Table 1 Summary of K and J and experimental data

From: Resolving the fundamentals of the J-integral concept by multi-method in situ nanoscale stress-strain mapping

   

LS1

LS2

LS3

SEM

  

iter

geom

iter

iter

K

MPa m0.5

5.6 ± 0.2

5.0 ± 0.1

11.0 ± 0.6

19.4 ± 1.0

J

J ∙ m−2

142 ± 9

114 ± 5

548 ± 31

1713 ± 87

rp

µm

0.3 ± 0.0

0.2 ± 0.0

1.2 ± 0.1

3.6 ± 0.2

CSnanoXRD

  

COS

geom

COS

COS

K

MPa m0.5

4.3 ± 0.1

4.5 ± 0.2

11.5 ± 0.3

15.3 ± 0.5

J

J ∙ m−2

91 ± 5

92 ± 15

604 ± 16

1069 ± 35

rp

µm

0.2 ± 0.0

0.2 ± 0.0

1.3 ± 0.1

2.2 ± 0.1

rp (T ≥ 2)

µm

–

1.0

2.9

FE-model

  

Stress field

Average

Stress field

Average

Stress field

Average

KI

MPa m0.5

4.5

4.9

13.8

13.7

19.4

16.7

KII

MPa m0.5

0.3

–

0.8

–

1.5

–

J

J ∙ m−2

94

111

866

860

1715

1268

rp

µm

0.2

0.3

1.8

1.8

3.6

2.7

Combined

analysis

  

8 µm

16 µm

24 µm

8 µm

16 µm

24 µm

8 µm

16 µm

24 µm

K

MPa m0.5

–

–

2.2 ± 4.7

–

–

10.0 ± 4.1

–

–

11.6 ± 2.6

J

J ∙ m−2

91 ± 15

61 ± 23

22 ± 47

777 ± 94

507 ± 109

456 ± 186

1530 ± 126

645 ± 138

612 ± 136

rp

µm

–

–

0.0 ± 0.1

–

–

1.0 ± 0.4

–

–

1.3 ± 0.3

  1. Values obtained from the SEM, CSnanoXRD and modelled cantilevers individually, as well as the combined values for the three contours (8, 16, and 24 µm) according to the evaluation scheme of Supplementary Note 7 and the Methods Section.
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