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Table 9 Normalized SIFs for slope crack at both tips, \(a/W=0.3\) and various \(\beta \)

From: Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation

\(\varvec{\beta }\)

Normalized SIFs

Left tip

Right tip

Present work

[54]

[44]

[27]

Present work

[54]

[44]

[27]

\(0^\circ \)

\(K_{I}^{\mathrm{norm}}\)

0.000000

0.0000

0.0000

0.0000

0.000000

–

–

–

\(K_{II}^{\mathrm{norm}}\)

\(-\) 0.054852

–

–

–

0.054852

0.054

0.054

0.0546

\(15^\circ \)

\(K_{I}^{\mathrm{norm}}\)

\(-\) 0.003698

–

–

–

0.003699

0.0038

0.0036

0.0038

\(K_{II}^{\mathrm{norm}}\)

0.053371

0.054

0.054

0.0533

\(-\) 0.053370

–

–

–

\(30^\circ \)

\(K_{I}^{\mathrm{norm}}\)

\(-\) 0.006959

–

–

–

0.006956

0.0071

0.0064

0.0068

\(K_{II}^{\mathrm{norm}}\)

0.048436

0.048

0.048

0.0489

\(-\) 0.048435

–

–

–

\(45^\circ \)

\(K_{I}^{\mathrm{norm}}\)

\(-\) 0.007509

–

–

–

0.007508

0.0077

0.0071

0.0076

\(K_{II}^{\mathrm{norm}}\)

0.041381

0.042

0.041

0.0420

\(-\) 0.041382

–

–

–

\(60^\circ \)

\(K_{I}^{\mathrm{norm}}\)

\(-\) 0.005460

–

–

–

0.005460

0.0053

0.0049

0.0054

\(K_{II}^{\mathrm{norm}}\)

0.032463

0.032

0.032

0.0322

\(-\) 0.032463

–

–

–

\(75^\circ \)

\(K_{I}^{\mathrm{norm}}\)

\(-\) 0.001284

–

–

–

0.001284

0.0023

0.0010

0.0017

\(K_{II}^{\mathrm{norm}}\)

0.018197

0.018

0.018

0.0180

\(-\) 0.018197

–

–

–

\(90^\circ \)

\(K_{I}^{\mathrm{norm}}\)

0.000394

0.0000

0.0003

0.0000

\(-\) 0.000394

–

–

–

\(K_{II}^{\mathrm{norm}}\)

0.000000

–

–

–

0.000000

0.000

0.000

0.0000