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## More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip

Pustaić, Dragan; Lovrenić-Jugović, Martina
More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip // Procedia Structural Integrity, 23 (2019), 27-32 doi:10.1016/j.prostr.2020.01.058 (međunarodna recenzija, članak, znanstveni)

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Naslov
More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip

Autori
Pustaić, Dragan ; Lovrenić-Jugović, Martina

Izvornik
Procedia Structural Integrity (2452-3216) 23 (2019); 27-32

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Elastic Plastic Fracture Mechanics ; Cohesive stress ; Isotropic and non-linear strain hardening material ; Strain hardening exponent ; Plastic zone magnitude around crack tip

Sažetak
The thin infinite central cracked plate, made of ductile metallic material, is observed. The plate is loaded with uniformly distributed continuous loading, according to the Fig. 1a. The small plastic zones around crack tips will appear. It is assumed an isotropic and non- linear strain hardening of a plate material which can be good described by the Ramberg- Osgood equation. The investigations were carried out for the several discrete values of the strain hardening exponent n, i.e. for n = 3, 5, 7, 10, 25, 50 and 1000. The magnitude of plastic zone is investigated on the basis of the premises of the Dugdale´s cohesive model. In the frame of applied cohesive model, the problem is formulated fully exact. The analytical methods were applied. Our intention is to contribute in a more accurate mathematical description of the phenomena occurring within the cohesive zones and to solve the problems, in so called closed-form, without any additional assumptions, as for example, about small plastic zones (SSY), elastic-perfectly plastic material and so on. The commercial software Wolfram Mathematica 7.0 is used and the solutions are presented through the special, the Gamma and the Hypergeometric functions.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo, Zrakoplovstvo, raketna i svemirska tehnika

Napomena
Rad, sa sličnim sadržajem, prethodno je objavljen na međunarodnoj konferenciji "9th International Conference on Materials Structure and Micromechanics of Fracture" koja je od 26. do 28. lipnja 2019. godine održana u Brnu, u Češkoj.

POVEZANOST RADA

Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb,
Metalurški fakultet, Sisak

#### Citiraj ovu publikaciju:

Pustaić, Dragan; Lovrenić-Jugović, Martina
More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip // Procedia Structural Integrity, 23 (2019), 27-32 doi:10.1016/j.prostr.2020.01.058 (međunarodna recenzija, članak, znanstveni)
Pustaić, D. & Lovrenić-Jugović, M. (2019) More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip. Procedia Structural Integrity, 23, 27-32 doi:10.1016/j.prostr.2020.01.058.
@article{article, author = {Pustai\'{c}, Dragan and Lovreni\'{c}-Jugovi\'{c}, Martina}, year = {2019}, pages = {27-32}, DOI = {10.1016/j.prostr.2020.01.058}, keywords = {Elastic Plastic Fracture Mechanics, Cohesive stress, Isotropic and non-linear strain hardening material, Strain hardening exponent, Plastic zone magnitude around crack tip}, journal = {Procedia Structural Integrity}, doi = {10.1016/j.prostr.2020.01.058}, volume = {23}, issn = {2452-3216}, title = {More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip}, keyword = {Elastic Plastic Fracture Mechanics, Cohesive stress, Isotropic and non-linear strain hardening material, Strain hardening exponent, Plastic zone magnitude around crack tip} }
@article{article, author = {Pustai\'{c}, Dragan and Lovreni\'{c}-Jugovi\'{c}, Martina}, year = {2019}, pages = {27-32}, DOI = {10.1016/j.prostr.2020.01.058}, keywords = {Elastic Plastic Fracture Mechanics, Cohesive stress, Isotropic and non-linear strain hardening material, Strain hardening exponent, Plastic zone magnitude around crack tip}, journal = {Procedia Structural Integrity}, doi = {10.1016/j.prostr.2020.01.058}, volume = {23}, issn = {2452-3216}, title = {More accurate mathematical description in the assessment of plastic zone magnitude around the crack tip}, keyword = {Elastic Plastic Fracture Mechanics, Cohesive stress, Isotropic and non-linear strain hardening material, Strain hardening exponent, Plastic zone magnitude around crack tip} }

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