) Design with brittle materials. ASM Handbook 20: 622–638.

Copyright Info: © 2016, Bohumir Strnadel, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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