Comparison of cracks criteria MPS, S-Criterion, T-Criterion using a computer program to obtain the angle of fracture propagation

• Autorzy: Roman Kamil Krzysztof , Borek Kinga , Mazur Kamila

Identyfikatory

DOI

10.15199/28.2019.6.5

Warianty tytułu

PL

Porównanie kryteriów MNO, S-Kryterium, T-Kryterium z wykorzystaniem programu komputerowego

• Języki publikacji: EN

Abstrakty

EN

The content of the article assumes the description and comparison of three selected criteria of cracks: MPS, S-Criterion and T-Criterion. The analyses carried out were a simulation of the steel cracking process in a dimensionless tensor space, using the components of a stress tensor. The research concerned the analysis of the slot propagation direction in relation to the adopted angle, taking into account the criterion used. Depending on the criterion used, the analysis assumed taking into account various types of gap loads (KI, KII, KIII), which were responsible for the tearing, longitudinal shear and transverse shear successively. Initial stresses have been properly taken into account and transferred to the Cartesian system depending on the type of deformation used. During the analysis, study will be the angle of displacement fractures α, in considered range to π/2. It was noted that the S-criterion for Flat State of Deformation (FSD), had a straight run, with lift of the angle θ was 6.22, including the tolerance of 0.01. The angle of inclination α, was considered taking into account the angles of 0°, 5°, 10°, 15°, 20°, 25°, 30°, 35°, 40° and 45° for each of the analysed criteria. The methods involves the use a dedicated computer program created in the C++ environment. The computational module of the computer program in the form of matrix equations algorithm, analysed the distribution of tensors of occurring stress. The result values are summarized in tabular form and then presented in the form of a graph. The results are purely theoretical, and therefore a dedicated program, because of its severity may contain errors.

PL

W celu predykcji negatywnego zachowania się materiału wykorzystywanego do różnorakiej produkcji zostały wprowadzone schematy badań polegające na założeniach modeli obliczeniowych. Poszczególne analizy polegają na określeniu kąta, pod którym prawdopodobnie będzie przebiegało pęknięcie materiału. Wykorzystując wyniki analiz, charakteryzujących przebieg naprężeń podczas obciążenia szczeliny, można określić propagację oraz trajektorię pęknięć powierzchni. Uwzględnione kryteria pozwalają w pełni opracować rozwiązania zakładanego problemu.

Słowa kluczowe

EN

fracture criterion; MPS; S-Criterion; T-Criterion; mechanics; stress

PL

kryterium pęknięć; MNO; S-Kryterium; T-Kryterium; mechanika; naprężenia

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Inżynieria Materiałowa
• Rocznik: 2019
• Tom: Vol. 40, nr 6
• Strony: 154--157
• Opis fizyczny: Bibliogr. 11 poz., tab.

Twórcy

autor

Roman Kamil Krzysztof

• Warsaw University of Life Sciences – SGGW, Institute of Wood Sciences and Furniture

autor

Borek Kinga

• Institute of Technology and Life Sciences, Warsaw Branch, Department of Rural Technical Infrastructure Systems

autor

Mazur Kamila

• Institute of Technology and Life Sciences, Warsaw Branch, Department of Rural Technical Infrastructure Systems

Bibliografia

• [1] Roman K., Świętochowski A.: X-ray analysis of biomass wood briquette structure. Agricultural Engineering 20 (10 (2016) 147÷154.
• [2] Cheetham Stock T. A.: The propagation of fracture in mild steel. PhD Thesis, California (1965) 202.
• [3] Wang H. Yi.: Numerical modeling of non-planar hydraulic fracture propagation in brittle and ductile rocks using XFEM with cohesive zone method. Journal of Petroleum Science and Engineering 135 (2015) 127÷140.
• [4] Mirsayar M. M., Park P.: The role of T-stress on kinking angle of interface cracks. Materials & Design 80 (2015) 12÷19.
• [5] Harlow D. G.: Reliability modelling based on fatigue fracture growth. Journal: International Journal of Mathematical Education in Science and Technology 27 (3) (1996) 447÷454.
• [6] Razavi S. M. J., Berto F.: A new fixture for fracture tests under mixed mode I/II/III loading. Fatigue & Fracture of Engineering Materials & Structures 42 (9) (2019) 1874÷1888.
• [7] Khanghahi S. H., Tortum A.: Determination of the optimum conditions for gilsonite and glass fiber in HMA under mixed mode I/III loading in fracture tests. Journal of Materials in Civil Engineering 30 (7) (2018) 04018130.
• [8] Gdoutos E. E.: Fracture mechanics criteria and applications. Kluwer Academic Publishers (1990) 16÷17.
• [9] Mróz K. P.: Propagation of the fatigue gap in the biomaterial: mathematical model and numerical solution. PhD thesis, IPPT PAN (2008) 22, 94, 98.
• [10] Meguid S. A.: Engineering fracture mechanics. Department of Mechanical Engineering 7, Springer (1989) ISBN 1851662820, s. 398.
• [11] Wnuk M. P.: Fundamentals of fracture mechanics. University scripts. AGH–University of Science and Technology (1977) 84÷85.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).