Paper Title:
Determination of the Optimum Fitting Probabilistic Distribution for Fracture Toughness in Small Sample Size
  Abstract

Plane strain fracture toughness is an important mechanical performance index for damage tolerance design, so how to obtain this value through test deserves consideration. In this paper, the ductile fracture toughness test was performed. It was difficult for the specimen with big dimensions in the case of plane strain to be carried out through ordinary testing machine with lower capacity because of the higher fracture toughness value of the material, that it was attained indirectly for plane strain fracture toughness value by the way of ductile fracture toughness test and pertinent formula calculation if proper specimen selected. The fracture property tests according to the corresponding standard were conducted. The compact tension specimens were obtained from the main rotor butt of a helicopter in service. Based on the single specimen measuring ductile fracture toughness method, the experiments of measuring the ductile fracture toughness were carried out. A method was given to determine the optimum fitting probabilistic distribution function of fracture toughness in the small sample size. The statistic results show that the optimum probabilistic distribution function of ductile fracture toughness is the Extreme Maximum. Value distribution. The following factors were taken into account, the linear relative coefficient, total fit effect probability relative coefficient, consistency with the relevant fatigue physics and tail most importantly, safety of design evaluation. The shape parameter, scale parameter, and location parameter are -1.1231, 860.53, 6036.4, respectively. The statistical variation coefficient is 11.22%. The result shows that there is a large risk probability for a definite value to fracture toughness only with one or two pieces of samples according to the test.

  Info
Periodical
Chapter
Chapter 1: Key Engineering Materials
Edited by
Jun Hu and Qi Luo
Pages
263-268
DOI
10.4028/www.scientific.net/AMR.320.263
Citation
W. L. Liu, R. J. Yang, Z. T. Mu, X. X. Wang, D. Z. Yu, "Determination of the Optimum Fitting Probabilistic Distribution for Fracture Toughness in Small Sample Size", Advanced Materials Research, Vol. 320, pp. 263-268, 2011
Online since
August 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yong Li Xu, Zhen Zhen Xing
Abstract:Deflection is the important index of asphalt pavement design and the final acceptance. Using double circular load of Design Specification and...
4347
Authors: Hong Wei Yan, Li Xue Sun, Juan Liu
Chapter 8: Machining
Abstract:In mechanical transmission, widely adopted involute spline link, it has self-centering, spline tooth bending strength, high bearing capacity...
1594
Authors: Yan Kun Zhang, Er Yan Chen, Zhen Lei Guo
Chapter 2: Advanced Construction Materials
Abstract:From the experimental research, the cube compressive strength and prism compressive strength of combined aggregate concrete are compared....
413
Authors: Xiao Hong Zhang, Jiang Tao Zhang
Chapter 6: Materials Engineering
Abstract:According to two parameters combination of the material thickness and air-gap depth, from the angle of pure optimization, this paper obtained...
1187
Authors: Chang Jiang Wang, Diane J Mynors, Tarsem Sihra
Chapter 15: Materials Processing Technology
Abstract:Presented here is the simulation of uniaxial stretch forming using two punches in a sheet metal forming operation. In the finite element...
2002