Technical Briefs

Design Curve Construction Based on Tolerance Limit Concept

[+] Author and Article Information
Zhigang Wei

Product Validation
Tenneco, Inc.
3901 Willis Road
Grass Lake, MI 49240
e-mail: zwei@tenneco.com

Bilal Dogan

10302 Elven Lane
Charlotte, NC 28201

Dmitri Konson

Product Validation
Tenneco, Inc.
3901 Willis Road
Grass Lake, MI 49240

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the Journal of ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received May 13, 2012; final manuscript received November 29, 2012; published online January 23, 2013. Assoc. Editor: Pedro Peralta.

J. Eng. Mater. Technol 135(1), 014501 (Jan 23, 2013) (4 pages) Paper No: MATS-12-1094; doi: 10.1115/1.4023188 History: Received May 13, 2012; Revised November 29, 2012

Design curves, such as fatigue design S-N curves, are usually constructed by analyzing test data, which often exhibit large scatter. There are several methods available to construct a design curve and some of these methods, with varying degrees of conservativeness, accuracy, and simplicity, have been adopted by engineering standards, codes and guidelines, such as the American Society of Mechanical Engineers (ASME) Code. However, to meet increasing engineering demands, a simplified and user-friendly engineering method with rigorous mathematical and physical basis is still urgently needed to accurately manage the margin of safety and decrease the cost. In this paper, the current engineering practices for constructing a design curve are briefly reviewed, followed by the introduction of the tolerance limit concept because of its ability to relate the design curve well to sample size, failure probability, and confidence level. Recognizing the physical unsoundness of the hyperbolic shape of the design curves constructed with the Owen's tolerance limit approach, a new simple design curve construction method is developed based on the “equal partition principle.” Finally, the predicted results from various methods are compared and the advantage of the new method is demonstrated with several worked examples.

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Grahic Jump Location
Fig. 1

The value of factor K versus sample size

Grahic Jump Location
Fig. 2

(a) The new proposed design curve construction procedure for general regression cases; (b) the two-stress level design curve construction procedure [14]

Grahic Jump Location
Fig. 3

Design S-N curves with various methods for two fatigue data sets. (a) Data-1 with 12 data points (six for each stress level); (b) Data-2 with 984 data points.

Grahic Jump Location
Fig. 4

Predicted K value with three methods for two fatigue data sets. (a) Data-1 with 12 data points (six for each stress level); (b) Data-2 with 984 data points.



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