Weight function for circumferential semi-elliptical cracks in cylinders due to residual stress fields induced by welding

Zareei, Ahmad; Nabavi, S.M.

doi:10.1007/s00419-015-1087-3

Cited by 10 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consequently, approximate solutions with high accuracy are the alternative approach for solving engineering problems. Zareei and Nabavi, 21 according to the model presented by Shen and Glinka, 30 introduced a four‐term WF at the deepest point of the crack with two unknown parameters as

m ((), x, a) = \frac{2}{\sqrt{2 π (a - x)}} ([], 4 - 3 \frac{x}{a} + M_{1} {(1 - \frac{x}{a})}^{1 / 2} + M_{2} {(1 - \frac{x}{a})}^{3 / 2}) .

…”

Section: Wf At the Deepest Point Of The Crackmentioning

confidence: 99%

“…El Fakkoussi et al 17 and Coêlho et al 18 computed the SIF for an external longitudinal semielliptic crack in a cylinder using FEM. Shim et al 19 and Zareei and Nabavi 20,21 extracted a weight function (WF) for internal semielliptical circumferential cracks to determine SIFs for various loading states, including residual welding stress. Al‐Moayed et al 22 employed FE software ANSYS to determine the SIFs for a single semielliptical circumferential crack on a pressurized thick cylinder.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Weight function for an external circumferential semielliptical crack in a cylinder

Nabavi

Torbati

Jamal‐Omidi

2020

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

In this paper, the weight function was extracted at the deepest point of a semielliptical circumferential crack. The crack is assumed to exist on the outer surface of the cylinder. For this purpose, the three-dimensional finite element method was accomplished to specify two reference loads, which are indispensable for determining the weight function. The verification study confirms the accuracy of the derived weight function under prescribed mechanical loading on the crack surfaces. There is consistency among the solution results compared with those in the literature. The second part describes the application of the weight function for the thermal boundary conditions. Steady-state thermal stress intensity factors are demonstrated using the weight function and presented as a closed-form solution. The results were compared with the finite element data on the special case of thermal loading, and good agreement is obtained.cylinder, external semielliptical circumferential crack, steady-state thermal stress, stress intensity factors, weight function method

show abstract

m ((), x, a) = \frac{2}{\sqrt{2 π (a - x)}} ([], 4 - 3 \frac{x}{a} + M_{1} {(1 - \frac{x}{a})}^{1 / 2} + M_{2} {(1 - \frac{x}{a})}^{3 / 2}) .

…”

Section: Wf At the Deepest Point Of The Crackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Weight function for an external circumferential semielliptical crack in a cylinder

Nabavi

Torbati

Jamal‐Omidi

2020

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Researchers have extensively studied semielliptical surface cracks on the interior side of structures with circular cross-sections. They have also investigated and put forward a calculation theory and approach for determining the stress intensity factor of these cracks, taking into account the impact of the residual stress field [6][7]. The impact of welding residual stress on the fracture toughness of semi-elliptical cracks located on inner surfaces has been investigated [8].…”

Section: Introductionmentioning

confidence: 99%

Analysis of crack propagation of annular butt weld and distribution of weld-induced residual stress

Zhu,

Xia,

Jin

2024

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The circumferential surface crack propagation and the effect of weld-induced residual stress were analyzed to comprehensively understand the mechanical behavior and fracture resistance of dissimilar girth welded joints of steel castings. The evaluation of stress intensity factors is conducted for circumferential cracks on internal surfaces, aiming to predict the fracture toughness of dissimilar welded joints. The distribution of weld-induced residual stress is obtained by thermal elastic-plastic finite element methods. The impact of residual stress on the propagation of cracks is investigated through the application of extended finite element theory. The high-stress intensity factors were found in such dissimilar welded joints due to the local bending and distortion caused by the asymmetrical weld geometry. The tensile residual stress and distortion were applied to the weld root area and its vicinity. Both the asymmetrical weld geometry and tensile residual stress contribute to the tensile distortion of the inner surface around the weld root, and enable the growth of internal surface cracks in the circumferential direction and radially from inside out of the welded joint. The fracture resistance decreases with the simultaneous influence of residual stress and welds’ asymmetry.

show abstract

“…The use of fracture mechanics methods to calculate the effect of shot peening on the fracture parameters of the crack front is a viable approach. The method currently used is mainly based on the theory of linear elastic fracture mechanics, where the residual stress is linearly superimposed on the stress intensity factor of the external load acting alone [8,9]. Gao [10] used the XRD method to obtain the distribution curve of shot peening residual stresses along the depth, then used the weight function method to calculate the stress intensity factor of a single-sided notched tensile specimen.…”

Section: Introductionmentioning

confidence: 99%

Elasto-Plastic Fracture Mechanics Analysis of the Effect of Shot Peening on 300M Steel

Hou

Cai²,

Zhu³

et al. 2021

Materials

View full text Add to dashboard Cite

A modified J-integral calculation method is adopted to fix the problem of the quantitative evaluation of the crack propagation of shot-peened structures. Considering the residual stress, residual strain, and residual strain energy, the effect of shot peening on the J-integral parameters of semi-elliptic surface crack fronts is quantitatively calculated and a method is provided for the performance evaluation of the shot peening layer. First, the shot peening process is simulated, then the fatigue crack is generated by changing the constraint condition and a far-field load is applied to calculate the J-integral parameters, crack propagation rate, and crack kinking angle. The effects of different crack depths and shot velocities on the fracture parameters are analyzed. The results show that the reduction in the J-integral value after shot peening decreases with the increase in the crack depth when the shot velocity is a certain value, which indicates that shot peening is more beneficial for suppressing the fatigue crack propagation. When the crack depth is greater than the depth of the compressive stress layer, shot peening accelerates the crack propagation. The reduction in the J-integral value decreases with the increase in shot velocity when the crack depth is a certain value; therefore, increasing shot velocity is more beneficial for retarding fatigue crack propagation.

show abstract

Weight function for circumferential semi-elliptical cracks in cylinders due to residual stress fields induced by welding

Cited by 10 publications

References 31 publications

Weight function for an external circumferential semielliptical crack in a cylinder

Weight function for an external circumferential semielliptical crack in a cylinder

Analysis of crack propagation of annular butt weld and distribution of weld-induced residual stress

Elasto-Plastic Fracture Mechanics Analysis of the Effect of Shot Peening on 300M Steel

Contact Info

Product

Resources

About