A STATISTICAL THEORY OF TRANSGRANULAR BRITTLE FRACTURE FOR METALS

XING XIU-SAN

doi:10.7498/aps.48.107

Abstract
A statistical theory of transgranular brittle fracture for metals is discussed. According to the continuum model of interface energy describing the interaction between transgranular brittle crack and grain boundaries and nonequilibrium statistical theory of fracture,the crack growth rate,fracture strength,fracture toughness,brittle-ductile transition temperature and their statistical distribution functions changing with grain size and interface energy are derived in a unified theory.
Authors and contacts
XING XIU-SAN

1.
北京理工大学应用物理系，北京 100081
References

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[2]	Xu Ting-Dong, Liu Zhen-Jun, Yu Hong-Yao, Wang Kai. Measurement uncertainty of metallic ductility in tensile tests: intermediate temperature embrittlement and strain rate embrittlement. Acta Physica Sinica, 2014, 63(22): 228101. doi: 10.7498/aps.63.228101
[3]	Wu Fei-Fei, Yu Peng, Bian Xi-Lei, Tan Jun, Wang Jian-Guo, Wang Gang. Correlation between fracture mechanism and fracture toughness in metallic glasses. Acta Physica Sinica, 2014, 63(5): 058101. doi: 10.7498/aps.63.058101
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[6]	Qian Xiang-Zhong. . Acta Physica Sinica, 1995, 44(8): 1192-1202. doi: 10.7498/aps.44.1192
[7]	WANG JING, WU XI-JUN, WANG YING. INFLUENCE OF TRIPLE JUNCTION ON THE FRACTURE BEHAVIOR IN COPPER-BISMUTH TILT TRICRYSTAL. Acta Physica Sinica, 1993, 42(12): 1963-1957. doi: 10.7498/aps.42.1963
[8]	YANG GUO-CHEN, QIAN XIANG-ZHONG. STATISTICAL THEORY OF SC LIQUID CRYSTALS. Acta Physica Sinica, 1993, 42(4): 551-562. doi: 10.7498/aps.42.551
[9]	XING XIU-SAN. STATISTICAL THEORY OF DELAYED FRACTURE. Acta Physica Sinica, 1990, 39(10): 1602-1613. doi: 10.7498/aps.39.1602
[10]	CHEN GUANG-HUA, LIU HUI-CHUN. STATISTICAL THEORY OF DEFECTS AND INPURITIES IN AMORPHOUS SEMICONDUCTORS. Acta Physica Sinica, 1984, 33(1): 93-98. doi: 10.7498/aps.33.93
[11]	HUO YU-PING, HU XI-WEI. THE STATISTICAL THEORY OF CHEMICAL REACTIONS. Acta Physica Sinica, 1983, 32(5): 599-570. doi: 10.7498/aps.32.599
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Vol. 48, Issue 1 - 1999-01-05

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A STATISTICAL THEORY OF TRANSGRANULAR BRITTLE FRACTURE FOR METALS

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