Influence of material microstructure on fracture development in deformable bodies
| Назва | Influence of material microstructure on fracture development in deformable bodies |
| Назва англійською | Influence of material microstructure on fracture development in deformable bodies |
| Автори | Roman Hromyak, Volodymyr Hotovych, Halyna Kozbur |
| Принадлежність | Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine |
| Бібліографічний опис | Influence of material microstructure on fracture development in deformable bodies / Roman Hromyak, Volodymyr Hotovych, Halyna Kozbur // Scientific Journal of TNTU. — Tern.: TNTU, 2024. — Vol 114. — No 2. — P. 100–110. |
| Bibliographic description: | Hromyak R., Hotovych V., Kozbur H. (2024) Influence of material microstructure on fracture development in deformable bodies. Scientific Journal of TNTU (Tern.), vol 114, no 2, pp. 100–110. |
| УДК | 539.4 |
| Ключові слова | Strength, macrostress theory, crack propagation resistance in the material (Κ1с), macrostress concentration coefficient Κм, average technical strength of the material (σв), Poisson's ratio (ν), structural parameter (ρ) and crack (defect) length (2l). |
The problem of predicting the location and direction of local fracture and estimating the ultimate load of composite material is one of the practically important problems of fracture mechanics. With a wide variety of composite materials, it is natural to expect the presence of a large number of failure criteria, each of which should be valid for a certain class of materials and reflect most completely its physical and mechanical properties, structural defects, operating conditions, etc. The choice of effective assessment of the bearing capacity of modern composite material under extreme conditions is at present the main task of researchers. In this paper, the criterion of fracture of composite materials based on simple and quite effective theory of macrostresses by M.Ya. Leonov and K.M. Rusynka is preferred. The macrostress theory effectiveness is shown in the papers by V.V. Panasiuk, L.T. Berezhnytskyi, S.Ya. Yarema, L.V. Ratych, and M.H. Stashchuk. In our paper, we clarify and extend the advantages of macrostress concept criterion in comparison with other fracture criteria in deformable bodies. Examples of crack propagation in the process of body tension are given in this paper. | |
| ISSN: | 2522-4433 |
| Перелік літератури |
1. Leonov M. Ya. Osnovy mekhanyky upruhoho tela. Frunze: Yzd. AN Kyrh. SSR, 1963. 328 p.
2. Leonov M. Ya., Rusynko K. M. Do makroekonomichnoi teorii krykhkoho ruinuvannia. Dop. AN URSR, 1961, no. 12, p. 1582–1586.
3. Leonov M. Ya., Rusynko K. M. Makronapriazhenyia upruhoho tela. Prykl. mat. y tekhn. Fyz, 1963, no. 1, p. 104–110.
4. Ratych L. V. Ob opredelenyy efektyvnykh koefytsyentov kontsentratsyy, Prykl. Mekhanyka, 1965, 1, no. 3, p. 317–325.
5. Yarema S. Ya., Ratych L. V. Vlyianye mykroneodnorodnostei struktury materyala na prochnostpolos s hyppebolycheskymy vyrezamy, Fyz.-khym. mekhanyka materyalov, 1965, 1, no. 3, p. 317–325.
6. Hromiak R. S., Nemish V. M. Vyznachennia strukturnoho parametra ρ dlia riadu konstruktsiinykh materialiv, Visnyk TNTU, no. 4 (112), 2023, p. 67–72. Available at: https://doi.org/10.33108/visnyk_tntu-2023.04.
7. Panasiuk V. V., Berezhnytskyi L. T., Hromiak R. S. Pro vplyv strukturymaterialu na poshyrennia trishchyn
v protsesi roztiahu tila, Dop. AN URSR, 1976, Ser. A, no. 9, p. 811–816.
8. Berezhnytskyi L. T., Ratych L. V., Hromiak R. S. Sviaz lokalnoho razrushenyia vblyzy treshchyn so
strukturoi. Tezysy dokladov Vsesoiuznoi nauchno-tekhnycheskoi konferentsyy “Struktura y prochnost
staly y splavov”, Kyev, 1976, p. 41–43.
9. Muskhelyshvyly N. Y. Nekotorye zadachy matematycheskoi teoryy upruhosty. M.: Nauka, 1965, 708 p.
10. Panasiuk V. V., Berezhnytskyi L. T. Vyznachennia hranychnykh zusyl pry dvokhstoronnomu roztiahu
plastyny z dovilno oriientovanoiu trishchynoiu, Dop. AN URSR, 1965, no. 1, p. 36–40.
11. Panasiuk V. V., Berezhnytskyi L. T. Opredelenye predelnykh usylyi pry rastiazhenyy plastyny s duhoobraznoi treshchynoi. V sb.: Voprosy mekhanyky realnoho tvedoho tela, vyp. 3, Kyev, Nauk. Dumka, 1964, p. 3–19.
