Reference stress intensity factors with application to weight functions for internal circumferential cracks in cylinders

Jones, I. S.; Rothwell, Glynn

doi:10.1016/s0013-7944(00)00111-9

Cited by 30 publications

(16 citation statements)

References 13 publications

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“…(6) are determined by DAM with 2 reference loading cases, the accuracy of the weight function in Eq. (5) is improved [17] and becomes more accurate than the universal weight function.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

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Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions

Kasivitamnuay

2016

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Abstract. Calculation of a stress intensity factor becomes more difficult when crack are subjected to a complicated stress distribution profile. A standard procedure called influence coefficients is inadequate because a stress profile may not be accurately represented by a polynomial function. This paper applies a piecewise linear approximation of stress profile and a weight function method to overcome that restriction. However, the typically adopted weight function, i.e. universal weight function, is replaced by a weight function, in which its form coincides with the analytical form. Although a new weight function consists of lesser number of terms, it is proved to be accurate when applies to a cracked-cylinder problem, e.g. internal part-through circumferential crack and internal fully circumferential crack under various complicated weld residual stress profiles. Using this simpler weight function and linearized approximation scheme led to a closed-form stress intensity factor solution, which is convenient for programming.

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“…(6) are determined by DAM with 2 reference loading cases, the accuracy of the weight function in Eq. (5) is improved [17] and becomes more accurate than the universal weight function.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…(5) and its coefficients in Eq. (16) and (17). The closed-form solution of an integration above is denoted as (K I,A ) i and is expressed as: …”

Section: Piecewise Linear Approximation Of K-solutionmentioning

confidence: 99%

Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions

Kasivitamnuay

2016

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“…For the cylinder with circumferential internal crack shown in Figure 1-(a), the mathematical form of the weight function is given by [29,33] ( , ) = 2…”

Section: Determination Of Sifs Using the Weight Function Approachmentioning

confidence: 99%

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Eshraghi

Soltani

2015

Theoretical and Applied Fracture Mechanics

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“…r m z ðr; z ¼ 0Þ). By using the weight function method [30][31][32] where h(r, s) is the weight function appropriate to the specimen geometry whose form has been calculated using FE simulations of the composite cylinder [27], r m z ðr; z ¼ 0Þ is the stress distribution given by Eq. (5) and E 0 m ¼ E m =ð1 À m 2 m Þ for plane strain and E 0 m ¼ E m for plane stress.…”

Section: The Matrix Shrinkage Function S Mmentioning

confidence: 99%

Characterisation of residual stresses in a single fibre composite with FBG sensor

Colpo

Humbert

Botsis

2007

Composites Science and Technology

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Reference stress intensity factors with application to weight functions for internal circumferential cracks in cylinders

Cited by 30 publications

References 13 publications

Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions

Simplified Weight Function for Calculating Stress Intensity Factor in Complicated Stress Distributions

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

Characterisation of residual stresses in a single fibre composite with FBG sensor

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