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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.
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XING XIU-SAN

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[1]	Du Hao, Ni Yu-Shan.Multiscale simulations and ductile-brittle analyses of the atomistic cracks in BCC Ta, Fe and W. Acta Physica Sinica, 2016, 65(19): 196201.doi:10.7498/aps.65.196201
[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
[4]	Wei Zhi-Yong, Zang Li-Hui, Li Ming, Fan Wo, Xu Yu-Jie.Fragmentation in DNA double-strand breaks. Acta Physica Sinica, 2005, 54(10): 4955-4960.doi:10.7498/aps.54.4955
[5]	Xing Xiu-San.Nonequilibrium statistical information theory. Acta Physica Sinica, 2004, 53(9): 2852-2863.doi:10.7498/aps.53.2852
[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
[12]	XING XIU-SAN.ON THE FRACTURE TOUGHNESS OF METALS. Acta Physica Sinica, 1983, 32(10): 1255-1262.doi:10.7498/aps.32.1255
[13]	ZHANG HONG-TU, ZHE XIAO-LI.THEORY OF INCLUSION AND APPLICATIONS IN THE STUDY OF FRACTURE. Acta Physica Sinica, 1981, 30(6): 761-774.doi:10.7498/aps.30.761
[14]	XING XIU-SAN.A STATISTICAL THEORY OF BRITTLE FRACTURE. Acta Physica Sinica, 1980, 29(6): 718-731.doi:10.7498/aps.29.718
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[17]	.. Acta Physica Sinica, 1966, 22(1): 111-114.doi:10.7498/aps.22.111
[18]	WANG YEH-NING, HSU TSIH-ZAN, HAN YEH-LUNG.GRAIN BOUNDARY RELAXATION OF MOLYBDENUM AND THE MECHANISM OF THE EMBRITTLING EFFECT OF INTERSTITIAL IMPURITY ADDITIONS. Acta Physica Sinica, 1966, 22(6): 647-658.doi:10.7498/aps.22.647
[19]	HSIN HSIU-SAN.A STATISTICAL THEORY OF BRITTLE FRACTURE. Acta Physica Sinica, 1966, 22(4): 487-497.doi:10.7498/aps.22.487
[20]	.САТИСТИЧЕСКАЯ ТЕОРИЯ ЭЛЕКТРОННОГО ГАЗА. Acta Physica Sinica, 1959, 15(12): 664-672.doi:10.7498/aps.15.664

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Vol. 48, Issue 1 - 1999-01-05

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