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By Mrs. Spangler in the Middle

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9 with variation of mode mixity Mp for two hardening exponent n=3 and n=13, respectively. 9 (as in other next figures) the stresses are l. ----. _--_. b'e - 3 5 4 e = 45 t5 (/) (/) 2 d istance r O"o IJ 6 ~------------~-----. o 4 1 0 5 (/) (/) - f!! f!! (/) 3 ( /) (/) (/) (/) (/) .!!! 5"C E "C 1 O~ o __ ~ 1 __L -_ _L -_ _ 2 3 distance r O"o IJ L_~ 4 5 distance r O"o IJ Fig. 11. The stress variations ahead of the crack tip (8=0°) and in a direction of (8=45°) ing of the crack tip does not exist. 9 both stresses depend on mode mixity.

3. The cracked plate is discretised by triangular finite-elements of six nodes using a substructure method. 26, is embedded in the highly refined mesh region centered in the initial crack tip. At the same time on boundaries of such areas the compatibility conditions by the displacement components are satisfied. 27. 008 mm. The initiate crack length ao 54 I. Mixed-mode crack behavior under plane stress and plane strain small scale yielding was assumed equal to 4 mm. The total mesh contains 5496 elements including 2312 elements embedded in highly refined mesh region directly centered in the initial crack tip.

The normal stress (feo decrease with the increase of mode mixity value characterized by the parameter M p , while the effective stress (fe has a inverse trend of variation with respect to the increase of M p . 4 Family of crack-tip fields characterized by dominating fracture mechanism 35 Then, the effect of the plastic material properties under mixed mode loading was investigated. l 0 the distribution on normal stress ii00 , shear stress ii rO and effective stress iie ahead of the crack tip (0=0°) is displayed for various values of the strain hardening exponent n.

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