Crack Problem in Nested Thick Pipes

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

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.

Keywords:

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

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