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ÇATLAK İÇEREN ÖNGERİLMELİ ŞERİTTEKİ GERİLME BİRİKİMİ ŞİDDETİ FAKTÖRÜ’NÜN SONLU ELEMANLAR YÖNTEMİ İLE HESAPLANMASINDA SİNGÜLER SONLU ELEMANLARIN ETKİSİ

THE EFFECT OF SINGULER FINITE ELEMENT ON THE STRESS INTENSITY FACTORS CALCULATED WITH THE FINITE ELEMENT METHODS IN A PRE-STRECHED STRIP WITH A CRACK

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Abstract (2. Language): 
In this work, the effect of singular finite elements on the stress intensity factors (SIF) calculated with the Finite Element Methods (FEM) in a pre-stressed strip with a crack is investigated. It is known that in the determination of the SIF by the use of displacements, the singular finite elements should be employed. As a result of this the difficulties arise from the FEM modeling. However, determination of SIF by employing one of the Energy Methods such as Energy Release Rate, the requirement for the use of singular finite elements in the FEM modeling at the around of crack is not precise. So, in this work it is shown that, with a concrete problem as an example, the use of the singular finite elements under calculation of SIF through Energy Release Rate Method is unnecessary.
Abstract (Original Language): 
Bu çalışmada, çatlak içeren öngerilmeli şeritte, Sonlu Elemanlar Yöntemi ile hesaplanan Gerilme Birikimi Şiddeti Faktörüne (SIF) singüler sonlu elemanların etkisi incelenmiştir. Bilindiği üzere, Gerilme Birikimi Şiddeti Faktörünün yerdeğiştirmeler vasıtasıyla belirlenmesinde, singüler sonlu elemanlar kullanılmalıdır. Bunun sonucu olarak, sonlu elemanlar modellemesinden doğan zorluklar artar. Fakat, Enerji Yöntemlerinden biri örneğin Energy Release Rate Yöntemi ile SIF’in belirlenmesinde, singüler sonlu elemanların Sonlu Elemanlar modellemesinde kullanımı zorunluluğu belirgin değildir. Böylece, bu çalışmada, SIF’ün Energy Release Rate metodu ile hesaplanmasında singüler sonlu elemanların kullanılmasının gerekli olmadığı, örnek problem çerçevesinde gösterilmiştir.
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REFERENCES

References: 

[1] Griffith, A.A., ”The Phenomena of Rupture and Flow in Solids “, Philosophical
Transanctions Roy. Soc., 163-198, 1921.
[2] Griffith, A.A., ”The Theory of Rupture “, In: Proc First Int. Cong. App. Mech., 55-63,
1924.
[3] Irwin, G.R., “Fracture Dynamics”, In: Fracture of Metals”, Amer. Soc. for Metals, 147-
166, 1948.
[4] Orawan, E., ”Fracture and Strength of Solids”, Reports on Progress in Physics XII, 185-
232, 1948.
[5] Cotterell, B. and Mai, Y.W., “Fracture Mechanics of Cementitious Materials”, Blackie
Academic & Professional, London, 1996.
[6] Sih, G., “Handbook of Stress Intensity Factors”, Lehigh University, Pennsylvania, 1973.
[7] Vardar, Ö., “Fracture Mechanics”, Boğaziçi University Publication, İstanbul, 1988.
[8] Benzley S.E., “Representation of Singularities with Isoparametric Finite Elements”,
International Journal Numerical Methods in Engineering, 8, 537-545, 1974.
[9] Henshell R.D. and Shaw K.G., “Crack Tip Finite Elements are Unnecessary”, International
Journal Numerical Methods in Engineering,, 9, 495-507, 1975.
[10] Zienkiewich O.C. and Taylor R.L., “Basic Formulations and Linear problems the Finite
Elements Method”, Vol1, 4th Edition, McGraw-Hill, London, 648, 1989
[11] Guz, A.N., “Brittle Fracture of the Materials With Initial Stresses” Kiev, Naukova Dumka-
1991.
[12] Guz, A.N., “Fundamentals of the Three-Dimensional Theory of Stability of Deformable
Bodies”, Springer-Verlag, Berlin, Heidelberg-1999.
[13] Akbarov, S.D., Yahnioğlu, N. and Turan, A., “Çatlak İçeren Öngerilmeli Şeritte Gerilme
Birikimi Şiddeti Faktörüne Öngerilmenin Etkisi”, XII Ulusal Mekanik Kongresi ,
Gaziantep, 8-12 Eylül 2003, 797-806.
[14] Akbarov S.D., Yahnioğlu, N and Turan, A., “On the determination of the SIF at the macrocrack tips in the pre-streched anisotrop strip”, 6th International Fracture Conference,
Konya, 10-12 September 2003, 11-18.
[15] Akbarov S.D., Rzayev O.G., and Yahnioğlu N., “On the unnecessity of the singular finite
elements in the delamination problems”, 6th International Fracture Conference, Konya, 10-
12 September 2003, 19-28.
[16] Akbarov S.D., Yahnioğlu N., and Rzayev O.G., “On the unnecessity of the singular type
finite elements for investigations of the bucling around a crack”, International Applied
Mechanics, 2004 ( has been accepted for publication).
[17] Cristensen, R.M., “Mechanics of Composite Materials”, Wiley, New York, 348, 1979.
[18] Gosz, M., Dolbow, J. and Moran B., “Domain Integral Formulation for Stress Intensity
Factor Computation Along Curved Three-Dimensional Interface Cracks”, International J.
Solids and Structures 1763-1783, 1998.
[19] Tan, C.L.and Y.L. Gao., “Treatment of Bimaterial Interface Crack Problems Using the
Boundary Element Method”, Eng. Fracture Mechanics” 36, 6, 919-932, 1990.

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