Weight function for a single edge cracked geometry with clamped ends

John, Reji; Kaldon, Stephen G.; Johnson, David A.; Çöker, Demirkan

doi:10.1007/bf00042825

Cited by 36 publications

(6 citation statements)

References 18 publications

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“…The SAWFM has been verified, assessed, 10,57,70 and successfully used by many researchers for a large variety of crack problems. 62,63,[70][71][72][73][74][75][76][77][78][79][80] It was favourably commented as "a systematic approach" 7 and "has a remarkable computational efficiency without compromising solution accuracy," 60 and was regarded as being "well established and widely used in the aerospace industry." 63 Many of the WFs have been incorporated into standards and…”

Section: Analytical Wfms For Msdmentioning

confidence: 99%

A review and verification of analytical weight function methods in fracture mechanics

2019

Fatigue Fract Eng Mat Struct

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The weight function method is a powerful method for the determination of key parameters of stress intensity factors and crack opening displacements that are fundamental for crack analyses in fracture mechanics. The method has a remarkable computational efficiency without compromising solution accuracy and is especially suited for cracks in real‐world components with complex stress gradients. A critical issue for successful development and reliable application of the weight function method is how to achieve verifiable and high solution accuracy. This paper provides several reflections on the current state of the art in weight function methods, including a brief historical perspective and description of several analytical and numerical weight methods, with main focus on the two‐dimensional (2D) analytical approaches. A variety of typical application examples are presented. A platform for point‐by‐point accuracy assessment by using the Green's functions is established on a completely independent numerical approach with validated accuracy. Rigorous and systematic verification of the accuracy levels of different 2D analytical weight function approaches are conducted using several benchmark crack geometries. The sources of inaccuracy of different analytical weight function methods are analysed. A brief account on weight function methods for analysing three‐dimensional (3D) crack problems with arbitrary univariant and bivariant stress distributions is provided.

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Section: Analytical Wfms For Msdmentioning

confidence: 99%

A review and verification of analytical weight function methods in fracture mechanics

2019

Fatigue Fract Eng Mat Struct

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“…In addition, before modeling the boundary condition of clamped ends, the current FE models were used to calculate the K solutions for free‐ends under tension. Comparisons were made with solutions in Jones et al The average percentage difference was 0.065% for the range of 0.05 < a/W < 0.7; for a/W = 0.8 and 0.9, they had a percent difference of 0.32% and 0.36%, respectively.…”

Section: Finite Element Modelsmentioning

confidence: 99%

Numerical verification of stress intensity factor solution for clamped single edge notched tension (SENT) specimens

Bassindale

Wang

Tyson

et al. 2017

Fatigue Fract Eng Mat Struct

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Stress intensity factor solutions for clamped single edge notched tension (SENT) specimens, including a closed‐form function recently proposed by Zhu along with a function by CanmetMATERIALS referenced in the British Standard BS 8571, have been assessed. Solutions for an SENT specimen with a daylight‐to‐width ratio of 10 have been compared with new finite element results generated in this work to assess their accuracies. The results of this study show that the polynomial proposed by Zhu differs by no more than 0.23% compared with the numerical results over the range of 0.2 ≤a/W ≤ 0.7. The CANMET function differs by no more than 0.69% over the same range.

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“…[13] The equations have been described elsewhere. [14] Figure 6 is da/dN vs ⌬K a plots for the SVI coated and unmodified SCS-0 composites.…”

Section: A Crack Length and Stress Intensity Factormentioning

confidence: 99%

Fatigue crack growth in Ti-matrix composites with spatially varied interfaces

Maruyama

Warrier

1999

Metall Mater Trans A

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Spatially varied interfaces (SVIs) is a design concept for composite materials where the interface mechanical properties are varied along the length and circumference of the fiber/matrix interface. These engineered interfaces can be used to modify critical titanium matrix composite properties such as transverse tensile strength and fatigue crack growth resistance in ways that produce a balanced set of properties. The SVI approach may also be used to probe interface failure mechanisms for the purpose of understanding complex mechanical phenomena. Single lamina Ti-6Al-4V matrix composites containing strongly bonded SiC fibers were fabricated both in the as-received condition and with a weak longitudinal stripe along the sides of the fibers. The striped SVI composites exhibited an increase in the overall fatigue crack growth life of the specimens compared to the unmodified specimens. This improvement was caused by an increased extent of debonding and crack bridging in SVI composites.

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Weight function for a single edge cracked geometry with clamped ends

Cited by 36 publications

References 18 publications

A review and verification of analytical weight function methods in fracture mechanics

A review and verification of analytical weight function methods in fracture mechanics

Numerical verification of stress intensity factor solution for clamped single edge notched tension (SENT) specimens

Fatigue crack growth in Ti-matrix composites with spatially varied interfaces

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