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Journal articles on the topic 'Notch stress intensity factors'

Author: Grafiati

Published: 9 March 2023

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1

Chen, Bo, and You Tang Li. "Dimensionless Stress Intensity Factors of an Annular Notched Shaft." Key Engineering Materials 488-489 (September 2011): 174–77. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.174.

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The tip radius ρ, depth t and field angle α of notch and the geometrical sizes a and b of shaft are looked as descriptive parameters in the annular notched shaft. Taken the crack, blunt crack and notch as breach, the stress field and displacement field near the tip of breach which serve dimensionless factor fα(a/b) as descriptive parameter are obtained. The effects of parameters ρ, t and α to fα(a/b) are analyzed. The connections between stress intensity factor of crack and stress concentrator factor of notch, between sharp V-notch and crack, between V-notch and U-notch have been founded.

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2

PING, XUE-CHENG, MENG-CHENG CHEN, NAO-AKI NODA, and YI-HUA XIAO. "ANALYSIS OF GENERALIZED STRESS INTENSITY FACTORS OF V-SHAPED NOTCH PROBLEMS BY FEM." International Journal of Computational Methods 10, no. 06 (May 2, 2013): 1350068. http://dx.doi.org/10.1142/s0219876213500680.

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This paper deals with a-finite element method (FEM) based on a V-shaped notch corner tip stresses to solve generalized stress intensity factors (GSIFs) in 2D elastic bodies. The method does not need extremely refined meshes and special elements accounting for the analytical form of singularities around the V-shaped notch corner tip. The generalized stress intensity factors of the V-shaped notch problems are evaluated from the ratios of FEM stress values at the notch corner tip for a given problem and a reference one. Several numerical examples show that present method is effective and applicable to dealing with the V-shaped notch problems.

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3

Nowell, D., D. Dini, and P. Duó. "Stress analysis of V-notches with and without cracks, with application to foreign object damage." Journal of Strain Analysis for Engineering Design 38, no. 5 (July 1, 2003): 429–41. http://dx.doi.org/10.1243/03093240360713487.

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Gas turbine engines can be subject to ingestion of small hard particles, leading to foreign object damage. This can take the form of sharp V-notches in the leading edge of blades and there is a need to predict the initiation and propagation behaviour of fatigue cracks growing from the base of the notch. The notch geometry is quite extreme and is not normally covered in standard references for notch stress concentration factors. Similarly, stress intensity factor solutions for this geometry are not widely available. This paper uses the dislocation density approach to solve the two-dimensional elastic problem of a V-notch with a radiused root. Stress concentration factors are found for the notch itself, and stress intensity factors are determined for cracks growing away from the notch for cases of applied and residual stress distributions. Comparisons are made with existing notch solutions from the literature.

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4

Horníková, Jana, Pavel Šandera, Stanislav Žák, and Jaroslav Pokluda. "Stress Intensity Factors for Cracks Emanating from a Notch under Shear-Mode Loading." Key Engineering Materials 774 (August 2018): 48–53. http://dx.doi.org/10.4028/www.scientific.net/kem.774.48.

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The influence of the notch geometry on the stress intensity factor at the front of the emanating cracks is well known for the opening loading mode. The critical length of the crack corresponding to a vanishing of the influence of the notch stress concentration can be approximately expressed by the formula aI,c = 0.5ρ(d/ρ)1/3, where d and ρ are the depth and radius of the notch, respectively. The aim of the paper was to find out if this formula could be, at least nearly, applicable also to the case of shear mode loading. The related numerical calculations for mode II and III loading were performed using the ANSYS code for various combinations of notch depths and crack lengths in a cylindrical specimen with a circumferential U-notch. The results revealed that, for mode II loading, the critical length was much higher than that predicted by the formula for mode I loading. On the other hand, the critical lengths for mode I and mode III were found to be nearly equal.

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5

Karim Hussain, Mirzaul, and K. S. R. K. Murthy. "Numerical Estimation of Notch Stress Intensity Factors of Sharp V-Notches." MATEC Web of Conferences 172 (2018): 03001. http://dx.doi.org/10.1051/matecconf/201817203001.

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In the present work a simple and efficient least squares method is implemented for accurate estimation of notch stress intensity factors (NSIFs) of sharp V-notches. Finite element (FE) stress components near a notch tip is used in the present method for determining the NSIFs. Pure mode I and mixed mode (I/II) examples are considered for numerical investigations. The mixed mode stress components are disintegrated into opening mode and shear mode stress components to separate out the mode I and mode II singularities. Thereafter, least squares method is implemented to calculate mixed mode NSIFs. The present method is easy to incorporate in existing standard finite element codes. The results obtained by the present method are found to be in good agreement with the published data.

