Mode I stress intensity factor and T-stress by exponential matrix method

Nianga, Jean-Marie; Mejni, F.; Imad, A.; Li, J.

doi:10.1016/j.tafmec.2019.102287

Cited by 3 publications

(1 citation statement)

References 25 publications

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“…Even though the first term is the most influential term of each loading mode, recent studies have revealed the important contribution of HOTs in stress field characterization. [4][5][6][7] Up to now, researchers have proposed various analytical, 8-10 experimental, [11][12][13] and numerical [14][15][16][17] methods to calculate the unknown coefficients of the series expansions. As one of the numerical methods, Ayatollahi and his colleagues [18][19][20][21][22][23] proposed and utilized the finite element over-deterministic (FEOD) method to evaluate the coefficients of stress series for various notch geometries under mixed-mode in-plane loading.…”

Section: Introductionmentioning

confidence: 99%

Higher order stress terms in sharp notch problems under pure‐out‐of‐plane loading

Mehraban

Ayatollahi

Bahrami

et al. 2021

Fatigue Fract Eng Mat Struct

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Current paper studies the effects of higher order terms (HOTs) on the stress and displacement fields around sharp V-notched components under pure antiplane shear (mode III) loading. For this aim, two V-notched test samples each containing four different notch angles are simulated in a finite element (FE) commercial software. Subsequently, the over-deterministic technique is used as an approach to calculate the coefficients of singular and nonsingular terms out of the nodal displacement values. To verify the accuracy of the values calculated as the coefficients, the stress field reconstructed from the truncated series expansions is compared with the direct nodal outputs of FE analysis. The results demonstrate that the use of nonsingular terms of the asymptotic series expansion is necessary only in the case that the distribution of stress at far distances from the notch tip is sought and the notch angle is small. To check the stability of the results, some of the parameters which affect accurate determination of unknown coefficients and convergence of the numerical results are studied.

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