The perturbation series method based on the logarithm equation for fatigue crack growth prediction

Qiu, Zhiping; Zhu, Jingjing

doi:10.1016/j.tafmec.2019.102239

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…The results show that the fatigue crack growth (FCG) rate increases as the notch cycle (N) increases, which is a common behavior observed in fatigue cracks [18]. The base material (CT-BM) has a shorter fatigue life compared to the welding zones (RS, SZ, and AS), indicating that the weld joint has effectively hindered the expansion of fatigue cracks.…”

Section: Fatigue Crack Growth Behavior With Different Notch Locationsmentioning

confidence: 90%

Quasi-in-situ observation of fatigue crack growth behavior of friction stir welded 2024-T4 joint

Yang,

Samiuddin,

Chen

et al. 2024

Mater. Res. Express

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This study presents a quasi-in-situ observation of the fatigue crack growth behavior in a friction stir welded 2024-T4 joint. The microstructure and fatigue properties of the joint were investigated using electron backscatter diffraction (EBSD) technique, scanning electron microscopy (SEM), and fatigue crack growth tests. The fatigue crack growth behavior of the joint was examined by conducting fatigue crack growth tests with different notch locations. The results show that the sample with the notch in the stir zone (SZ) exhibited the highest resistance to fatigue crack growth, followed by the notched samples of the Advancing side (AS) and Retreating side (RS) weldments. Microstructural observations showed a homogeneous microstructure with a fine grain size in SZ and it was observed that this fine-grained structure significantly enhanced the material's resistance to fatigue crack growth. The experimental results were further analyzed using the Paris model to provide a quantitative understanding of the crack growth behavior. The study underlines the impact of microstructural characteristics and notch location on the fatigue performance of the weldment. Overall, the quasi-in-situ observations and experimental findings contribute to a comprehensive understanding of the fatigue crack growth behavior in friction stir welded 2024-T4 joints.

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Section: Fatigue Crack Growth Behavior With Different Notch Locationsmentioning

confidence: 90%

Quasi-in-situ observation of fatigue crack growth behavior of friction stir welded 2024-T4 joint

Yang,

Samiuddin,

Chen

et al. 2024

Mater. Res. Express

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show abstract

“…Ankang Cheng established a fatigue crack growth prediction model based on the energy principle (18). Zhiping Qiu proposed a disturbance order method for fatigue crack growth prediction considering the initial crack length error (19). M N M Husnain predicted fatigue crack growth from the perspective of damage tolerance (20).…”

Section: Introductionmentioning

confidence: 99%

Research on fatigue vulnerable details of cross beam joints after reinforcement for steel truss bridges

Jinhua,

Youwei,

Yueguang

et al. 2023

infconstr

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In this research, fatigue tests on full-size specimens are conducted for a steel cross-beam joint before and after reinforcement. Combined with a three-dimensional (3D) numerical simulation, the 3D stress parameters, and their redistribution rules study anew with a web crack and new crack initiation locations and fatigue weakness details are predicted. The research results include the following: 1) The empirical formula parameter m of the Z-axis stress for the new crack tip is approximately 0.05. 2) The fatigue performance of the web’s new crack tips is significantly improved by bolting reinforced steel plates, the stress range is reduced by 60%-98.78%, and the original crack stops growing in size. The health monitoring system can choose the predicted weak details as valid monitoring points so that the fatigue damage can be intelligently perceived after the reinforcement of steel bridges.

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“…The perturbation series solution is considered as a modification of the nominal solution obtained by the deterministic method. Due to its conspicuous features of high computational efficiency and good approximation accuracy [45], the perturbation method has been proven to be a valid and efficient approach in various fields, including structural dynamic response calculation [46], structural eigenvalue problems [47], fatigue crack growth evolution predicting [48,49] and so on. Recently, Qiu [50,51] has applied the perturbation theory to analyze the dynamic response of linear Hamiltonian systems and Birkhoffian systems with stochastic and interval uncertainties, respectively.…”

Section: Introductionmentioning

confidence: 99%

A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

sci¹

2021

AAMM

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In this paper, a novel symplectic conservative perturbation series expansion method is proposed to investigate the dynamic response of linear Hamiltonian systems accounting for perturbations, which mainly originate from parameters dispersions and measurement errors. Taking the perturbations into account, the perturbed system is regarded as a modification of the nominal system. By combining the perturbation series expansion method with the deterministic linear Hamiltonian system, the solution to the perturbed system is expressed in the form of asymptotic series by introducing a small parameter and a series of Hamiltonian canonical equations to predict the dynamic response are derived. Eventually, the response of the perturbed system can be obtained successfully by solving these Hamiltonian canonical equations using the symplectic difference schemes. The symplectic conservation of the proposed method is demonstrated mathematically indicating that the proposed method can preserve the characteristic property of the system. The performance of the proposed method is evaluated by three examples compared with the Runge-Kutta algorithm. Numerical examples illustrate the superiority of the proposed method in accuracy and stability, especially symplectic conservation for solving linear Hamiltonian systems with perturbations and the applicability in structural dynamic response estimation.

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The perturbation series method based on the logarithm equation for fatigue crack growth prediction

Cited by 3 publications

References 31 publications

Quasi-in-situ observation of fatigue crack growth behavior of friction stir welded 2024-T4 joint

Quasi-in-situ observation of fatigue crack growth behavior of friction stir welded 2024-T4 joint

Research on fatigue vulnerable details of cross beam joints after reinforcement for steel truss bridges

A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

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