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6

Fodil, Lahouari, Abdallah El Azzizi, and Mohammed Hadj Meliani. "Estimation of Mixed-Mode Stress Intensity Factors with Presence of the Confinement Parameters T-Stress and A₃." Advanced Engineering Forum 18 (September 2016): 52–57. http://dx.doi.org/10.4028/www.scientific.net/aef.18.52.

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A failure criterion is proposed for ductile fracture in U-notched components under mixed mode static loading. The Compact Tension Shear (CTS) is the preferred test specimen used to determine stress intensity factor in the mode I, mode II and the mixed-mode fracture. In this work, the mode I and mode II stress intensity factors were computed for different notch ratio lengths 0.1<a/W<0.7, of the inner radius of notch 0.25mm<ρ<4mm and load orientation angles 0°<α< 90° using finite element analysis. However, a review of numerical analysis results reveals that the conventional fracture criteria with only stress intensity factors (NSIFs) Kρ first term of Williams’s solution provide different description of stress field around notch zone comparing with results introduce the second and third parameter T-stress and A3.

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7

Li, You Tang, Zhi Yuan Rui, and Chang Feng Yan. "A New Method to Calculate Dynamic Stress Intensity Factor for V-Notch in a Bi-Material Plate." Key Engineering Materials 385-387 (July 2008): 217–20. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.217.

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The stress singularity eigen-equation for V-notch in a bi-material plate is obtained. A new definition of dynamic stress intensity factor of a crack perpendicular to bi-material interface is put forward, and then is extended to any V-notch in bi-material plate. A formula of stress extrapolation method to calculate dynamic stress intensity factors of V-notch in bi-material plate is obtained. As an example, the three points bending sample with two materials is investigated.

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8

Turis, Matúš, Oľga Ivánková, Peter Burik, and Milan Držík. "Determination of Stress Intensity Factors under Shock Loading Using a Diffraction-Based Technique." Applied Sciences 11, no. 10 (May 17, 2021): 4574. http://dx.doi.org/10.3390/app11104574.

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An experimental optical method has been developed for the measurement of opening and sliding notch face movements. The light passing through a thin slit is monitored by a photodiode detector. Two parts of the slit are fixed independently on the notch faces of the simulated crack. Dynamic variations of the notch face movements are recorded as an electric signal by an oscilloscope. The sensitivity of such displacement measurement is comparable with the wavelength of light. Dynamic mixed-mode stress intensity factors under shock loading were evaluated from the data obtained and subsequently compared with a numerical simulation by ANSYS software. As it was approved, the technique has shown sufficient sensitivity, good linearity, and measurement reliability. Due to its non-destructive nature and overall robustness, the arrangement is applicable even for structural component condition determination taking into consideration potentially unknown boundary conditions and the non-linear character of mechanical parameters.

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9

RADAJ, D. "T-stress corrected notch stress intensity factors with application to welded lap joints." Fatigue & Fracture of Engineering Materials & Structures 33, no. 6 (March 11, 2010): 378–89. http://dx.doi.org/10.1111/j.1460-2695.2010.01454.x.

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10

Pang, H. L. J. "Stress analysis of short weld toe cracks." Journal of Strain Analysis for Engineering Design 28, no. 1 (January 1, 1993): 1–4. http://dx.doi.org/10.1243/03093247v281001.

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Finite element analysis of weld toe cracks was used to determine the J integral and hence stress intensity factors based on elastic and elastic-plastic conditions. For a given fillet notch geometry, the results showed that the elastic solution overestimated stress intensity factors for short weld toe cracks, below 0.5 mm deep, under applied stresses which were around half the magnitude of the yield stress.

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11

Zebri, O., H. El Minor, and A. Bendarma. "Evolution of Tenacity in Mixed Mode Fracture – Volumetric Approach." Mechanics and Mechanical Engineering 22, no. 4 (September 2, 2020): 931–38. http://dx.doi.org/10.2478/mme-2018-0073.

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AbstractIn fracture mechanics most interest is focused on stress intensity factors, which describe the singular stress field ahead of a crack tip and govern fracture of a specimen when a critical stress intensity factor is reached. In this paper, stress intensity factors which represents fracture toughness of material, caused by a notch in a volumetric approach has been examined, taking into account the specific conditions of loading by examining various U-notched circular ring specimens, with various geometries and boundary conditions, under a mixed mode I+II. The bend specimens are computed by finite element method (FEM) and the local stress distribution was calculated by the Abaqus/CAE. The results are assessed to determine the evolution of the stress intensity factor of different notches and loading distances from the root of notch. This study shows that the tenacity is not intrinsic to the material for all different geometries notches.

