Calculation of stress intensity factors by efficient integration of weight functions

✍ Scribed by A.A. Moftakhar; G. Glinka

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 589 KB
• Volume: 43
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(92)90005-y

✦ Synopsis

A numerical technique for simple and efficient integration of weight functions is presented. The method enables the stress intensity factors to be calculated with the aid of a hand calculator for any non-linear stress distribution normal to the crack surfaces. The proposed integration routine is validated against accurate numerical and analytical solutions. i B, i' K* 4x. a) M,, A4r and IU~ s s: si u ut x Xi XT e(x) ai c(X) c,(a) NOMENCLATURE crack length coefficients of the linearized stress function in the sub-interval '7" stress intensity factor stress intensity factor corresponding to the integral interval, 0.95 < u < 1.0 weight function parameters of the weight function area under the monotonic curve m(x, a) area under the linearized stress function u(x) corresponding to the sub-interval "i" area under the weight function curve m(x, a) corresponding to the sub-interval "7 normalized coordinate coordinate u of the centroid of the area St corresponding to the sub-interval "i" coordinate x of the centroid of the area S. coordinate x of the centroid of the area S, corresponding to the sub-interval "7 coordinate x of the centroid of the area St corresponding to the sub-interval "i" stress distribution value of stress function at x = xi value of stress function at x =X value of stress function at u = ui