Crack Problem in Nested Thick Pipes

Yıl 2019, Cilt: 9 Sayı: 3, 401 - 414, 15.07.2019

Nurcan Aşçı Demiröz Elif Pul

https://doi.org/10.17714/gumusfenbil.475244

Öz

The paper considers the elastostatic axisymmetric
problem for long nested thick-walled cylinders with two different crack cases
under uniform axial load according to the theory of elasticity. Both of
cylinders have different elastic constants. Using the Fourier and Hankel
transform techniques, the problem is formulated in terms of an integral
equation which has a simple Cauchy kernel. The singular integral equation is
solved numerically. Some results for the stress intensity factors are presented
graphically.

Anahtar Kelimeler

Crack, Integral transform technique, Singular integral equation, Stress-intensity factor

İç İçe Geçmiş Kalın Borularda Çatlak Problemi

Öz

Bu çalışmada düzgün
yayılı çekmeye maruz iç içe geçmiş eksenel simetrik sonsuz uzun kalın borularda
çatlak problemi elastisite teorisine göre incelenmiştir. Her iki borunun da elastik
özellikleri birbirinden farklıdır. Fourier and Hankel dönüşüm tekniklerinden
yararlanılarak problem basit Cauchy çekirdeğine sahip bir tekil integral
denklem sistemine indirgenmiştir. Bu tekil integral sistemi, Gauss-Chebyshev
integrasyon formülü kullanılarak sayısal olarak çözülmüştür. Gerilme şiddeti
faktörleri hesaplanmış ve grafik olarak sunulmuştur.

Anahtar Kelimeler

Çatlak, İntegral dönüşüm tekniği, Tekil integral, Gerilme yoğunluk faktörü

Kaynakça

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