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12

Colussi, M., P. Ferro, F. Berto, and G. Meneghetti. "The peak stress method to calculate residual notch stress intensity factors in welded joints." Fatigue & Fracture of Engineering Materials & Structures 41, no. 4 (December 29, 2017): 727–38. http://dx.doi.org/10.1111/ffe.12757.

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13

Zhao, W., and X. R. Wu. "STRESS INTENSITY FACTORS FOR CORNER CRACKS AT A SEMI-CIRCULAR NOTCH UNDER STRESS GRADIENTS." Fatigue & Fracture of Engineering Materials and Structures 13, no. 4 (July 1990): 347–60. http://dx.doi.org/10.1111/j.1460-2695.1990.tb00606.x.

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14

Liu, Wei, Zhaoyang Ma, Longkang Li, and Zhongwen Yue. "Photoelastic evaluation of stress fields and notch stress intensity factors for blunt V-notches." Theoretical and Applied Fracture Mechanics 110 (December 2020): 102806. http://dx.doi.org/10.1016/j.tafmec.2020.102806.

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15

Lin, X. B., and R. A. Smith. "Stress intensity factors for semi-elliptical surface cracks in semicircularly notched tension plates." Journal of Strain Analysis for Engineering Design 32, no. 3 (April 1, 1997): 229–36. http://dx.doi.org/10.1243/0309324971513364.

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Stress intensity factors for semi-elliptical surface cracks located at the centre of a semicircular edge notch in a finite thickness plate subjected to a remote tensile load are presented in a tabulated format. A wide range of geometry ratios are considered. They are all combinations of the following ratios: the ratio of crack surface half-length to plate half-thickness, c/t = 0.2, 0.4, 0.6, 0.8 and 0.95; the ratio of crack depth to surface half-length, a/c = 0.2, 0.4, 0.6, 0.8 and 1; and the ratio of notch radius to plate half-thickness, r/t = 0.5, 1, 2 and 3. Both the quarter-point displacement and J.-integral methods based on three-dimensional finite element analyses were employed for the calculation of stress intensity factors. The calculation accuracy was studied by analysing the J.-integral path independence and comparing stress intensity factor results with other solutions available in the literature.

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16

Hedia, Hassan S. M., Mohamed A. N. Shabara, Ahmed A. Fattah, and Mahmoud M. K. Helal. "Effect of notch configuration and pre-crack length on stress intensity factors." Materials Testing 47, no. 10 (October 2005): 561–67. http://dx.doi.org/10.3139/120.100690.

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17

Ju, S. H., H. Y. Chung, and B. J. Jhao. "Experimental calculation of mixed-mode notch stress intensity factors for anisotropic materials." Engineering Fracture Mechanics 76, no. 14 (September 2009): 2260–71. http://dx.doi.org/10.1016/j.engfracmech.2009.07.012.

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18

Profant, Tomáš, Jan Klusák, Oldřich Ševeček, Michal Kotoul, Miroslav Hrstka, and Petr Marcián. "An Effect of the First Non-Singular Term of the Williams Asymptotic Expansion to the Stability of the Bi-Material Orthotropic Notch." Key Engineering Materials 592-593 (November 2013): 745–48. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.745.

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The domain of the generalized stress intensity factors dominance ahead of the notch tip can be rather small with respect to the length of the perturbing cracks initiated from the tip of the notch. Thus the non-singular terms of the stress asymptotic expansion at the notch tip would play an important role in the notch tip stability. Following the procedures dealing with complex potential theory and path-independent two-state integrals developed for the singular stress analysis of the stress concentrators one can evaluate their magnitude and include them to the energy release rate of the preexisting crack initiated from the notch tip applying the matched asymptotic procedure. The presented analysis should lead to better understanding of the notch stability process and precising of the notch stability criteria.

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19

Hyde, T. H., and A. Yaghi. "Peak stresses near narrow rectangular notches, with rounded corners, subjected to tensile and shear loading." Journal of Strain Analysis for Engineering Design 28, no. 1 (January 1, 1993): 5–11. http://dx.doi.org/10.1243/03093247v281005.

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The finite element method is used to determine the peak stress for narrow rectangular notches, with rounded corners, for a range of notch width to corner radius ratios, under mode I, mode II, and mixed-mode loading conditions. It is shown that the specific geometry and loading conditions are unimportant and that the loading is conveniently characterized by the mode I and mode II stress-intensity factors for an equivalent crack. Superposition of peak stresses for mode I and mode II conditions allows the peak stress in a semi-circular notch to be obtained from simple equations describing the surface tangential stress distributions. A notch shape factor, which dependes only on the notch width to corner radius ratio and mode-mixity parameter, is then used to modify the peak stress values obtained for a semi-circular notch. The method provides a relatively cheap and efficient means of determining stress concentration factors for what can appear to be complex geometries and loading situations.

