Proportional extrapolation techniques for determining stress intensity factors

Itoh, Yoshiyasu; Murakami, T.; Kashiwaya, Hideo

doi:10.1016/0013-7944(88)90073-2

Cited by 5 publications

(4 citation statements)

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“…By a similar way, it can be shown that K^ and K nA are given when r A /C A = r B /C B , which means that the ratios of the stress (or displacement) evaluating point to the crack length are equal between two problems (problems (^4) and (B)). The authors have already proposed them [4,5]. However, in consideration of practical use, the above representations (equations (8), (9), (10), and (11)) are useful for experimental determination of the stress intensity factors.…”

Section: K"mentioning

confidence: 97%

“…The techniques for determining the stress intensity factors using equations (8) to (11) are called the proportional extrapolation techniques [4,5]. By a similar way, it can be shown that K^ and K nA are given when r A /C A = r B /C B , which means that the ratios of the stress (or displacement) evaluating point to the crack length are equal between two problems (problems (^4) and (B)).…”

Section: K"mentioning

confidence: 98%

“…), [4,5], The techniques are not, however, applied to the experimental determination for the stress intensity factors.…”

Section: Introductionmentioning

confidence: 98%

“…On the other hand, the authors have proposed proportional extrapolation techniques [4] to simply and accurately determine the stress intensity factors using a numerical computation approach (i.e., finite element method (FEM), boundary element method (BEM) etc. ), [4,5], The techniques are not, however, applied to the experimental determination for the stress intensity factors.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Determination Technique of Stress Intensity Factor and Its Application

Itoh

Murakami

Kashiwaya

1989

Journal of Engineering Materials and Technology

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The proportional extrapolation technique is proposed for determining experimentally and accurately stress intensity factors, using the crack tip stresses measured by strain gage. The technique is based on the assumption that the effects of gage length and width on the measurement of the crack tip stresses are corrected by comparing with standard problems, and the corrected results are only accurate in the limit as r-0 (r; distance from crack tip). A special strain gage pattern was developed for applying the proportional extrapolation technique. The stress intensity factors of a two-dimensional crack problem were analyzed using this strain gage, and as an application example, the fracture behavior under mixed mode loading was investigated on notched polymer sheets. IntroductionStress analyses for crack problems are mainly concerned with determining the stress intensity factors, which define the strength of the stress singularity in the crack tip vicinity. However, ordinary stress measurement devices, such as strain gages, lack the ability to determine the crack tip stress singularity. Hitherto, the methods for the experimental evaluation of the stress intensity factors are generally based on the measurement results far from the crack tip (i.e., along an appropriate contour around the crack tip and/or load-point displacement etc.) [1][2][3]. However in consideration of the application to actual structures, these methods are limited to idealized geometries and boundary conditions, and their procedures are complicated for practical use.On the other hand, the authors have proposed proportional extrapolation techniques [4] to simply and accurately determine the stress intensity factors using a numerical computation approach (i.e., finite element method (FEM), boundary element method (BEM) etc.), [4,5], The techniques are not, however, applied to the experimental determination for the stress intensity factors.In this paper, a special strain gage pattern was developed for applying the proportional extrapolation technique to determining the stress intensity factors. By way of an application example, the mixed mode fracture behavior of notched polymer sheets was investigated for fracture criterion and crack growth direction.

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Section: K"mentioning

confidence: 97%