Economic considerations

Parks, P. C.

doi:10.1016/0005-1098(74)90072-7

Cited by 2 publications

(4 citation statements)

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“…Among the displacement-based methods of determining stress intensity factors, displacement extrapolation technique (DET), displacement correlation technique (DCT) and quarter point displacement technique (QPDT) are most widely used because of their simplicity and ease of implementation. The near crack tip nodal notation and the corresponding formulae of calculating stress intensity factors are shown in Figure 11 and (6)(7)(8), respectively. …”

Section: Comparison With Existing Cod Methodsmentioning

confidence: 99%

“…Popularly adopted methods include extrapolation of/(-estimates from crack surface displacements away from the crack tip [5], calculation of energy changes from two or more finite element analyses with variation of crack length [5][6][7], and evaluation of the J-integral along paths away from the crack tip [5]. Later, Parks [8] modified the energy method using a stiffness derivative approach so that only one finite element analysis is required. All these methods produced acceptable results at the time, with some requiting very fine meshes near the crack tip.…”

Section: Introductionmentioning

confidence: 99%

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A semi-infinite-crack model for determining mode I stress intensity factors using crack surface displacements

Lau

1996

Int J Fract

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A semi-infinite-crack model is used to supplement the conic section simulation method for determining stress intensity factors of finite cracked bodies under mode I loadings. The actual displaced crack surface profile is found by finite element analysis. For each crack surface segment between two neighbouring nodes, a set of model parameters is found by using the displacements of these two nodes. A stress intensity factor estimate is then calculated from the closed-form formula associated with the model. It is found that near-tip crack surface displacements produce model parameters that are sufficient for quantifying the stress intensity factor. The semiinfinite-crack model can be used either as a stand alone model or in conjunction with the ellipse simulation procedure to form a systematic approach. It is shown that this model can be applied to different geometries and loadings with excellent accuracy.

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Section: Comparison With Existing Cod Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A semi-infinite-crack model for determining mode I stress intensity factors using crack surface displacements

Lau

1996

Int J Fract

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“…The virtual crack extension (VCE) method [14][15][16][17], which is equivalent to a discrete computation of the d integral, can be viewed as a numerical differentiation technique. The implementation of VCE described here is an adaptation which allows geometrically nonlinear as well as linear problems to be analyzed.…”

Section: Virtual Crack Extension Methodsmentioning

confidence: 99%

“…The stress intensity factors were determined from the computed nodal forces from the first configuration and the computed nodal displacements from the second configuration using (13), (14) and (7). The equilibrium solutions for two separate configurations, corresponding to two different crack lengths, were computed.…”

Section: Mixed Mode Cases Using Nodal Releasementioning

confidence: 99%

Computation of membrane and bending stress intensity factors for thin, cracked plates

et al. 1995

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The crack tip stress fields for plate bending and membrane loading problems are reviewed and the four stress intensity factors that determine these fields are defined. These four stress intensity factors arise from use of Kirchhoff plate theory to account for the bending loads and two dimensional plane stress elasticity to account for the membrane loads. The energy release rate is related to the stress intensity factors and to the stress resultants of plate theory. Virtual crack extension, nodal release and modified crack closure integral methods are discussed for computing components of the energy release rate from finite element analyses of cracked plates. Sample computations of stress intensity factors for single and mixed mode cases are presented for a crack in an infinite plate. Sample computations of stress intensity factors for a double edge notched tension-torsion test specimen are given as well.

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Economic considerations

Cited by 2 publications

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A semi-infinite-crack model for determining mode I stress intensity factors using crack surface displacements

A semi-infinite-crack model for determining mode I stress intensity factors using crack surface displacements

Computation of membrane and bending stress intensity factors for thin, cracked plates

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