Computing bounds to mixed-mode stress intensity factors in elasticity

Xuan, Zhaocheng; Khoo, Bee Luan; Li, Z.R.

doi:10.1007/s00419-005-0388-3

Cited by 12 publications

(7 citation statements)

References 17 publications

(11 reference statements)

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“…We should select the points (nodes) about the center of the crack edge for the extrapolation, the points near the crack tip and the end of the crack edge can make the extrapolation fail, see Fig. 6 in [27]. In this example we select node 4 and node 5 for the two points extrapolation for the stress intensity factor.…”

Section: Examplesmentioning

confidence: 96%

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An efficient method for computing local quantities of interest in elasticity based on finite element error estimation

2007

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We present an efficient finite element method for computing the engineering quantities of interest that are linear functionals of displacement in elasticity based on a posteriori error estimate. The accuracy of quantities is greatly improved by adding the approximate cross inner product of errors in the primal and dual problems, which is calculated with an inexpensive gradient recovery type error estimate, to the quantities obtained from the finite element solution. With less CPU time, the accuracy of the improved quantities obtained with the proposed method on the coarse finite element mesh is similar to that of the quantities obtained from the finite element solutions on the finer mesh. Three quantities related to the local displacement, local stress and stress intensity factor are computed with the proposed method to verify its efficiency.

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Section: Examplesmentioning

confidence: 96%

“…And thus we can obtain a(e * , * ) = O (e * ). Let us use the recovered stresses σ P * T and σ D * T in place of σ P T (u) and σ D T (ψ) in (26), (27), (28), respectively, then we have the approximate inner product of the errors on the element T…”

Section: Stress Recovery Technique For Output Errormentioning

confidence: 99%

An efficient method for computing local quantities of interest in elasticity based on finite element error estimation

2007

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“…Stress intensity factor (SIF) is used to consider as an important fracture parameter for assessing the fracture failure of structures, which has been effectively verified in many studies. At present, the methods of evaluating stress intensity mainly include displacement extrapolation method (Xuan et al, 2006;Awang et al, 2018), interaction integration method (Chen et al, 2018;Hou et al, 2018), extended finite element method (Pang et al, 2016;Benvenuti, 2017; Peng & Yang, 2020), etc. These methods play a major role in predicting stress intensity factors accurately.…”

Section: Introductionmentioning

confidence: 99%

Mixed Mode Fracture Assessment for Box Girder with Crack Damage under Combined Loads

Peng

Yang

Song

et al. 2022

IJME

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The box girder is an important structure which is widely used in the ship and marine engineering but has not extensively investigated fracture problem. The paper adopts the stress intensity factor (SIF) as the crack tip parameter to carry out the mixed mode fracture assessment of the box girder structure with crack damage. The bending load, torsion load and side load are firstly introduced to study box girder crack propagation. And the related influencing factors of crack length, crack type, combined loads, etc. are investigated emphatically. In analysis, crack growth angle is also analyzed to evaluate the crack growth. The results show that different load types have different contributions to crack propagation. And combined bending and torsion loads effect may be considered adopting a linear superposition principle under transverse cracks and larger angle cracks. When the side load is added, the area near the crack upper surface will be easy to occur unstable expansion. These conclusions will provide a guiding significance to evaluate the crack propagation of box girder.

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“…Two categories of numerical methods mostly used for computing SIFs are: (1) displacement matching, such as displacement extrapolation methods [20]; and (2) energy-based approaches, which include the crack closure integral method [21,22], the J-integral technique [23], and so on. The most popular approach is the displacement extrapolation method [24].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Finite Element Model for Simulating Crack Growth in the Presence of Holes

Alshoaibi

Fageehi

2021

Materials

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This study presents a developed finite element code written by Visual Fortran to computationally model fatigue crack growth (FCG) in arbitrary 2D structures with constant amplitude loading, using the linear elastic fracture mechanics (LEFM) concept. Accordingly, optimizing an FCG analysis, it is necessary to describe all the characteristics of the 2D model of the cracked component, including loads, support conditions, and material characteristics. The advancing front method has been used to generate the finite element mesh. The equivalent stress intensity factor was used as the onset criteria of crack propagation, since it is the main significant parameter that must be precisely predicted. As such, a criterion premised on direction (maximum circumferential stress theory) was implemented. After pre-processing, the analysis continues with incremental analysis of the crack growth, which is discretized into short straight segments. The adaptive mesh finite element method was used to perform the stress analysis for each increment. The displacement extrapolation technique was employed at each crack extension increment to compute the SIFs, which are then assessed by the maximum circumferential stress theory to determine the direction of the crack growth and predict the fatigue life as a function of crack length using a modified form of Paris’ law. The application examples demonstrate the developed program’s capability and performance.

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Computing bounds to mixed-mode stress intensity factors in elasticity

Cited by 12 publications

References 17 publications

An efficient method for computing local quantities of interest in elasticity based on finite element error estimation

An efficient method for computing local quantities of interest in elasticity based on finite element error estimation

Mixed Mode Fracture Assessment for Box Girder with Crack Damage under Combined Loads

Adaptive Finite Element Model for Simulating Crack Growth in the Presence of Holes

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