Comparison of analytical and the FEM method for deriving the Mode I stress intensity factor of thin-walled beams containing a crack

• Autorzy: Djoković J. M. , Vulović S. D. , Nikolić R. R. , Živković M. M. , Bujnak J.
• Języki publikacji: EN

Abstrakty

EN

The problem considered in this paper is of the cracked thin-walled beams. They are subjected to combined loading by the bending moment and the axial force. The profiles with the I (H), T and U cross-sections were analyzed. The analytical method is based on application of classical expressions for Mode I SIF of such beams with taking into account the cross sections' warping. The classical expressions for SIF for the thin plate are adapted by including the reduced forces and moments characteristic for the thin-walled beams. The numerical simulation for calculating the stress intensity factor of the cracked thin-walled beams consisted of application of the Finite Element Method (FEM) by use of the J-EDI method. It is found that the Mode I SIF of cracked thin-walled beams increases with crack length increase. The conducted comparison of results obtained by application of the two methods confirms the validity of the proposed analytical expressions only for the small crack lengths.

Słowa kluczowe

EN

cracked thin-walled beams; modeI SIF; cross-section warping; FEM; J-EDI

PL

belka cienkościenna; modeI SIF; współczynnik intensywności naprężeń; MES; J-EDI

• Wydawca: Komisja Inżynierii Budowlanej Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Roczniki Inżynierii Budowlanej
• Rocznik: 2015
• Tom: z. 15
• Strony: 43--51
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Djoković J. M.

• Technical Faculty of Bor, University of Belgrade, Serbia

autor

Vulović S. D.

• Faculty of Engineering, University of Kragujevac, Serbia

autor

Nikolić R. R.

• Faculty of Engineering, University of Kragujevac, Serbia
• Research Center, University of Žilina, Žilina, Slovakia

autor

Živković M. M.

• Faculty of Engineering, University of Kragujevac, Serbia

autor

Bujnak J.

• Faculty of Civil Engineering, University of Žilina, Žilina, Slovakia
• Faculty of Civil Engineering of Architecture, Opole University of Technology, Opole, Poland

Bibliografia

• [1] Kienzler R., Herrmann G.: An elementary theory of defective beams, Acta Mechanica, 62, 1986, pp. 37-46.
• [2] Herrmann G., Sosa H.: On bars with cracks, Engineering Fracture Mechanics, 24, 1986, pp. 889-94.
• [3] Gao H., Herrmann G.: On estimates of stress intensity factors for cracked beams and pipes, Journal of Engineering Fracture Mechanics, 41, 1992 ,pp. 695-706.
• [4] Müller W.H., Herrmann G., Gao H.: Elementary strength theory of cracked beams. Theoretical and Applied Fracture Mechanics, 18, 1993, pp. 163-77.
• [5] Ricci P., Viola E.: Stress intensity factor for cracked T-sections and dynamic behavior of T-beams, Engineering Fracture Mechanics, 73, 2006, pp. 91-111.
• [6] Tada H., Paris P.C., Irwin G.R.: The stress analysis of crack handbook - Third edition. ASME Press, New York, 2000.
• [7] Živković M., Jovičić G., Kojić M., Slavković R., Grujović N., Vulović S.: Software for computation alfracture mechanics PAK-FM&F, Technical solution, TR 22/2010, Faculty of Mechanical Engineering, Kragujevac, Serbia, 2013.
• [8] Cortinez V.H., Dotti F.E.: Mode I stress intensity factor for cracked thin-walled open beams, Engineering FractureMechanics, 110,2013,pp. 249-257.
• [9] Jovičić G., Živković M., Vulović S.: Computation alfracture mechanics, Faculty of Mechanical Engineering, Kragujevac, 2011.
• [10] Djoković, J. M., Vulović S. D., Nikolić R.R., Bujnak J.: Mode I Stress intensity factor of thin-walled beams, Proc. of The 20th Conference "Static of buildings", ed.by J.Kysel, Pieštany, Slovakia, 2015.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.