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20

Žák, Stanislav, Jana Horníková, and Pavel Šandera. "Shear Mode Stress Intensity Factors for Serrated Crack Fronts." Key Engineering Materials 754 (September 2017): 214–17. http://dx.doi.org/10.4028/www.scientific.net/kem.754.214.

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The paper is related to experiments on near-threshold fatigue cracks under shear modes II, III and II+III in bcc metals. Cylindrical bars with circumferential cracked notch were loaded by shear force. In-plane precracks with microtortuous geometry were created by compressive cyclic loading in mode I to measure the effective values of the remote crack driving force. Fatigue cracks in bcc metals loaded under remote shear modes II, III and II+III always grew by creation of local tongues loaded in mode II and their coalescence. Therefore, serrated precrack fronts of a linear roughness identical to those of the real fronts were modeled and the related local stress intensity factors k2 were calculated. Since such FEM calculation for various values of roughness were time consuming, a further task was to identify a lowest number of isolated teeth that produces k2 components identical with those created by the continuously serrated crack front. The results reported in this article reveal that this condition is fulfilled by only two isolated teeth.

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21

Ferro, Paolo, Filippo Berto, and Giovanni Meneghetti. "Calculation of 3D residual notch stress intensity factors by means of the peak stress method." Theoretical and Applied Fracture Mechanics 100 (April 2019): 377–82. http://dx.doi.org/10.1016/j.tafmec.2019.01.032.

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22

Ciavarella, M., and G. Demelio. "On the extraction of notch stress intensity factors by the post-processing of stress data on the free edges of the notch." Journal of Strain Analysis for Engineering Design 35, no. 3 (April 1, 2000): 221–26. http://dx.doi.org/10.1243/0309324001514369.

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Following on the lines of a previous paper dedicated to cracked components by Ciavarella et al., here the case of a notch of semi-angle α is considered. Contrary to the crack case (α = 180°), the free edges of the notch are easily accessible to experimental analysis; moreover they provide information about all the terms of the Williams series expansion of the stress field about the notch apex, including the most important, i.e. the symmetric and antisymmetric singular term notch stress intensity factors (N-SIFs), whereas for the crack case the mode I N-SIFs cannot be extracted from those stresses. Another important different feature is that symmetric and antisymmetric N-SIFs have different singularities, and in several cases they are so close that their contributions tend to overlap. Therefore, a simple procedure is here proposed to use radial stresses, to separate their symmetric and antisymmetric contributions a priori by computing the sum and difference of the stresses on the two edges, to post-process these quantities in the ‘asymptotic region’ with standard least-squares techniques and to extract the N-SIFs. The method is applied to a simple case known in the literature and solved by means of a boundary element code, and the results are almost coincident with previous results, even with quite coarse mesh discretizations.

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23

Wang, Zhi, Jiajia Zhou, and Long Li. "Fracture Mechanical Properties of Rocklike Materials Under Half Symmetric Loading." Archives of Civil Engineering 63, no. 4 (December 1, 2017): 71–82. http://dx.doi.org/10.1515/ace-2017-0041.

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AbstractThe authors studied the fracture mechanical properties under half-symmetric loading in this paper. The stress distribution around the crack tip and the stress intensity factor of three kinds of notched specimens under half symmetric loading were compared. The maximum tensile stress σmax of double notch specimens was much greater than that of single notch specimens and the maximum shear stress τmax was almost equal, which means that the single notch specimens were more prone to Mode II fractures. The intensity factors KII of central notch specimens were very small compared with other specimens and they induced Mode I fractures. For both double notch and single notch specimens, KII was kept at a constant level and did not change with the change of a/h, and KII was much larger than KI. KII has the potential to reach its fracture toughness KIIC before KI and Mode II fractures occurred. Rock-like materials were introduced to produce single notch specimens. Test results show that the crack had been initiated at the crack tip and propagated along the original notch face, and a Mode II fracture occurred. There was no relationship between the peak load and the original notch length. The average value of KIIC was about 0.602 MPa×m1/2, and KIIC was about 3.8 times KIC. The half symmetric loading test of single notch specimens was one of the most effective methods to obtain a true Mode II fracture and determine Mode fracture toughness.

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24

Wei, Changjian, and Hong Tae Kang. "A notch stress method for fatigue life prediction of spot-welded joints." MATEC Web of Conferences 300 (2019): 19003. http://dx.doi.org/10.1051/matecconf/201930019003.

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Spot-welded joints are widely used in the construction of vehicle structures and frequently become critical locations for fatigue failure. Hence, it is essential to have reliable fatigue life prediction method for the spot-welded joints during vehicle structure design. In this paper, a new notch stress approach is developed for fatigue life prediction of the spot-welded joints. Currently, structural stress methods are widely used in automotive industry for fatigue life prediction of spot-welded joints. However, these methods are not well considering local geometry information. This paper introduces a notch stress based method to overcome the limitation of the structural stress methods. In the notch stress method, stress concentration factors for spot-welded joints are calculated from stress intensity factor equations. Then, the notch stress method is validated with fatigue test results of lap-shear and coach peel specimens.

