| Explicit formulation of the J_2-integral in anisotropic materials and its application in microcrack shielding problems |
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| 作者姓名： | 陈宜亨 马浩 |
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| 作者单位： | School of Civil Engineering and Mechanics，Xi'an Jiaotong University，Xi'an 710049，China，School of Civil Engineering and Mechanics，Xi'an Jiaotong University，Xi'an 710049，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China. |
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| 摘 要： | The explicit formulation of the J2-integral in anisotropic bodies and its application in microcrack shielding problems are discussed. With analytical treatments and numerical examinations, it is proved that there is a redistribution law for the remote J-integral in a discrete model of microcrack shielding problems, i.e. the projected conservation law of the Jk-vector. In this law, the J2-integral which was disregarded by Herrmann (1981) is proved to be of the same significance as the J1-integral. It is also concluded that the two energy dissipative processes due to the mi crocrack damage, i. e. the reduction in the effective moduli and the release of residual stresses, can be described by using the dissipation of the remote J-integral spreading across the microcrack damage zone.
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Explicit formulation of theJ
2-integral in anisotropic materials and its application in microcrack shielding problems |
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| Yiheng Chen,Hao Ma.Explicit formulation of the J_2-integral in anisotropic materials and its application in microcrack shielding problems[J].Science in China(Technological Sciences),1997,40(6):588-596. |
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| Authors: | Yiheng Chen Hao Ma |
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| Affiliation: | 1. School of Civil Engineering and Mechanics, Xi'an Jiaotong University, 710049, Xi'an, China
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| Abstract: | The explicit formulation of the J2-integral in anisotropic bodies and its application in microcrack shielding problems are discussed. With analytical treatments and numerical examinations, it is proved that there is a redistribution law for the remote J-integral in a discrete model of microcrack shielding problems, i.e. the projected conservation law of the Jk-vector. In this law, the J2-integral which was disregarded by Herrmann (1981) is proved to be of the same significance as the J1-integral. It is also concluded that the two energy dissipative processes due to the mi crocrack damage, i. e. the reduction in the effective moduli and the release of residual stresses, can be described by using the dissipation of the remote J-integral spreading across the microcrack damage zone. |
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| Keywords: | anisotropic materials microcrack shielding conservation integral continuum damage projected conservation discrete model |
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