Jb. Sha et al., Study on the behavior of elastic-plastic fracture under mixed I plus II mode loading in aluminum alloy Ly12-J-integral analysis, INT J FRACT, 102(2), 2000, pp. 141-154
The elastic-plastic fracture behavior of aluminum alloy Ly12 under mixed III mode loading was studied by finite element method and fracture test. A m
ixed mode elastic-plastic fracture criterion of J-integral was proposed by
using the J-resistance curve, and the maximum fracture effective plastic st
rain epsilon(p max) of different mixed ratios at crack tip were also calcul
ated. The results show that,
(1) the initiation J-integral values of different mixed ratios have the equ
ation
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where J(li) and J(IIi) are the mode I and mode II components of the mixed i
nitiation J-integral J(MC) at a constant mixed ratio, respectively:
(2) the relation between the J(MC) and mixed ratio K-I/K-II is
J(MC) = K-I(2) J(IC)/(K-I(2) + alpha K-II(2)) + alpha K-II(2)) + alpha K-II
(2)) + alpha K-II(2) J(IIC)/(K-I(2) + alpha K-II(2)),
where alpha = J(IC)/J(IIC);
(3) J(MC) increases with an increasing of mode II component, J(IIC) is twic
e of J(IC) for Ly12; and
(4) the maximum fracture effective plastic strain epsilon(p) max and stress
triaxality sigma(m)/sigma of different mixed ratios at crack tip satisfy t
he formula of
epsilon(p) (max) exp(3 sigma(m)/2 sigma) = constant,
where the constant is about 9.52 for Ly12. The relation with double paramet
ers, epsilon(p) (max) and sigma(m)/sigma, can be used as the local fracture
or damage mechanics parameter under mixed mode I+II loading.