COMPUTATION OF STRESS INTENSITY FACTORS OF AN AXISYMMETRIC INFINITE CYLINDER HAVING A TRANSVERSE CRACK

This paper considers the problem of an axisymmetric infinite cylinder with a crack at z = 0. The cylinder is under the action of uniformly distributed axial tension applied at infinity and its lateral surface is free of traction. It is assumed that the material of the cylinder is linearly elastic and isotropic. Crack surfaces are free. Formulation of the boundary problem under consideration is reduced to single singular integral equation in terms of the derivative of the crack surface displacement. These equations together with the single-valuedness and equilibrium condition for the displacements around the crack is converted to a system of a linear algebraic equation which is solved numerically. Stress intensity factors are calculated and presented in graphical form.

EKSENEL SÝMETRÝK ÇATLAK ÝÇEREN SONSUZ SÝLÝNDÝRÝN GERÝLME ÞÝDDETÝ FAKTÖRÜNÜN HESAPLANMASI

Bu çalýþmada çekmeye maruz z = 0 düzleminde çatlak içeren sonsuz eksenel simetrik silindir incelenmektedir. Silindir düzgün yayýlý p0 þiddetinde eksenel çekmeye maruzdur. Silindirin yanal yüzeylerinde gerilmeler sýfýrdýr. Malzemenin lineer elastik ve izotropik olduðu varsayýlmaktadýr. Çatlak yüzeyleri serbesttir. Problem çatlak yüzey deplasman türevi cinsinden tek tekil integral denkleme indirgenmektedir. Boyutsuzlaþtýrýlan denklem takýmý single-valuedness ve denge durum denklemi ilave edilerek lineer denklem takýmlarýna indirgenerek sayýsal çözümü yapýlmýþtýr. Gerilme þiddeti faktörü hesaplanmýþ ve sonuçlar grafiklerle sunulmuþtur.