Stress intensity factor equations for part-elliptical cracks and their verification

Vainshtok, V. A.; Varfolomeyev, Igor

doi:10.1016/0013-7944(89)90246-4

Cited by 23 publications

(18 citation statements)

References 6 publications

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“…For example, for a semi-elliptical surface crack, the singularity of the stress ÿeld at the intersection point of the crack front with the surface of the body is not r −1=2 [27,28]. The value of K [26] in the MWF method were used, the errors on the value of K at all locations on the crack front. However, in the present method, the e ect would be limited to a small region near that location.…”

Section: Multiple Virtual Crack Extension Techniquementioning

confidence: 99%

“…In the Vainshtok and Varfolomeyev [26] work, an elliptical type of crack geometry was studied. Five kinds of 'crack front translations', two for elliptical expansions along its principal axes and two for rigid translations along these axes and one for rigid rotation about its centre, were used to deÿne the VCEs.…”

Section: Introductionmentioning

confidence: 99%

“…The procedure developed by Zhao and Wu [23,24] and Zhao and Newman et al [25] was based on the slice synthesis technique. The procedure developed by Vainshtok and Varfolomeyev [26] was based on a technique of expressing the geometric correction factor as the sum of some linearly independent functions.…”

Section: Introductionmentioning

confidence: 99%

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A novel technique for determination of histories of SIF distributions along 3D crack fronts of a body subjected to thermal shock

Huang

et al. 2004

Numerical Meth Engineering

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SUMMARYThe thermal weight function (TWF) is dependent only on the crack conÿguration and body geometry, and is independent of temperature ÿelds. TWF is independent of time during thermal shock, so the whole variation of transient stress intensity factors (SIFs) can be directly calculated through integration of products of TWF and transient temperatures and temperature gradients. The basic equation for the 3D TWF method for Mode I is derived. Then a novel technique, referred to as the multiple virtual crack extension (MVCE) technique, is proposed to solve the basic equations in the 3D TWF method. The specially selected linearly independent VCE modes are directly used as shape functions for the interpolation of unknown SIFs. The coe cient matrix of the ÿnal system of equations is a triplediagonal matrix and the values of the coe cients on the main diagonal are usually large. The system of equations has good numerical properties. The number of linearly independent VCE modes which can be introduced in a problem is unlimited. The complex situations that the SIFs vary dramatically along the crack fronts can be numerically well simulated by the MVCE technique. Examples show that the scheme is of very high e ciency and of good accuracy. The results show that the histories of SIF distributions along 3D crack fronts are very complex. In order to understand the behaviour of 3D cracks correctly it should be calculated in detail.

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Section: Multiple Virtual Crack Extension Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A novel technique for determination of histories of SIF distributions along 3D crack fronts of a body subjected to thermal shock

Huang

et al. 2004

Numerical Meth Engineering

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“…Such evaluation of K~-data in three-dimensional crack problems may become insufficient, as it was demonstrated for some part-through crack configurations [1]. Another way to check the quality of K~-results [2,3] is based on the evaluation of average, or integral, errors through the calculation of energy integrals associated with a cracked body.…”

mentioning

confidence: 99%

Error estimation of numerical stress intensity factors for semi-elliptical cracks

Varfolomeyev¹,

Busch

Petersilge

1995

Int J Fract

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A set of polynomial influence functions is derived for some typical cracks in nuclear reactor components. The crack geometries considered are circumferential and axial partelliptical cracks on the inner surface of a cylindrical pressure vessel. Based on the boundary-element method, the influence functions are calculated for a wide range of crack configuration parameters and at numerous kinds of polynomial crack-face loading. Based on the averaged error estimation technique, the efficiency of numerical analyses and the accuracy related solutions are shown to be rather high. The results on stress intensity factors are fitted by parametric formulae making use of the least-square procedure. The derived solutions are employed for crack analyses at pressurized thermal shock loading of a reactor pressure vessel, as well as for the verification of existing regulatory guides

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“…A modified integration p a t h for evaluating the energy relation if the stress intensity factor solution is not available d o w n to a/c = O. Quality factors R41 defined by (21) for several solutions: (a) interpolation ofTable 3by cubic splines and by use of the fitting formula (9); (b) formula of Newman and Raj u [2] and formula of Vainshtok and Varfolomeyev[5], based on the Newman/Raju results.…”

mentioning

confidence: 99%

Stress intensity factors for semi-elliptical surface cracks in a plate under tension based on the Isida's solution

Fett

1991

Int J Fract

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Stress intensity factor equations for part-elliptical cracks and their verification

Cited by 23 publications

References 6 publications

A novel technique for determination of histories of SIF distributions along 3D crack fronts of a body subjected to thermal shock

A novel technique for determination of histories of SIF distributions along 3D crack fronts of a body subjected to thermal shock

Error estimation of numerical stress intensity factors for semi-elliptical cracks

Stress intensity factors for semi-elliptical surface cracks in a plate under tension based on the Isida's solution

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