Study on the behavior of elastic-plastic fracture under mixed I+II mode loading in aluminum alloy Ly12-J-integral analysis期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Study on the behavior of elastic-plastic fracture under mixed I+II mode loading in aluminum alloy Ly12-J-integral analysis

Authors:

Sha Jiangbo Sun Jun Zhu Pin Deng Zengjie Zhou Huijiu

Affiliation:

(1) Department of Materials Science and Engineering, Guang Dong University of Technology, Guang Zhou, 510090, P.R. China;(2) School of Materials Science and Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R. China

Abstract:

The elastic-plastic fracture behavior of aluminum alloy Ly12 under mixed I+II mode loading was studied by finite element method and fracture test. A mixed mode elastic-plastic fracture criterion of J-integral was proposed by using the J-resistance curve, and the maximum fracture effective plastic strain epsi

_p max of different mixed ratios at crack tip were also calculated. The results show that(1) the initiation J-integral values of different mixed ratios have the equation

$\left\{ \begin{gathered} J_{MC} = J_{Ii} + J_{{\text{II}}i} \hfill \\ J_{{\text{I}}i} /J_{{\text{I}}C} + J_{{\text{II}}i} /j_{{\text{II}}C} = 1, \hfill \\ \end{gathered} \right.$

where J _Ii and J _IIi are the mode I and mode II components of the mixed initiation J-integral J _MC at a constant ixed ratio, respectively;(2) the relation between the J _MC and mixed ratio K _I/K _II is

$J_{MC} = K_{\text{I}}^{\text{2}} J_{{\text{I}}C} /(K_{\text{I}}^{\text{2}} + \alpha K_{{\text{II}}}^{\text{2}} ) + \alpha K_{{\text{II}}}^{\text{2}} ) + \alpha K_{{\text{II}}}^{\text{2}} J_{{\text{II}}C} /(K_{\text{I}}^{\text{2}} + \alpha K_{{\text{II}}}^{\text{2}} ),$

= J _IC/J _IIC;(3) J _MC increases with an increasing of mode II component, J _IIC is twice of J _IC for Ly12; and(4) the maximum fracture effective plastic strain epsiv

_{p max} and stress triaxiality sgr

_m/

of different mixed ratios at crack tip satisfy the formula of

$\varepsilon _p {\text{ max exp(3}}\sigma _m {\text{/2}}\sigma {\text{)}} = {\text{constant, }}$

where the constant is about 9.52 for Ly12. The relation with double parameters, epsiv

_{p max} and sgr

_m/

, can be used as the local fracture or damage mechanics parameter under mixed mode I+II loading.

Keywords:

Mixed mode loading elastic-plastic fracture J-integral criterion

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