T-stress for crack paths in test specimens subject to mixed mode loading

Shlyannikov, V.N.

doi:10.1016/j.engfracmech.2013.03.011

Cited by 46 publications

(33 citation statements)

References 13 publications

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“…In 2013, Shlyannikov proposed an algorithm for calculation of T-stress along with the geometry dependent correction factors, 33 before which there were very few methods for calculation of T-stress, eg, the stress method and the displacement method. In some of the more recent studies, it is suggested that the T-stress is no longer a constant parameter along the curvilinear cracks and should be considered variable and as a function of the crack length and angle, especially when considering its effect on the crack growth path in a cracked body under the fatigue loading.…”

Section: A Brief Review On T-stressmentioning

confidence: 99%

Mixed mode crack tip parameters for different wheel positions relative to a vertical crack at the rail foot

Ayatollahi

Lordejani

Guagliano

et al. 2018

Fatigue Fract Eng Mat Struct

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Finite element method is used to analyze a rail with a vertical bottom up crack at its foot, under the axle load and surface traction of a wheel. The possibility of crack formation at the foot of the rail in the neighborhood of a welding connection is discussed. A brief review on the importance of T‐stress in brittle fracture is presented. Seven cases with different locations of the crack relative to rail's sleeper contact region are considered. Numerous positions of the wheel are considered, and in each case, 3 crack parameters KI, KII, and T‐stress are calculated. Then, the biaxiality ratio and the mixity parameter for each loading and crack condition are calculated. It is shown that the location of crack and wheel can create mixed mode loading in the cracked rail and that the magnitude of crack tip parameters are strongly dependent on these geometric variables. In particular, the magnitudes of T‐stress and biaxiality ratio are significant in some cases. The effect of friction between the crack faces in the presence of compressive mode I loading on the mode II stress intensity factor is studied. Under mixed mode loading, due to the axle load and surface traction, the most critical condition is the formation of vertical cracks near the sleeper contact region.

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Section: A Brief Review On T-stressmentioning

confidence: 99%

Mixed mode crack tip parameters for different wheel positions relative to a vertical crack at the rail foot

Ayatollahi

Lordejani

Guagliano

et al. 2018

Fatigue Fract Eng Mat Struct

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“…In the literature, theoretical T ‐stress solutions with crack length and cracked angle have been established for cruciform plates under biaxial loadings as given in Eq. .…”

Section: T‐stress Analyses For Mixed‐mode Cracked Plates Under Biaxiamentioning

confidence: 99%

“…In Fig. , the finite element results are compared with the proposed solutions in this paper and the solutions for a / W ≤0.7 in the literature . In Fig.…”

Section: T‐stress Analyses For Mixed‐mode Cracked Plates Under Biaxiamentioning

confidence: 99%

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An investigation of T‐stresses in a plate with an inclined crack under biaxial loadings

Miao

Zhou

et al. 2016

Fatigue Fract Eng Mat Struct

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For plates with an inclined crack of wide‐range aspect ratios under biaxial loadings, T‐stress values are calculated with three‐dimensional finite element method. The results show that the normalized T‐stress is crack length and orientation dependent. A linear equation for the relationship between normalized T‐stresses and biaxility factors is proposed to describe the normalized T‐stresses for different crack lengths and crack angles under different biaxial loadings, which is more convenient and involves wider biaxility ratios compared with the existing solutions. The plate thickness effect and the trend of normalized T‐stresses along the crack front thickness are also studied for mode I and I–II mixed‐mode cracks. Based on the analyses and comparisons, it is necessary to take the thickness effect into consideration when the crack length is long enough (a/W = 7/10). When the component of mode II is significant (β > 45°), and the biaxility ratios are negative, T‐stresses near the free surface are lower than those at other positions, which are the opposite of mode I crack and most of I–II mixed‐mode crack.

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“…Recent studies on notches and cracks in homogeneous bodies or bi-material interfaces have shown that the first non-singular stress term of elastic stress field can play an important role in stress distribution and fracture behavior at the vicinity of such sharp corners [22][23][24][25][26][27][28][29]. For example, Smith et al [27] revisited the MTS criterion for homogeneous cracks, and studied the effect of the first nonsingular stress term of the elastic stress field (T-stress) on the fracture initiation angle and fracture load.…”

Section: Introductionmentioning

confidence: 99%