Critical Crack Tip Opening Displacement (CTOD) Testing: Part Two


Crack tip opening displacement is widely used and quite specific in that it is the only standardized test that covers all fracture behaviors that occur between the extremes associated with the stress intensity factor K and J-integral tests.
This articles covers a range of conclusions from papers focusing on CTOD testing of a range of well-known and important steels such as HSLA.

It’s well known that the CTOD (crack tip opening displacement) is widely applied in engineering.

In the paper by Z. Praunseis, P. Virtič three different types of steels were tested relating to the comparison of mutual mechanical properties. The mechanical properties of the HSLA steel grades HT50 and HT80 and mild steel were evaluated using standard tensile, Charpy and CTOD (Crack Tip Opening Displacement) test. The specimens were taken from the steel plates in rolling, thickness and width direction.

CTOD fracture toughness of the HSLA steel grades HT50 and HT80 and mild steel was evaluated using standard static CTOD testing. Specimen loading was carried out with constant crosshead speed v = 0.5 mm/min. The test temperature was -10° C according to the recommendation of the OMAE (Offshore Mechanics and Artic Engineering) association. For CTOD testing the single specimen method was used. To evaluate fracture toughness of steels standard fracture mechanics tensile specimens with shallow notches were used, as shown in Figure 1.

Figure 1: Direct measurement of CTOD values at crack tip of fracture mechanics specimen

For all specimens the fatigue pre-cracking was carried out with the Step-Wise High R ratio (SHR) method procedure. During the CTOD tests the potential drop technique was used for monitoring stable crack growth. The CTOD values were directly measured by special clip gauge on the specimen side surfaces at the fatigue crack tip over a gauge length of 5 mm (see Figure 1).

Directly measured CTOD values of fracture toughness for each type of steel are summarized in Table 1. The maximal CTOD toughness was measured in the specimens with the crack tip located in the width direction (C). In the case of CTOD testing of specimens with the crack tip located in the thickness direction (B) the lowest CTOD was measured due to the appearance of the first brittle fracture in the mainly ferritic microstructure with carbides (Fe3C), precipitated at the grain boundary (Figure 2) and appearance of brittle fracture initiation point, i.e. Al-Si-Mn inclusions (Figure 3).

Table 1: Mechanical properties of HSLA steel HT80 and HT50 and mild steel plate in the rolling direction (A), thickness direction (B) and width direction (C)

Figure 2: Mainly ferritic microstructure with carbides (Fe3C) precipitated at the grain boundary

Figure 3: Appearance and EDX analysis of brittle fracture initiation point, i.e. Al-Si-Mn inclusion

It should be noticed that for correct identification of brittle fracture initiation point it is of utmost importance to apply Energy Disperse X-ray (EDX) analysis to both fracture surfaces. In the opposite case it could happen that the EDX analysis detects some fictitious brittle fracture initiation point.

On the other hand, as one of the essential criteria of the assessment to welding toughness, the CTOD(Crack tip opening displacement) method is very popular in general engineering because the structure becomes more and more thick, with the acceptable CTOD value of different Standards are applied to prevent the structural safety and stability.

Z.Xia et al. noted that it perceives the single edge fatigue pre-crack of CTOD specimen as a flaw with the technical route of the British Standard 7910-2005, that is "Guide to methods for assessing the acceptability of flaws in metallic structures". The assessments on welded joints of EQ70/56 show that the CTOD values are in the acceptable range. This method provides some useful guidance in researches of allowable CTOD values.

Based on the fracture mechanics, the BS7910 fulfills the assessments with the FAD (failure assessment diagram) and takes the comparison between the crack resistance of the structure and the actual ability to crack loading as its main idea.

When majority of the standards of flaw assessment of metal structures were applied on the issue of ‘Fitness for Purpose’, BS7910:1999 was amended and extended to an update version BS7910:2005, which has three levels of fracture assessment for the flaws in the metallic structures. The choice of level depends on the materials involved, the input data available and the conservatism required.

In the standard BS7910, flaws include planar flaws, non-planar flaws and shape imperfections. In the assessment of high-strength and heavy steel plates, the specimen of the CTOD test was pre-carved with crack throughout the thickness. The welding seam center of the specimen was determined by Level 2B. With a FAD of Level 2B, the axis is an assessment index of fracture toughness, and appears as Kr which is the ratio of stress intensity factor, or √δ r , the square root of CTOD fracture ratio.

In CTOD tests, the single edge running through the crack could be taken as the flaws assessed by FAD with the fracture ratio as ordinates against load ratio (Sr) as abscissa. The applied Level 2 assessment has an assessment curve given by the equation of a curve and a cut-off. If the assessment point lies within the area bounded by the axes and the assessment curve, the flaw is acceptable; if it lies on or outside the curve, the flaw is unacceptable.

CTOD toughness assessment of the heat affected zone and welding seam center of high-strength and thickness steel with the FAD method are summarized as follow:

1) Measure the CTOD values of the welding joints of the high-strength steel at a specific temperature;

2) Plot the stress-strain curve of the welding joints of the high-strength steel through an uniaxial tensile test, and then transfer it to a true stress-strain curve with related equations;

3) Plot the Level 2B FAD with the true stress-strain curve, make the failure assessments of the joint and the welding seam center of the high-strength steel plates;

4) Calculate the load ratio and fracture ratio (coordinates of the assessment points) with the CTOD values and stress-strain curve, and then plot the FADs with the ratios. The toughness assessments of the welding joint would be completed with the FADs.

As Z.Xia et al. concluded in the paper, that the average critical CTOD value is 0.06 mm, and according to the critical CTOD value calculated and with more details described in the paper it suggests that the CTOD acceptable value of heavy plates could be modified and lowered appropriately based on values specified by standards.


1. Z. Xia, Z. Miao , T. Ma, G. Chen, S. Peng: CTOD fracture toughness assessment method of High-strength steel based on BS7910, 13th International Conference on Fracture June 16–21, 2013, Beijing, China, p.1-10;

2. Z. Praunseis, P. Virtič: Evaluation of mechanical properties of soft magnetic materials for axial flux permanent magnet synchronous machines, Przeglą Elektrotechniczny, R. 89 NR 2b/2013, p.35-37, ISSN 0033-2097;

Search Knowledge Base

Enter a phrase to search for:

Search by

Full text


The Total Materia Extended Range includes a unique collection of stress-strain curves and diagrams for calculations in the plastic range for thousands of metal alloys, heat treatments and working temperatures. Both true and engineering stress curves are given for various strain rates where applicable.

Finding a stress-strain graph in the database is simple and takes only seconds.

Enter the material of interest into the quick search field. You can optionally narrow your search by specifying the country/standard of choice in the designated field and click Search.

solution img

After selecting the material of interest to you, click on the Stress-Strain diagrams link to view data for the selected material. The number of available stress-strain diagrams is displayed in brackets next to the link.

solution img

Because Total Materia stress-strain curves are neutral across standard specifications, you can review stress-strain diagrams by clicking the appropriate link for any of the subgroups.

Besides the stress-strain curves at different temperatures, stress and strain data are given in a tabular format which is convenient for copying to, for example, a CAE software.

solution img

It is also possible to view stress-strain curves and data for other working temperatures.

To do this, simply insert a new temperature into the ‘Enter temperature’ field within the defined range.

After clicking the Calculate button, a new curve is plotted and values in the table now correspond to the temperature you have defined. See example below for 250°C.

solution img

For you’re a chance to take a test drive of the Total Materia database, we invite you to join a community of over 150,000 registered users through the Total Materia Free Demo.