PSI - Issue 18

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Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000

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Procedia Structural Integrity 18 (2019) 749–756

25th International Conference on Fracture and Structural Integrity Couple effects of mixed mode biaxial loading and crack tip configuration on plastic stress intensity factor behavior at small and large scale yielding A.P. Zakharov a *, V.N. Shlyannikov a , A.M. Tartygasheva a , D.V. Fedotova a a Institute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, Lobachevsky str 2/31, 420111, Kazan, Russian Federation In this paper the plastic stress intensity factor (SIF) approach is used to study the coupling effects of loading biaxiality, material properties and crack tip configuration in both the small- and large-scale yielding ranges. For comparison between small-scale and large-scale yielding solutions, a rectangular plate with a centered line crack subjected to biaxial loading and three types of test specimens under mixed mode loading were analysed by using a finite element method. Numerical analysis was performed for two types of steel and titanium and aluminum alloys with different elastic – plastic properties. Both the mathematical notch type crack tip and the crack tip with finite radius of curvature were considered. The governing parameter of the elastic – plastic crack tip stress field I n -integral, J -integral, and the plastic SIF were calculated as functions of loading biaxiality and applied stress levels. Special emphasis was put on an ambivalent J -integral and the plastic SIF behavior for specified the crack tip geometries. Contrary trends of biaxiality effects on J -integral behavior were established depending on crack tip configuration. Nonlinear fracture resistance parameters in the form of J -integral, I n -integral and the plastic SIF were calculated as a function of the material properties and mode mixity for specified test specimen geometries. Finally, the applicability of the plastic stress intensity factor approach to large-scale yielding analysis of mixed mode crack tip stress fields was demonstrated. 25th International Conference on Fracture and Structural Integrity Couple effects of mixed mode biaxial loading and crack tip configuration on plastic st ess intens ty factor behavior at small and large scale yielding A.P. Zakharov a *, V.N. Shlyannikov a , A.M. Tartygasheva a , D.V. Fedotova a a Institute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, Lobachevsky str 2/31, 420111, Kazan, Russian Federation Abstract In this paper the plastic stress intensity factor (SIF) approach is used to study the oupling effects f loading biaxiality, material properties and c ack tip configuratio in both the small- and large-scal yi lding ranges. For compariso between small-scale and large-scale yielding solutions, a rect ngular plate with a centered line crack subjected to biaxial loading nd three types of test spe imens under mixed mode loading were analysed by using a finite lement method. Numerical analysis was performed for wo ypes of steel and titanium and aluminum alloys with diff rent e stic – plasti properties. Both the mathematical notch type crack tip and the crack tip with finite radius of curvatur were considered. The governing pa am ter of el stic – lastic crack tip stress fi l I n -integral, J -integral, a d the pl stic SIF were calculated as functions of loading biaxiality and applied str ss levels. Sp cial emph sis was put on an a bivalent J -integral and the plastic SIF behavior for specified the crack tip ge metries. Cont ary t ends of biaxiality effects on J -int gral behavior wer established depe ding on crack tip configuration. Nonlin ar fracture resistance p rameters in the form of J -integral, I n -integral and the plastic SIF were calculated as a function of the material properties and mode mixity for specified test specimen geometries. Finally, the applicability of the plastic stress intensity factor approach to large-scale yielding analysis of mixed mode crack tip stress fields was demonstrated. Abstract

© 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. © 201 9 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. © 201 9 The Authors. Published by Elsevier B.V. P er-review under responsibility of th Gruppo Italiano Fra tura (IGF) ExC .

Keywords: biaxial loading, small- and large-scale yelding, plastic stress intensity factor, J -integral, mixed mode loading, crack tip geometry.

2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. * Corresponding author. Tel.: +7-987-213-7827, fax: +7-843-236-3102. E mail address: al x.zakharov88@mail.ru * Corresponding author. Tel.: +7-987-213-7827, fax: +7-843-236-3102. E-mail address: alex.zakharov88@mail.ru

2452-3216  2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 10.1016/j.prostr.2019.08.223

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