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25

Lazzarin, P. "Notch stress intensity factors and fatigue strength of aluminium and steel welded joints." International Journal of Fatigue 23, no. 3 (March 2001): 225–32. http://dx.doi.org/10.1016/s0142-1123(00)00086-4.

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26

Ferro, P., F. Berto, and T. Borsato. "Thermal load-induced notch stress intensity factors derived from averaged strain energy density." Procedia Structural Integrity 2 (2016): 2367–74. http://dx.doi.org/10.1016/j.prostr.2016.06.296.

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27

Philipps, A. G., S. Karuppanan, C. M. Churchman, and D. A. Hills. "Crack tip stress intensity factors for a crack emanating from a sharp notch." Engineering Fracture Mechanics 75, no. 18 (December 2008): 5134–39. http://dx.doi.org/10.1016/j.engfracmech.2008.08.002.

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28

Zappalorto, M., P. Lazzarin, and F. Berto. "Elastic notch stress intensity factors for sharply V-notched rounded bars under torsion." Engineering Fracture Mechanics 76, no. 3 (February 2009): 439–53. http://dx.doi.org/10.1016/j.engfracmech.2008.11.008.

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29

Chiang, C. R. "Evaluation of the stress intensity factors from solutions of the corresponding notch problems." International Journal of Fracture 42, no. 3 (March 1990): R61—R63. http://dx.doi.org/10.1007/bf00013224.

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30

Lazzarin, P., and M. Zappalorto. "Plastic notch stress intensity factors for pointed V-notches under antiplane shear loading." International Journal of Fracture 152, no. 1 (July 2008): 1–25. http://dx.doi.org/10.1007/s10704-008-9260-0.

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31

Kazberuk, A. "Stress intensity factors for cracks at the vertex of a rounded V-notch." Materials Science 45, no. 5 (September 2009): 676–87. http://dx.doi.org/10.1007/s11003-010-9231-2.

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32

Matvienko, Yury. "Safety factors in structural integrity assessment of components with defects." International Journal of Structural Integrity 4, no. 4 (November 15, 2013): 457–76. http://dx.doi.org/10.1108/ijsi-09-2012-0022.

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Purpose – The purpose of this paper is to develop basic principles of deterministic structural integrity assessment of a component with a crack- or notch-like defect by including safety factors against fracture and plastic collapse in criteria equations of linear and nonlinear fracture mechanics. Design/methodology/approach – The safety factors against fracture are calculated by demanding that the applied critical stress should not be less than the yield stress of the material for a component with a crack or a notch of the acceptable size. Structural integrity assessment of the engineering components damaged by crack- or notch-like defects is discussed from view point of the failure assessment diagram (FAD). The methodology of the FAD has been employed for the structural integrity analysis and assessment of acceptable sizes of throw-thickness notch in a plate under tension and surface longitudinal notch-like defects in a pressure vessel. Findings – Basic equations have been presented to calculate the safety factor against fracture for critical values of the stress intensity factor, crack tip opening displacement (CTOD), the J-integral and the FAD as well as to estimate an acceptable (safe) region for an engineering component with a crack- or notch-like defect of the acceptable size. It was shown that safety factors against fracture depend on both the safety factor against plastic collapse and employed fracture mechanics criterion. The effect of crack/notch tip constraint is incorporated into criteria equations for the calculation of safety factors against fracture. Originality/value – The deterministic method of fracture mechanics is recommended for structural integrity assessment of a component with a crack- or notch-like defect by including safety factors against fracture and plastic collapse in criteria equations of linear and nonlinear fracture mechanics.

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33

Lin, S., and D. A. Hills. "Stress intensity factors for cracks emanating from a semicircular notch in a half-plate." Journal of Strain Analysis for Engineering Design 31, no. 6 (November 1, 1996): 433–39. http://dx.doi.org/10.1243/03093247v316433.

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Two methods are developed for determining the stress intensity factors arising at the tip of a crack growing from a semicircular surface notch. The dislocation density method and boundary element formulations are employed, and the technique developed may be readily extended to notches of different forms, and arbitrarily positioned or shaped cracks, while retaining numerical efficiency.

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34

Binienda, W. K. "Stress Intensity Factors for Fully Interacting Cracks in a Multicrack Solid." Journal of Offshore Mechanics and Arctic Engineering 116, no. 2 (May 1, 1994): 56–63. http://dx.doi.org/10.1115/1.2920133.

