Evaluation of the Mutual Effect of Through Crossing Cracks
Authors: Chernyatin A.S. | Published: 20.11.2015 |
Published in issue: #11(668)/2015 | |
Category: Technology and Process Machines | |
Keywords: crossing cracks, stress intensity factors, T-stresses, biaxial loading ratio, finite element method |
The results of numerical simulation of biaxial stretching of a thin elastic plate with two orthogonally crossing through cracks are presented in the article. Their mutual effect on the strain-stress state near the crack tips was investigated. Singular (stress intensity factors — SIFs) and non-singular (T-stress) components of the stress field in the vicinity of one of the cracks were determined at various relative sizes and positions of the centers of the cracks, as well as parameters of biaxial loading. The calculations were performed using a parametrical finite element model developed by the authors. It was found that the above-mentioned factors have a significate effect on SIFs and T-stresses. The results obtained show that the mutual effect of crossing cracks should be taken into consideration when calculating resistance to brittle fracture.
References
[1] Brust F.W., Zhang T., Shim D.J. Wilkowski G., Rudland D.L. Evaluation of Fabrication Related Indications in Reactor Upper Head Penetrations. Summary Report to U.S. Nuclear Regulatory Commission, Washington, DC, 2011. 72 p.
[2] Sudakov A.V., Ivanov B.N., Kovalev D.N., Kiselev V.A., Arzhaev A.I., Dobrov M.V. Otsenka nesushchei sposobnosti truboprovoda Du300 KMPTs RBMK s kombinirovannym defektom v kol’tsevom svarnom shve na baze kontseptsii «iskliucheniia razrusheniia» [Evaluation of the carrying capacity of the pipeline DN300 MCC RBMK combined defect in the circular weld on the basis of the concept of «exclusion of destruction»]. Trudy OAO «NPO TsKTI», vyp. 293 «Metody povysheniia tekhnicheskogo urovnia i nadezhnosti elementov energooborudovaniia TES i AES» [Proceedings of JSC «NPO CKTI», vol. 293 «Methods of increasing the technical level and reliability of the elements of power equipment thermal and nuclear power plants»]. Sankt-Peterburg, 2004, pp. 247–255.
[3] Meliani H.M., Matvienko Yu.G., Pluvinage G. Two-parameter fracture criterion (K?,c–Tef,c) based on notch fracture mechanics. International Journal of Fracture, 2011, vol. 167, pp. 173–182.
[4] Matvienko Iu.G. Nesinguliarnye T-napriazheniia v problemakh dvukhparametricheskoi mekhaniki razrusheniia [Nonsingular T-stress in the two-parameter fracture mechanics problems]. Zavodskaia laboratoriia. Diagnostika materialov [Factory Laboratory. Diagnosis materials]. 2012, no. 2, pp. 51–58.
[5] Nakamura T., Parks D.M. Determination of elastic T-stress along three-dimensional crack fronts using an interaction integral. International Journal of Solids and Structures, 1992, vol. 29, pp. 1597–1611.
[6] Morozov E.M., Muzemnek A.Iu., Shadskii A.S. ANSYS v rukakh inzhenera: Mekhanika razrusheniia [ANSYS in the hands of the engineer: Fracture Mechanics]. Moscow, LENAND publ., 2008. 456 p.
[7] Aliha M.R.M., Ayatollahi M.R., Smith D.J., Pavier M.J. Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading. Engineering Fracture Mechanics, 2010, vol. 77, pp. 2200–2212.
[8] Fleck N.A., Hutchinson J.W., Suo Z. Crack path selection in a brittle adhesive layer. International Journal of Solids and Structures, 1991, vol. 27, pp. 1683–1703.
[9] Betegon C., Hancock J.W. Two-parameter characterization of elastic-plastic crack-tip fields. Journal of Applied Mechanics, 1991, vol. 58, pp. 104–110.