An effective crack tip region finite element sub-model for fracture mechanics analysis

• Autorzy: Lenkovskiy T. M. , Kulyk V. V. , Duriagina Z. A. , Kovalchuk R. A. , Topilnytskyy V. G , Vira V. V. , Tepla T. L. , Bilash O. V. , Lishchynska K. I.

Identyfikatory

DOI

10.5604/01.3001.0010.7446

• Języki publikacji: EN

Abstrakty

EN

Purpose: To create an effective in engineering strength calculation three-dimensional submodel of the near crack tip region in solids for hi-fidelity analysis of their stress-strain state by the finite element method. Design/methodology/approach: To create a volume near the crack tip, regular threedimensional 20-node prismatic isoparametric elements and 15-node special elements with edge length of 12.5 μm with shifted nodes in order to simulate the singularity of stress at the crack tip were used. Using these two types of elements, a cylindrical fragment of diameter of 100 μm was built. In its base is a 16-vertex polygon, and its axis is the crack front line. In the radial direction the size of the elements was smoothly enlarged by creating of 5 circular layers of elements, and in the axial direction 8 layers were created. For convenience of the sub-model usage, the cylindrical fragment was completed by regular elements to a cubic form with edge size 400 μm. For the sub-model approbation, the full-scale three-dimensional models of standard specimens with cracks were built. The stress intensity factor K at normal tension was calculated assuming small scale yielding conditions in a plane between 4th and 5th layers of special elements on the basis of analysis of displacement fields near the crack tip. Findings: An effective three-dimensional sub-model of the near crack tip region is proposed. The sub-model was used to obtain the dependence of the stress intensity factor on the relative crack length at normal tension for four types of standard specimens. The obtained dependences show excellent correlation with known analytical solutions. Research limitations/implications: The concept of finite element meshing at threedimensional modelling of the near crack tip region for high-fidelity stress-strain state analysis was generalized. A sub-model of the near crack tip region was created and used to determine the stress intensity factor at normal tension of four types of standard specimens. It is shown that the proposed methodology is effective for precise analysis of the stressstrain state of solids with cracks within the framework of linear fracture mechanics. Practical implications: By applying the generalized approach and the proposed threedimensional sub-model of the near crack tip region, one can determine the stress-strain state of structure elements and machine parts when analysing their workability by the finite element method. Originality/value: An effective finite-element sub-model for the stress-strain state analysis in the vicinity of the crack tip within the framework of the linear fracture mechanics is proposed.

Słowa kluczowe

EN

stress intensity factor; linear fracture mechanics; finite element sub-model; crack tip region

PL

współczynnik natężenia naprężenia; liniowa mechanika pękania

• Wydawca: International OCSCO World Press
• Czasopismo: Archives of Materials Science and Engineering
• Rocznik: 2017
• Tom: Vol. 87, nr 2
• Strony: 56--65
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Lenkovskiy T. M.

• Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, 5 Naukova St., Lviv 79060, Ukraine

autor

Kulyk V. V.

• Lviv Polytechnic National University, 12 Bandera St., Lviv, 79013, Ukraine

autor

Duriagina Z. A.

• Lviv Polytechnic National University, 12 Bandera St., Lviv, 79013, Ukraine
• Katolicki Uniwersytet Lubelski Jana Pawła II, Al. Racławickie 14, 20-950 Lublin, Poland

autor

Kovalchuk R. A.

• Hetman Petro Sahaidachnyi National Army Academy, 32 Heroes of Maidan St., Lviv, 79012, Ukraine

autor

Topilnytskyy V. G

• Lviv Polytechnic National University, 12 Bandera St., Lviv, 79013, Ukraine

autor

Vira V. V.

• Lviv Polytechnic National University, 12 Bandera St., Lviv, 79013, Ukraine

autor

Tepla T. L.

• Lviv Polytechnic National University, 12 Bandera St., Lviv, 79013, Ukraine

autor

Bilash O. V.

• Hetman Petro Sahaidachnyi National Army Academy, 32 Heroes of Maidan St., Lviv, 79012, Ukraine

autor

Lishchynska K. I.

• Hetman Petro Sahaidachnyi National Army Academy, 32 Heroes of Maidan St., Lviv, 79012, Ukraine

Bibliografia

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Uwagi

PL

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