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An essential part of describing the damage state and predicting the damage growth in a multicracked plate is the accurate calculation of stress intensity factors (SIF). Here, a methodology and rigorous solution formulation for SIF of a multicracked plate, with fully interacting cracks, subjected to a far-field arbitrary stress state is presented. The fundamental perturbation problem is derived, and the steps needed to formulate the system of singular integral equations whose solution gives rise to the evaluation of the SIF are identified. This analytical derivation and numerical solution are obtained by using intelligent application of symbolic computations and automatic FORTRAN generation capabilities in form of symbolic/FORTRAN package, named SYMFRAC, that is capable of providing accurate SIF at each crack tip. The accuracy of the results has been validated for the two parallel interacting crack problem. Limits and sensitivity of the results for the problem of a horizontal notch interacting with ten microcracks have been analyzed.

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35

Dong, Yan, Y. Garbatov, and C. Guedes Soares. "Recent Developments in Fatigue Assessment of Ships and Offshore Structures." Journal of Marine Science and Application 21, no. 4 (December 2022): 3–25. http://dx.doi.org/10.1007/s11804-022-00301-x.

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AbstractA review is provided of various approaches that have been adopted recently to assess the fatigue of ships and offshore structures. The relevant fatigue loading is reviewed first, focusing on the successive loading and unloading of the cargo and the transient loadings. The factors influencing fatigue strength are discussed, including the geometrical parameters, material, residual stress, and ones related to the environment. Different approaches for fatigue analyses of seam-welded joints are covered, i.e., the structural stress or strain approach, the notch stress or strain approach, notch intensity approach, and the crack propagation approach.

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36

Gray, T. G. F., F. Tournery, J. Spence, and D. Brennan. "Closed-form functions for elastic stress concentration factors in notched bars." Journal of Strain Analysis for Engineering Design 30, no. 2 (April 1, 1995): 143–54. http://dx.doi.org/10.1243/03093247v302143.

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The closed-form equations given are based on the results of finite element analyses of double-edge-notched plates subject to tension or in-plane bending. The notch dimensions were varied in a parametric survey from shallow, part-circular forms to deep, sharp, slits with semi-circular ends, giving stress concentration factors varying from 1.2 to 13 (net stress basis). The concept of a configuration factor for notches, similar to that used to calculate crack-tip stress field intensity factors, is introduced. It is shown in the first instance that the analogous crack configuration factor can be used directly to modify the elastic stress concentration factor for an elliptical hole, giving closed-form functions that do not involve empirical fitting constants and have acceptable practical accuracy. Reasons for the effectiveness of this form are given, together with an analysis of the points where the notch stress concentration factors diverge from the simple closed form. Further refinements that improve accuracy are given and comparisons are also made with stress concentration factors for hyperbolic edge notches.

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37

Livieri, Paolo, and Roberto Tovo. "Stress Intensity Factor for Cracks at the Toe of Welded Joints." Key Engineering Materials 348-349 (September 2007): 257–60. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.257.

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This paper proposes a method for evaluation of the Stress Intensity Factors (SIFs) of embedded cracks lying along the bisector of the welded toe angle. The SIFs are calculated on the basis of the JV parameter (extension of the J-integral to a sharp V-notch) for a path radius equal to the crack extension without modelling the crack. The numerical calculations in the paper show the stability of the proposed method also with course meshes.

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38

Zhao, X. C., X. R. Wu, and D. H. Tong. "Weight functions and stress intensity factors for pin-loaded single-edge notch bend specimen." Fatigue & Fracture of Engineering Materials & Structures 38, no. 12 (August 4, 2015): 1519–28. http://dx.doi.org/10.1111/ffe.12343.

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Yu, Tiantang, and Luyang Shi. "Determination of sharp V-notch stress intensity factors using the extended finite element method." Journal of Strain Analysis for Engineering Design 47, no. 2 (January 9, 2012): 95–103. http://dx.doi.org/10.1177/0309324711433981.

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Treifi, Muhammad, and S. Olutunde Oyadiji. "Bi-material V-notch stress intensity factors by the fractal-like finite element method." Engineering Fracture Mechanics 105 (June 2013): 221–37. http://dx.doi.org/10.1016/j.engfracmech.2013.04.006.

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41

Osipov, N. L., V. A. Pirozhkov, and I. S. Chabunin. "Strength of polymer composites used in automotive industry." Izvestiya MGTU MAMI 8, no. 2-1 (January 20, 2014): 45–47. http://dx.doi.org/10.17816/2074-0530-67671.

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The article is devoted to research on the impact of the size of a curvature radius of fracture-like notch apex on the critical values of the stress intensity factors in the dispersion-reinforced composite materials.

