2004
DOI: 10.1520/jte12618
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Development and Qualification of an Algorithm for the Determination of the Initial Linear Portion of a Force Versus Displacement Record

Abstract: In mechanical tests, the force versus displacement record generally contains an initial linear elastic portion. In the analysis, the accurate determination of this linear part is essential for the identification of characteristic values of force and/or plastic displacement. In this paper, an algorithm for the determination of this linear portion is presented. This algorithm is qualified on several experimental curves and on virtual data sets generated by a computer program. Results demonstrate that the algorit… Show more

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Cited by 11 publications
(4 citation statements)
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“…In 2013, ASTM Task Group E08.07.05 on Ductile Fracture Toughness undertook an activity aimed at developing a set of standard data sets to help users validate their analysis programs. Within this analytical round-robin, eight data sets were distributed to participants, developed using 1TC(T) and 1/2TC(T) 7 compact specimens, and 1TSE(B) single-edge bend specimens of an aluminum alloy and three steels [10].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…In 2013, ASTM Task Group E08.07.05 on Ductile Fracture Toughness undertook an activity aimed at developing a set of standard data sets to help users validate their analysis programs. Within this analytical round-robin, eight data sets were distributed to participants, developed using 1TC(T) and 1/2TC(T) 7 compact specimens, and 1TSE(B) single-edge bend specimens of an aluminum alloy and three steels [10].…”
Section: Discussionmentioning
confidence: 99%
“…Several authors have proposed algorithms for determining the linear range in a test record [5][6]. In 2004, Scibetta and Schuurmans [7] addressed the question regarding how to determine the number of points to be used in the linear fit, below a knee where slope shows a significant decrease. In their algorithm, an iterative process of successive linear regressions on varying window sizes is used to search for the window that corresponds to the lowest normalized residual.…”
Section: Introductionmentioning
confidence: 99%
“…To reduce the variability due to the interpretation of the individual laboratory, and to put each modulus measurement on a consistent basis, we reanalyzed each stressstrain curve to estimate the elastic modulus using a technique [33] based on the method of Scibetta and Schuurmans [34]. These reanalyzed moduli are denoted by the symbol E GA , to differentiate them from the moduli that the participants calculated and reported, denoted by E. In addition to estimating the modulus, the method includes some checks on the quality of the data that may be useful for laboratories that seek to improve their modulus measurement.…”
Section: Elastic Modulusmentioning
confidence: 99%
“…4 Use the Scibetta-Schuurmans [34] algorithm to determine optimum fit window and calculate the slope, which is the elastic modulus E GA , in normalized form. The Scibetta-Schuurmans algorithm finds the optimal region for determining the modu lus by performing a linear regression of stress on strain on every possible subset of data in the region e o < e < e t that contains at least 20 % of the data.…”
Section: Almentioning
confidence: 99%