The Extrapolation of Families of Curves by Recurrence Relations, With Application to Creep-Rupture Data

1960 ◽  
Vol 82 (4) ◽  
pp. 839-846 ◽  
Author(s):  
A. Mendelson ◽  
S. S. Manson
Keyword(s):  
Finite Difference ◽  
Recurrence Relations ◽  
Creep Rupture ◽  
Families Of Curves ◽  
Rupture Data ◽  
Direct Extrapolation ◽  
Usual Parameter

A method using finite-difference recurrence relations is presented for direct extrapolation of families of curves. The method is illustrated by applications to creep-rupture data for several materials and it is shown that good results can be obtained without the necessity for any of the usual parameter concepts.

A New Approach of Reliability Design for Creep Rupture Property

2009 ◽  
Author(s):  
Jie Zhao ◽  
Dong-ming Li ◽  
Yuan-yuan Fang ◽  
Shi-jie Zhu
Keyword(s):  
Parametric Method ◽  
Stress Rupture ◽  
Creep Rupture ◽  
Parameter Method ◽  
Reliability Design ◽  
Safety Coefficient ◽  
Real Distribution ◽  
Z Parameter ◽  
Rupture Data ◽  
Temperature Time

It has been noted that the use of safety coefficient can deal with uncertainties existed in practical structures, while reliability concept provides more precise results by considering the real distribution of creep rupture property. Generally, creep rupture data of a heat-resistant steel can be compressed into a narrow band by using a temperature-time parametric method such as Larson-Miller or Manson-Haferd method. In order to describe the scattering of the data, the current paper proposes a “Z parameter” method to represent the magnitude of the deviation of the rupture data to master curve. Statistical analysis shows that the scattering of Z parameter for several types of steels is supported by normal distribution. Using this method, it is possible to achieve unified analysis of the creep rupture data in various temperature and stress conditions. Stress-TTP-Reliability curves (σ-TTP-R curves), Stress-Rupture time-Reliability curves (σ-tr-R curves) and Allowable stress-Temperature-Reliability curves ([σ]-T-R curves) are proposed which could embrace reliability concept into creep rupture property design.

CORRELATION AND EXTRAPOLATION OF CREEP-RUPTURE DATA: A CASE STUDY USING 9Cr-1Mo STEEL DATA

2005 ◽  
Vol 29 (1) ◽  
pp. 1-21 ◽  
Author(s):  
H.C. Furtado ◽  
L.H. de Almeida ◽  
I. Le May ◽  
R. Peace
Keyword(s):  
Creep Rupture ◽  
Rupture Data

Analysis of Creep Rupture Data of Nimocast Alloy 739

1982 ◽  
pp. 575-588 ◽  
Author(s):  
Eugenio Campo ◽  
Donato Ferrara ◽  
Sante Quaranta
Keyword(s):  
Creep Rupture ◽  
Rupture Data

Statistical Modeling of Creep Rupture Data

1999 ◽  
Vol 121 (3) ◽  
pp. 264-271 ◽  
Author(s):  
R. B. Davies ◽  
R. Hales ◽  
J. C. Harman ◽  
S. R. Holdsworth
Keyword(s):  
Statistical Modeling ◽  
Rupture Strength ◽  
Creep Rupture ◽  
Confidence Limits ◽  
Creep Rupture Strength ◽  
Statistical Research ◽  
Modeling Framework ◽  
Failure Times ◽  
Rupture Data ◽  
Model Improvement

A flexible statistical modeling framework for the analysis of creep rupture data is proposed, which offers an improvement on traditional methods of deriving creep rupture strength values and confidence limits. The paper reviews a family of models that can be used to represent the trend relationship between failure times about the trend line, and examines the reliability of extrapolations. Areas of statistical research which would lead to model improvement are discussed, such as variance heterogeneity, left censoring and allowance for the cluster (cast) structure of the data.

On Statistical Properties of High Temperature Creep Rupture Data in STS304 Stainless Steels

2006 ◽  
Vol 326-328 ◽  
pp. 553-556
Author(s):  
Seon Jin Kim ◽  
Yu Sik Kong ◽  
Young Jin Roh ◽  
Won Taek Jung
Keyword(s):  
Steady State ◽  
Creep Rate ◽  
Stainless Steels ◽  
Probability Distributions ◽  
Creep Rupture ◽  
Steady State Creep ◽  
Rupture Time ◽  
Steady State Creep Rate ◽  
Rupture Data ◽  
Short Time

This paper deals with the statistical properties of short time creep rupture characteristic values (for example, creep rupture time, steady state creep rate, total creep rate, initial strain, etc.) in STS304 stainless steels. From short time creep rupture tests performed by constant stresses at three different elevated temperatures 600, 650 and 700, the scatter and probability distributions were investigated for rupture time, total creep rate, steady state creep rate, initial strain, and others. The effect of temperature on the statistical scatter of rupture time was the smallest at 700. The effect of stress on the statistical scatter of rupture time was smaller with increasing stresses. The probability distributions of short time creep rupture data were well followed 2-parameter Weibull.

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