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42

Ikeda, Toru, Isao Arase, Yuya Ueno, Noriyuki Miyazaki, Nobutaka Ito, Mami Nagatake, and Mitsuru Sato. "Strength Evaluation of Plastic Packages During Solder Reflow Process Using Stress Intensity Factors of V-Notch." Journal of Electronic Packaging 125, no. 1 (March 1, 2003): 31–38. http://dx.doi.org/10.1115/1.1525244.

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A crack initiated from a V-notch corner in the molding resin, such as a corner of die pad, is one of the main causes of the failure in plastic packages. The stress intensity factors of the asymptotic solution of a corner of jointed dissimilar materials are utilized for the evaluation of a solder reflow crack in a quad flat package (QFP). First, we estimate the critical vapor pressure, which causes a crack from a corner in the molding resin, using the critical stress intensity factor of a V-notch corner. This critical factor was measured by V-notched three-point bending tests and the displacement extrapolation method along with the three dimensional (3-D) finite element method (FEM). Moisture concentration in the QFP after absorption is analyzed, and vapor pressure caused by the solder reflow process is estimated. The critical moisture absorption time, which results in crack occurrence during the solder reflow process, can be predicted using this evaluation technique. Furthermore, we perform infrared solder reflow tests of the QFP for verifying the present failure evaluation technique.

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Brighenti, Roberto, Andrea Carpinteri, and Sabrina Vantadori. "Influence of Residual Stresses on Fatigue Crack Propagation in Pearlitic Cold-Drawn Steel Wires." Materials Science Forum 681 (March 2011): 229–35. http://dx.doi.org/10.4028/www.scientific.net/msf.681.229.

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The aim of the present paper is to evaluate the effect of residual stresses, due to cold-drawing process, on the fatigue crack propagation in a pearlitic steel wire with a V-shaped circumferential notch. In order to analyse the effect of the notch severity on the residual stress distribution, three different values of the notch root radius are examined. The residual stress distributions in the reduced cross-section of such wires are numerically evaluated through FE analyses which simulate the material removing operation in the notched region. The stress-intensity factors (SIFs) related to tension loading and residual stresses are computed. Then, the crack propagation under cyclic tension combined with the residual stresses is analysed by taking into account the above SIF values and the actual stress ratio, which is different from that due to cyclic tension only.

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Campagnolo, Alberto, Paolo Ferro, Luca Romanin, and Giovanni Meneghetti. "Residual Notch Stress Intensity Factors in Welded Joints Evaluated by 3D Numerical Simulations of Arc Welding Processes." Materials 14, no. 4 (February 8, 2021): 812. http://dx.doi.org/10.3390/ma14040812.

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Approaches based on calculating Residual Notch Stress Intensity Factors (R-NSIFs) assume the weld toe to be a sharp V-notch that gives rise to a residual singular stress distribution close to the weld toe. Once R-NSIFs are determined, they might be included in local fatigue criteria for the structural strength assessment of welded joints based on NSIFs due to external cyclic loading. However, the numerical calculation of R-NSIFs through finite element (FE) simulations of the welding process requires extremely refined meshes to properly capture the residual stress singularity. In this context, the Peak Stress Method (PSM) has recently been adopted to estimate R-NSIFs due to residual stresses by means of coarse meshes of 2D 4-node plane or 3D 8-node brick elements. The aim of this work is to investigate the applicability of the PSM to estimate R-NSIFs in a butt-welded joint using coarse meshes of 3D 10-node tetra elements. The R-NSIF distribution at the weld toe line is estimated by applying the PSM to coarse meshes of 3D 10-node tetra elements, and the results are in agreement with those obtained using 3D 8-node brick elements. Accordingly, the PSM based on tetra elements further enhances the rapid estimation of R-NSIFs using coarse meshes and could be effective in analyzing complex 3D joint geometries.

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Zergot, Souad, Mustafa Moussaoui, and Brahim Elkhalil Hachi. "Evolution of Crack Propagation Rate in Notched Specimens Using XFEM Method under Bending Load Condition." Annales de Chimie - Science des Matériaux 46, no. 3 (June 30, 2022): 155–62. http://dx.doi.org/10.18280/acsm.460307.

