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| Layered shear-lag model and analysis on fracture initiation angle of I-II mixed mode crack |
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| DOI：10.7511/jslx20083055 |
| KeyWord:I-II mixed mode crack,oblique crack,fracture angle,layered shear-lag model,simple tension,stress concentration factor |
| LI Zhong-xian LIU Yong-guang |
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| Abstract: |
| Based on the modified shear-lag model,a new calculation model of I-II mixed mode crack of quasi-brittle materials such as rock,concrete and so on under simple tension load is established,and the fracture angle is obtained to be coincided with the experimental data and to be superior to the conventional S criterion.Through the reasonable simplification,the conditions of far-field stress,stress in the area of oblique crack and displacement of sub-layer,the boundary conditions to solve the shear-lag analysis model are obtained,and then the distribution function of displacement of each sublayer including the oblique crack is gotten.Introducing the maximum stress concentration factor,the frontal stress field of I-II mixed mode crack is simplified.Based on extension of the oblique crack along the direction of the maximum stress concentration factor,the fracture angle of the crack is obtained.According to the stress distribution of the oblique crack,the different sub-layer zones are set to obtain more precise model of displacement distribution.Through the analysis on the calculated data,a shear-lag calculation model with zoning sub-layers according to stress field is built for the I-II mixed mode crack under simple tension load to obtain more precise fracture angle of the oblique crack. |
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