From statistical distribution of microcrack to statistical disribution of strength and toughness

Xiu San Xing; Hai Yun Hu

doi:10.1016/S0375-9601(02)00133-0

From statistical distribution of microcrack to statistical disribution of strength and toughness

Xiu San Xing^*
, Hai Yun Hu

^*Corresponding author for this work

School of Physics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Based on the idea of fracture caused by the statistical nucleation, growth and propagation of microcracks in the materials, the statistical distribution functions of brittle strength, fracture toughness and crack extension force of metals are derived from the solved statistical distribution function of microcracks. The forms of these three statistical distribution functions are similar, and the latter two can be derived from the former. The further approximation of these statistical distribution functions is not the Weibull distribution function but the Duxbury-Leath distribution function. The statistical distribution characteristics of fracture probability have been compared with experiment data.

Original language	English
Pages (from-to)	61-64
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	296
Issue number	1
DOIs	https://doi.org/10.1016/S0375-9601(02)00133-0
Publication status	Published - 8 Apr 2002

Keywords

Microcrack
Statistical distribution
Strength and toughness

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10.1016/S0375-9601(02)00133-0

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title = "From statistical distribution of microcrack to statistical disribution of strength and toughness",

abstract = "Based on the idea of fracture caused by the statistical nucleation, growth and propagation of microcracks in the materials, the statistical distribution functions of brittle strength, fracture toughness and crack extension force of metals are derived from the solved statistical distribution function of microcracks. The forms of these three statistical distribution functions are similar, and the latter two can be derived from the former. The further approximation of these statistical distribution functions is not the Weibull distribution function but the Duxbury-Leath distribution function. The statistical distribution characteristics of fracture probability have been compared with experiment data.",

keywords = "Microcrack, Statistical distribution, Strength and toughness",

author = "Xing, \{Xiu San\} and Hu, \{Hai Yun\}",

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doi = "10.1016/S0375-9601(02)00133-0",

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T1 - From statistical distribution of microcrack to statistical disribution of strength and toughness

AU - Xing, Xiu San

AU - Hu, Hai Yun

PY - 2002/4/8

Y1 - 2002/4/8

N2 - Based on the idea of fracture caused by the statistical nucleation, growth and propagation of microcracks in the materials, the statistical distribution functions of brittle strength, fracture toughness and crack extension force of metals are derived from the solved statistical distribution function of microcracks. The forms of these three statistical distribution functions are similar, and the latter two can be derived from the former. The further approximation of these statistical distribution functions is not the Weibull distribution function but the Duxbury-Leath distribution function. The statistical distribution characteristics of fracture probability have been compared with experiment data.

AB - Based on the idea of fracture caused by the statistical nucleation, growth and propagation of microcracks in the materials, the statistical distribution functions of brittle strength, fracture toughness and crack extension force of metals are derived from the solved statistical distribution function of microcracks. The forms of these three statistical distribution functions are similar, and the latter two can be derived from the former. The further approximation of these statistical distribution functions is not the Weibull distribution function but the Duxbury-Leath distribution function. The statistical distribution characteristics of fracture probability have been compared with experiment data.

KW - Microcrack

KW - Statistical distribution

KW - Strength and toughness

UR - https://www.scopus.com/pages/publications/17944397404

U2 - 10.1016/S0375-9601(02)00133-0

DO - 10.1016/S0375-9601(02)00133-0

M3 - Article

AN - SCOPUS:17944397404

SN - 0375-9601

VL - 296

SP - 61

EP - 64

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -

From statistical distribution of microcrack to statistical disribution of strength and toughness

Abstract

Keywords

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