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The crack initiation and propagation often occur in structures subjected to fatigue loads and their privileged sites it is the geometric discontinuity in particular the notches. The geometric configuration of the notches always leads to disturbances of stress fields in the vicinity of the notch end as a consequence of the effects on the crack initiation site and on the crack rate. The present study is interested to the evolution of crack speed propagation in the notched specimens subjected to bending. The specimens chosen are made of PMMA material containing two opposite notches U or V that presented two different parameters, a radius for U-notch and angle for V-notch. The variations taken into account for the sharp notches (V-notch) going from the small angle to the large angle, which are 30°; 45°, 90°, and 140°, and for blunt notches (U-notch) the radius takes the different values 0.5, 1, 1.5, and 2 mm. The fracture brittle behavior adapted to this material led to predict the Fatigue crack growth using a modified form of Paris’s law with the equivalent stress intensity factor (ΔKeq) relying on extended finite element method (XFEM) in order to follow the interaction between the notch and the crack on one side and study the evolution of crack growth rate to another side. The variations, which brought to these parameters entailed an influence on the crack propagation speed, which was born at the end of notch of component as well as the variations of equivalent notch intensity stress factors (ΔKeq). The variations made to the parameters of notches have a huge influence on the crack propagation rate.

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Campagnolo, Alberto, and Giovanni Meneghetti. "Rapid estimation of notch stress intensity factors in 3D large-scale welded structures using the peak stress method." MATEC Web of Conferences 165 (2018): 17004. http://dx.doi.org/10.1051/matecconf/201816517004.

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The Peak Stress Method (PSM) is an engineering, FE-oriented application of the notch stress intensity factor (NSIF) approach to fatigue design of welded joints, which takes advantage of the singular linear elastic peak stresses from FE analyses with coarse meshes. Originally, the PSM was calibrated to rapidly estimate the NSIFs by using 3D, eight-node brick elements, taking advantage of the submodeling technique. 3D modelling of large-scale structures is increasingly adopted in industrial applications, thanks to the growing spread of high-performance computing (HPC). Based on this trend, the application of PSM by means of 3D models should possibly be even more speeded up. To do this, in the present contribution the PSM has been calibrated under mode I, II and III loadings by using ten-node tetra elements, which are able to directly discretize complex 3D geometries without the need for submodels. The calibration of the PSM has been carried out by analysing several 3D mode I, II and III problems. Afterwards, an applicative example has been considered, which is relevant to a large-scale steel welded structure, having overall size on the order of meters. Two 3D FE models, having global size of tetra elements equal to 5 and 1.66 mm, have been solved by taking advantage of HPC, being the global number of degrees of freedom equal to 10 and 140 millions, respectively. The NSIFs values estimated at the toe and root sides according to the PSM have been compared with those calculated by adopting a shell-to-solid technique.

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Duan, Jingbo, Xianfang Li, and Yongjun Lei. "A note on stress intensity factors for a crack emanating from a sharp V-notch." Engineering Fracture Mechanics 90 (August 2012): 180–87. http://dx.doi.org/10.1016/j.engfracmech.2012.04.023.

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Gray, T. G. F., F. Tournery, and J. Spence. "Analysis of stress concentration factors for stepped plates based on a crack tip stress intensity approach." Journal of Strain Analysis for Engineering Design 31, no. 3 (May 1, 1996): 197–204. http://dx.doi.org/10.1243/03093247v313197.

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The analytical equations given for stress concentration factors are based on the results of finite element analysis of stepped plates subject to uniaxial tension loading. The fillet radii at the stepped transitions were varied over a wide range, leading to elastic stress concentration factors between 1.1 and 8.3 (net stress basis). The parametric equations depend on the previously described concept of a ‘notch configuration factor’. This is similar to the crack configuration factor or compliance function used to modify the basic crack tip stress intensity solutions in the case of finite width or other problems. In the present case of the stepped plate, an energy approach was used to relate the sharp corner stress field to the corresponding sharp crack field, leading to a ‘sharp corner configuration factor’. This factor was then applied to the equation for the stress concentration factor at an elliptical hole in an infinite plate, to give a simple analytical expression for the stepped plate with a radiused fillet. The basic expression was refined further to improve the quality of fit, to an accuracy of 2 per cent with respect to the finite element models.

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Philipps, A. G., S. Karuppanan, N. Banerjee, and D. A. Hills. "Crack tip stress intensity factors for a crack emanating from a semi-infinite notch with application to the avoidance of fatigue in complete contacts." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 4 (December 11, 2008): 789–94. http://dx.doi.org/10.1243/09544062jmes1178.

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Crack tip stress intensity factors are found for the problem of a short crack adjacent to the apex of a notch, and lying perpendicular to one of the notch faces. Loading is represented by the two Williams eigensolutions, the ratio between which provides a reference length scale and permits a comprehensive display of the solution. The results are applied to the problem of a crack starting from the edge of a notionally adhered complete contact, and conditions for the avoidance of crack development are found.

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Torii, Tashiyuki, Toshitsugu Onoe, and Kazuo Honda. "Stress Intensity Factors Evaluated from Discontinuous Displacements along a Slant Crack with a Center-Hole Notch." Transactions of the Japan Society of Mechanical Engineers Series A 61, no. 586 (1995): 1225–31. http://dx.doi.org/10.1299/kikaia.61.1225.

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