12. Erdohan, Sy. O razvytyy treshchyn v plastynakh pod deistvyem prodolnoi y poperechnoi nahruzok. Tr. amper. o-va ynzh.-mekhanykov. Ser. D. Tekhnycheskaia mekhanyka, 1963, 85, no. 4, p. 49–59.
13. Panasiuk V. V., Berezhnytskyi L. T., Kovchyk S. E. O razvytyy proyzvolno oryentyrovannoi treshchyny pry rasiazhenyy plastyn, Prykl. Mekhanyka, 1965, I, no. 2, p. 48–55.
14. Finnie T., Saith A. A note on the angled crack problem and the directional stability of cracks, Int. J. Fract, 1973, 9, no. 4, p. 533–547.
15. Williams J. G., Edwing P. D. Fracture under complex stress – the angle crack problem, Int. J. Fract. Mech, 1972, 8, no. 4, p. 441–446.
16. Berezhnytskyi L. T., Hromiak R. S. K otsenke predelnoho sostoianyia matrytsy v okresnosty ostrokonechnoho zhestkoho ostrokonechnoho vkliuchenyia, Fyz.-khym. mekhanyka materyalov, 1977, 13, no. 2, p. 39–47.
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| References: |
1. Leonov M. Ya. Osnovy mekhanyky upruhoho tela. Frunze: Yzd. AN Kyrh. SSR, 1963. 328 p.
2. Leonov M. Ya., Rusynko K. M. Do makroekonomichnoi teorii krykhkoho ruinuvannia. Dop. AN URSR, 1961, no. 12, p. 1582–1586.
3. Leonov M. Ya., Rusynko K. M. Makronapriazhenyia upruhoho tela. Prykl. mat. y tekhn. Fyz, 1963, no. 1, p. 104–110.
4. Ratych L. V. Ob opredelenyy efektyvnykh koefytsyentov kontsentratsyy, Prykl. Mekhanyka, 1965, 1, no. 3, p. 317–325.
5. Yarema S. Ya., Ratych L. V. Vlyianye mykroneodnorodnostei struktury materyala na prochnostpolos s hyppebolycheskymy vyrezamy, Fyz.-khym. mekhanyka materyalov, 1965, 1, no. 3, p. 317–325.
6. Hromiak R. S., Nemish V. M. Vyznachennia strukturnoho parametra ρ dlia riadu konstruktsiinykh materialiv, Visnyk TNTU, no. 4 (112), 2023, p. 67–72. Available at: https://doi.org/10.33108/visnyk_tntu-2023.04.
7. Panasiuk V. V., Berezhnytskyi L. T., Hromiak R. S. Pro vplyv strukturymaterialu na poshyrennia trishchyn
v protsesi roztiahu tila, Dop. AN URSR, 1976, Ser. A, no. 9, p. 811–816.
8. Berezhnytskyi L. T., Ratych L. V., Hromiak R. S. Sviaz lokalnoho razrushenyia vblyzy treshchyn so
strukturoi. Tezysy dokladov Vsesoiuznoi nauchno-tekhnycheskoi konferentsyy “Struktura y prochnost
staly y splavov”, Kyev, 1976, p. 41–43.
9. Muskhelyshvyly N. Y. Nekotorye zadachy matematycheskoi teoryy upruhosty. M.: Nauka, 1965, 708 p.
10. Panasiuk V. V., Berezhnytskyi L. T. Vyznachennia hranychnykh zusyl pry dvokhstoronnomu roztiahu
plastyny z dovilno oriientovanoiu trishchynoiu, Dop. AN URSR, 1965, no. 1, p. 36–40.
11. Panasiuk V. V., Berezhnytskyi L. T. Opredelenye predelnykh usylyi pry rastiazhenyy plastyny s duhoobraznoi treshchynoi. V sb.: Voprosy mekhanyky realnoho tvedoho tela, vyp. 3, Kyev, Nauk. Dumka, 1964, p. 3–19.
12. Erdohan, Sy. O razvytyy treshchyn v plastynakh pod deistvyem prodolnoi y poperechnoi nahruzok. Tr. amper. o-va ynzh.-mekhanykov. Ser. D. Tekhnycheskaia mekhanyka, 1963, 85, no. 4, p. 49–59.
13. Panasiuk V. V., Berezhnytskyi L. T., Kovchyk S. E. O razvytyy proyzvolno oryentyrovannoi treshchyny pry rasiazhenyy plastyn, Prykl. Mekhanyka, 1965, I, no. 2, p. 48–55.
14. Finnie T., Saith A. A note on the angled crack problem and the directional stability of cracks, Int. J. Fract, 1973, 9, no. 4, p. 533–547.
15. Williams J. G., Edwing P. D. Fracture under complex stress – the angle crack problem, Int. J. Fract. Mech, 1972, 8, no. 4, p. 441–446.
16. Berezhnytskyi L. T., Hromiak R. S. K otsenke predelnoho sostoianyia matrytsy v okresnosty ostrokonechnoho zhestkoho ostrokonechnoho vkliuchenyia, Fyz.-khym. mekhanyka materyalov, 1977, 13, no. 2, p. 39–47.
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