CRACK PROPAGATION AND ARREST IN AN ORTHOTROPIC MATERIAL USING AN ELLIPTIC STOP HOLE
DOI:
https://doi.org/10.60787/jnamp.v67i2.372Keywords:
Crack arrest, Orthotropic material, Stress intensity factor, Displacement field, Elliptical stop holeAbstract
In this paper, we investigated the influence of elliptical stop hole on mode-III deformation behavior of a semi-infinite crack in a homogeneous, elastic orthotropic material subjected to antiplane loading. To make the problem perceptive to analysis within the realm of two-dimensional classical theory of elasticity, we made use of Galilean transformation to convert the governing wave equation to Laplace equation which is time independent. By employing conformal mapping and integral transformation techniques, a solution of the displacement is obtained leading to closed form expression for mode III stress intensity factor. The results obtained shows that the elliptical stop hole is a veritable means of arresting crack propagation.
Downloads
References
Broberg, K.B. ( 1999): Cracks and Fracture. Cambridge University press, Great Britain, 1st ed.
Murdani, A , Makabe, C., Saimoto, A , Irei ,Y and Miyazaki ,T. (2008): Stress concentration at stop-drilled holes and additional holes. Engineering Fracture analysis. 15:810-819, DOI:10
Wu, H, Imad ,A., Benseddiq, N., Castro , J.T.P, Meggiolaro, M.A. (2010) : On the prediction of the residual fatigue life of cracked structures repaired by the stop-hole method, International Journal of Fatigue, 32: 670-677
Shkarayer, S. (2003): Theoretical modeling of crack arrest by inserting interference-fit fastener. International Journal of Fatigue ,25:317–24
Vulic, N. , Jecic´ ,S and Grubišic´.V.(1997) : Validation of crack arrest technique by numerical
modeling. Int J Fatigue ,19(4):283–291
Goto, M Miyagawa, H and Nisitani .N. (1996): Crack growth arresting property of a hole and Brinell-type dimple. Fatigue Fract Engng Mater Structure,19(1):39–49
Shin, C.S Wang, C.M and Song ,P.S(1996): Fatigue damage repair: a comparison of some possible methods. International Journal of Fatigue ,18:535–46
Nishimura, T. (2005): Experimental and numerical evaluation of crack arresting capability due to a dimple. Trans ASME:127-131
Song, P.S and Shieh, Y.L. (2004). Stop hole drilling procedure for fatigue life improvement. international journal of fatigue,26:1333-1339.
Makabe, C ., Murdani ,A. , Kuniyoshi ,K., Yoshiki ,I and Saimoto, A. (2015): Crack-growth arrest by redirecting crack growth by drilling stop holes and inserting pins into them. Engineering Failure Analysis,16:475-483
Ayatollahi ,M.R., Razavi ,R., Chamani, H.R. (2014): Fatigue life extension by crack repair using stop hole technique under pure mode-1 and mode-11 loading conditions. International Colloquium on Mechanical Fatigue of Metals (ICMFM17),74:18-21
Matsumoto,R Ishikawa , T., Hattori,A, Kawano,H. and Yamada,K.(2013) : Reduction of stress concentration at edge of stop hole by closing crack surface. Journal of the society of material science,62(1):33-38
Fanni,M., Fouda, N.,Shabara ,M.A.N. and Awad, M (2015): New crack stop hole shape using structural optimizing technique. Ain Shams Engineering Journal,6:987-999
Nian,Z.C. (2016) A Stop-Hole Method for Marine and Offshore Structures. International Journal of Fatigue, 52:670-698
Kim,W.B. (2018): Effect of stop hole on stress intensity factor in crack propagation path. AIP conference proceedings ,1973:020033-6
Nnadi, J.N. (2004). On the sum of certain convergent series associated with the beta function. International journal of mathematical education in science and technology,35:897-902
Downloads
Published
Issue
Section
License
Copyright (c) 2024 The Journals of the Nigerian Association of Mathematical Physics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.