Evaluation of notch stress intensity factors by the asymptotic expansion technique coupled with the finite element method

Intensity of stress singularity for the circumferential V‐shape corner front of a three‐dimensional diamond‐like defect

“…Two‐dimensional (2D) solutions of singular stress fields for V‐shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times . However, most V‐shape corners in real materials and structures are in three‐dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model.…”

“…Two-dimensional (2D) solutions of singular stress fields for V-shape corners are studied by a lot of scholars in recent years, and various methods of problem solving are coming up all the times. 6,[9][10][11][12][13][14][15][16][17][18][19][20] However, most V-shape corners in real materials and structures are in three-dimensional (3D) shape, and a 2D model considers only a cross section of a 3D model. Some 3D cases of V-shape corners, such as plane strain and axisymmetric problems, can be treated as 2D corners.…”

Calculation of mixed mode (I/II) stress intensities at sharp V‐notches using finite element notch opening and sliding displacements

“…Moreover, researchers have also investigated mixed mode fracture criteria using NSIFs using a sharp V‐notched Brazilian disk (SV‐BD) specimen. Due to the application of the NSIF in the above failure criteria, many researchers used various numerical techniques to estimate the NSIFs of sharp V‐notched configurations, such as finite element method (FEM), extended FEM, fractal‐like FEM, boundary element method, body force method, boundary collocation method, and distributed dislocation method . On the other hand, Zhao and Hahn determined the NSIFs of sharp V‐notches from the SIFs of the corresponding crack geometries directly.…”

“…Recently, Meneghetti et al calibrated the PSM with seven different commercial FE codes and then evaluated the NSIFs. In another recent paper, Yao et al calculated the NSIFs for mixed mode configurations using a characteristic analysis method coupled with the FE method.…”

“…Due to the presence of very high local stresses at the notch tip, significant attention has been received among researchers on brittle fracture criteria [9][10][11][12][13][14][15] and high cycle fatigue assessment 5,6 of the sharp V-notches based on the critical NSIF which is a limit on the NSIF K. Moreover, researchers 16,17 have also investigated mixed mode fracture criteria using NSIFs using a sharp V-notched Brazilian disk (SV-BD) specimen. Due to the application of the NSIF in the above failure criteria, many researchers used various numerical techniques to estimate the NSIFs of sharp V-notched configurations, such as finite element method (FEM), [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] extended FEM, 36,37 fractal-like FEM, 38,39 boundary element method, [40][41][42][43][44] body force method, [45][46][47] boundary collocation method, 48,49 and distributed dislocation method. 50 On th...…”