Abstract
A study on the accuracy of the approximation of the displacement field around of crack tip in a sample made from bridge steel (S355) is main objective of contribution. Linear elastic fracture mechanics (LEFM) theory in framework of multi-parameter formulation, i.e. postulated by Williams is used to determine of coefficients of Williams power series terms. Over deterministic method was used to calculate the terms based on the least squares regression technique, applied on data from numerical simulation and experiment on S355 steel grades. Comparison between the stress fields (by principal stress s1 and von Mises stress sHMH) obtain from experimental measurement DIC, Hybrid method and obtain from reconstruction by using various number of Williams power terms are quantified in order to get key information around the crack tip region on bridge steel specimens.
Highlights
N on-destructive inspections of fatigue loaded components or civil engineering structures are usually performed to predict the size and the locations of cracks that are created from singular stress concentrator/defects during the manufacturing process or service life
A comparison between the stress intensity factor (SIF) results and the analytical solution was established. The aim of this contribution is to analyse the various stress fields in the vicinity of the crack tip that were constructed from the data obtained from measurement of the displacement field by Digital Image Correlation technique (DIC) by comparing the crack tip field approximations obtained with the Over Deterministic Method (ODM) [28] and hybrid element method [29, 30]
The displacement field in the vicinity of the crack tip, which is necessary for the following analysis, was measured in a standard compact tension (CT-[31]) specimen made of S355 J2 under the constant value of stress intensity factor KI=15 MPa√m.(according ASTM E647, [32])
Summary
N on-destructive inspections of fatigue loaded components or civil engineering structures are usually performed to predict the size and the locations of cracks that are created from singular stress concentrator/defects during the manufacturing process or service life. In the papers [17, 18, 23,24,25,26,27], the displacement field in the surrounding of a crack tip of single edge geometry specimens was employed in conjunction with Williams power series to estimate the stress intensity factor (SIF). A comparison between the SIF results and the analytical solution was established The aim of this contribution is to analyse the various stress fields in the vicinity of the crack tip that were constructed from the data obtained from measurement of the displacement field by DIC by comparing the crack tip field approximations obtained with the ODM [28] and hybrid element method [29, 30]. The influence of the number of terms considered for the power series reconstruction of two kinds of definition for the stress fields for the calculation of the values of coefficients of those terms are investigated in the current paper
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