T-stress based fracture model for cracks in isotropic materials

Selvarathinam, Alex S.; Goree, James G.

doi:10.1016/s0013-7944(98)00032-0

Cited by 33 publications

(16 citation statements)

References 17 publications

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“…2) to derive the stress field and the energy release rate. The conclusion differs from the two aforementioned papers, the straight crack growth under mode I loading remains stable up to a strictly positive threshold T c > 0, as experimentally shown in Selvarathinam and Goree (1998).…”

contrasting

confidence: 79%

“…Moreover, the result strongly depends on the distance r c , which to the authors' mind is a difficult data to estimate a priori. The present threshold T c is very high T c 0.7 σ c and by far larger than the one experimentally determined by Selvarathinam and Goree (1998) on CT coupons which seems to be surprisingly small. One reason is probably that, herein, there is an implicit assumption concerning the size of flaws and inhomogeneities.…”

Section: Influence Of the T-stresscontrasting

confidence: 68%

“…Only large flaws can account for a lower threshold. Selvarathinam and Goree (1998) explain that if a crack slightly kinks due to micro-inhomogeneities with T below the threshold T c , it will instantaneously realign itself along the direction of the primary crack. This mechanism has been confirmed in wood specimens in Lespine (2007).…”

Section: Resultsmentioning

confidence: 99%

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Crack deflection in a biaxial stress state

Leguillon

Murer

2008

Int J Fract

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Cotterell and Rice theory (Int J Fract 16 (2): [155][156][157][158][159][160][161][162][163][164][165][166][167][168][169] 1980) on the kinking of a crack submitted to a biaxial loading in a homogeneous material is revisited. Using both an energetic and a stress fracture criteria (Leguillon, Eur J Mech A/Solids 21:61-72, 2002) allows defining a positive threshold of the T-stress T c below which no branching can occur (Selvarathinam and Goree, Eng Fract Mech 60(5-6):543-561, 1998) provided the inhomogeneities size is small compared to the Irwin length. The absence of such a threshold would definitely condemn experimental procedures like the double-cantilever beam (DCB) or compact tension (CT) tests, which result in a positive T-stress at the crack tip. The stress intensity factors K I and T are computed using a contour integral. Calculations provide a very good agreement with the analytical results of the infinite Centrally Notched (CN) plate in tension for instance. An asymptotic analysis makes it possible to define the branching angle as a discontinuous function of T with a jump from 0 • to some significant positive value as T reaches T c . Furthermore, for non vanishing K II , a similar analysis is carried out, a positive T-stress increases the kinking angle due to K II alone.

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contrasting

confidence: 79%

Section: Influence Of the T-stresscontrasting

confidence: 68%

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Crack deflection in a biaxial stress state

Leguillon

Murer

2008

Int J Fract

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“…These criteria can basically be classified into three different groups: energy based, stress based and strain based approaches (Erdogan & Sih, 1963;Sih, 1974;Chang, 1981;Selvarathinam & Goree, 1998;Mirsayar, 2015b). Among the energy based facture criteria, the maximum strain energy density criterion (Sih, 1974) is widely used by the researches and claims that fracture initiates at the notch tip in direction where the strain energy reaches its maximum value.…”

Section: Introductionmentioning

confidence: 99%

Fracture of underwater notched structures

Mirsayar¹,

Takabi²

2016

10.5267/j.esm

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Underwater structures are subjected to hydrostatic pressure during their service life. Sharp Vnotched components can be seen as a part of many underwater structures. For example, welded components, machined parts, gears, screws and bolts are among the well-known elements that contain sharp V-notches. The notch tip is a likely zone for initiation of cracks due to high stress/ strain concentration. The reliability analysis of the V-notched components requires a good understanding of stress/ strain distribution near the notch tip. The fracture initiation of the Vnotched components can be controlled by the tangential strain field near the notch tip. The tangential strain distribution and fracture initiation conditions are studied in this paper for notched components subjected to hydrostatic pressure. The effect of each tangential strain term on fracture initiation angle as well as tangential strain distribution around the notch tip is investigated using finite element simulation of a V-notched semi-circular specimen. It is shown that not only the singular terms, but also the "constants train field" significantly influence on tangential strain distribution and fracture initiation angle around the notch tip. The results of this paper can be used for standardization of the fracture in underwater structures containing V-notched components.

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“…The understanding of the mechanics of the complicated crack growth behavior is an important subject for designing structural components and machines. Thus, the evaluation and the prediction of the crack path formation have long been a topic of great concern in the field of fracture mechanics [2][3][4]. In 1993, Yuse and Sano [5] reported that straight, branched, and oscillating cracks were observed in thin glass plates under thermal loads.…”

Section: Introductionmentioning

confidence: 99%

Observation of Stress Field Around an Oscillating Crack Tip in a Quenched Thin Glass Plate

et al. 2007

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The variation of stress field around an oscillating crack tip in a quenched thin glass plate is observed using instantaneous phase-stepping photoelasticity. The successive images around the propagating crack are recorded by a CCD camera that is equipped with a pixelated microretarder array. Then, the phase maps of the principal stress difference and the principal direction are easily obtained even though the photoelastic fringes cannot be visualized. The path of the crack growth as well as the stress intensity factors and the crack tip constraint are obtained from these phase distributions. Results show that the mode I stress intensity factor and the crack tip constraint vary remarkably with the crack growth. In addition, the results show that the mode-II stress intensity factor exists even though the crack propagates smoothly.

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T-stress based fracture model for cracks in isotropic materials

Cited by 33 publications

References 17 publications

Crack deflection in a biaxial stress state

Crack deflection in a biaxial stress state

Fracture of underwater notched structures

Observation of Stress Field Around an Oscillating Crack Tip in a Quenched Thin Glass Plate

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