A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns

Sanford, R. J.; Dally, J. W.

doi:10.1016/0013-7944(79)90123-1

Cited by 330 publications

(124 citation statements)

References 9 publications

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“…Note that the sign conventions of a is negative of that used in References [2,7,8,11,12]. (0e) Obviously Fk = 0 when the theoretical and measured isochromatic coincides.…”

Section: Theorymentioning

confidence: 99%

“…The subsequent steps of extracting the optimized K I , KII, and ao using the least square method is a standard numerical procedure which is also identical to that of Reference [12] and thus will not be repeated. Basically, the procedure consists of a sequence of error reduction estimates AK I , AKII,…”

Section: Theorymentioning

confidence: 99%

“…In order to provide such theoretical comparison, theoretical isochromatics were generated using the same model fringe constant of fa/h = 1.73 MPa/fringe (250 psi/fringe), K I = .879 MPa Am (800 psi vTn) and KII of Reference [12). Mode I static and dynamic isochromatics have been studied by others [6,8,20] and thus many of the sample calculations in these references were reproduced as a partial check of the computer code developed for plotting dynamic isochromatics.…”

Section: Theoretical Isochromaticsmentioning

confidence: 99%

“…in the presence of combined K I and K 11 crack tip deformation, were made by Smith and Smith [9], Gdousto and Theocaris [10] and more recently by Dally and Sanford [11,12]. These isochromatics are all characterized by their unsymmetric patterns with respect to the crack line.…”

Section: Introductionmentioning

confidence: 98%

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Dynamic stress-intensity factors for unsymmetric dynamic isochromatics

Kobayashi

1981

Experimental Mechanics

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The mixed mode, near-field state of stresses surrounding a crack propagating at constant velocity is used to derive a relation between the dynamic stress intensity factors K i , KII, the remote stress component oox and the dynamic isochromatics. This relation together with an overdeterministic least-square method form the basis of a data reduction procedure for extracting dynamic K i , KII and ox from the recorded dynamic photoelastic pattern surrounding a running crack. The overdeterministic least-square method is also used to fit static isochromatics to the numerically generated dynamic isochromatics. The resultant static K I , KII, and aox are compared with the corresponding dynamic values and estimates of errors involved in using static analysis to process dynamic isochromatic data are obtained. The data reduction procedure is then used to evaluate the branching stress intensity factor associated with crack branching and the mixed mode stress intensity factors associated with crack curving.

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“…Note that the sign conventions of a is negative of that used in References [2,7,8,11,12]. (0e) Obviously Fk = 0 when the theoretical and measured isochromatic coincides.…”

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Theoretical Isochromaticsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Dynamic stress-intensity factors for unsymmetric dynamic isochromatics

Kobayashi

1981

Experimental Mechanics

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“…Chona et al [7] used the Westergaard stress field expressions, written as series expansion and obtained the coefficients of the expansion using photoelastic data. Sanford and Dally [8] and Sanford [9][10][11] used photoelastic data in an iterative scheme based on the least square method and the Newton-Raphson procedure to obtain the stress intensity factor for a mixed Mode I + II. Their procedure was used in practical cases by Hyde and Warrior [12] and Mahinfalah and Zackery [13].…”

Section: Introductionmentioning

confidence: 99%