A method for calculating stress intensities in bimaterial fracture

Matos, P. P. L.; McMeeking, Robert M.; Charalambides, Panos G.; Drory, M. D.

doi:10.1007/bf00963659

Cited by 259 publications

(107 citation statements)

References 15 publications

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“…We calculated the SIF's using the virtual crack extension method [Matos et al 1989] and summarize the results in Figures 8 through 14. We focus on how SIF magnitudes and phase angle vary along the crack, and how this variation depends on the type of serration.…”

Section: Resultsmentioning

confidence: 99%

Serration effects on interfacial cracks

Pelegri¹,

Shan

2007

JOMMS

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To investigate the effect of serrations in an interfacial crack between dissimilar materials, we introduce into the Finite Element (FE) framework a unit cell (UC) at microscale. By assigning material-specific properties to these unit cells, we can model various serration profiles and distributions and calculate their effect on the mixed-mode stress intensity factor (SIF), including its magnitude and phase angle. The simulation demonstrates that serration profoundly changes the local behavior of an interfacial crack. The serrations decrease the SIF in mode I, increase it in mode II, and, when the serration's height-towidth ratio increases, the mode mixity SIF increases as well. We find that sparse serration confines variation in the SIFs to the local peaks and that dense serrations cause widespread undulations in the SIF's magnitude and phase angle.

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Section: Resultsmentioning

confidence: 99%

Serration effects on interfacial cracks

Pelegri¹,

Shan

2007

JOMMS

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“…10a using the crack face dis placement (CSD) method (Matos et al 1989). This method extends the approach of Smelser (1979) to provide better accuracy of the mode mixity values.…”

Section: Mode Mixity From the Crack Face Displacement Methodsmentioning

confidence: 99%

“…The SIF-based mode mixity values computed using the VCCT from Eqs. 51 and 57, are compared with analytical solutions and results from the crack face displacement method (Matos et al 1989). …”

Section: Numerical Examplesmentioning

confidence: 99%

“…Thus, to design reliable layered structures, it is par amount that the mechanics of the interface crack is understood. Fracture toughness of bimaterial interfaces has received attention through analyt ical (e.g., Rice 1988;Hutchinson and Suo 1992), experimental (e.g., Charalambides et al 1989;Wang and Suo 1990;Yuuki et al 1994;Ikeda et al 1998) and numerical simulations (e.g., Sun and Jih 1987;Matos et al 1989;Toya 1992;Beuth 1996;Bjerken and Persson 2001).…”

Section: Introductionmentioning

confidence: 99%

“…(i) The crack-face displacement method (Matos et al 1989). The method is widely used and is easy to implement for most problems.…”

Section: Introductionmentioning

confidence: 99%

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Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

2006

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We review, unify and extend work per taining to evaluating mode mixity of interfacial fracture utilizing the virtual crack closure tech nique (VCCT). From the VCCT, components of the strain energy release rate (SERR) are obtained using the forces and displacements near the crack tip corresponding to the opening and sliding contri butions. Unfortunately, these components depend on the crack extension size, �, used in the VCCT. It follows that a mode mixity based upon these components also will depend on the crack exten sion size. However, the components of the strain energy release rate can be used for determining the complex stress intensity factors (SIFs) and the associated mode mixity. In this study, we show that several-seemingly different-suggested methods presented in the literature used to obtain mode mixity based on the stress intensity factors are in deed identical. We also present an alternative, sim pler quadratic equation to this end. Moreover, a �-independent strain energy release based mode mixity can be defined by introducing a "normal izing length parameter." We show that when the reference length (used for the SIF-based mode mixity) and the normalizing length (used for � independent SERR-based mode mixity) are equal,

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Fracture toughness of CoCr alloy-PMMA cement interface

Mann

Edidin

Ordway

et al. 1997

J. Biomed. Mater. Res.

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An unsymmetric cantilever geometry was used experimentally to determine the critical energy release rate values for cobalt chromium alloy-polymethylmethacrylate cement (CoCr alloy-PMMA) interfaces with satin finished, grit blasted, and plasma sprayed surface treatments applied to the CoCr alloy. Critical energy release rates of 0.013, 0.181, and 0.583 N/mm were found for the satin finish, grit blasted, and plasma sprayed CoCr alloy-PMMA interfaces, respectively. A finite element model of the experimental test specimen was used to determine the crack tip phase angles (-8.73 degrees to -27.1 degrees) that indicated that the tensile load applied to the specimens resulted in a tensile (mode I) and in-plane shear (mode II) loading at the crack tip. The experimental data suggest that a satin finish CoCr alloy-PMMA interface has minimal resistance to crack propagation when compared to grit blasted or plasma sprayed surface treatments.

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A method for calculating stress intensities in bimaterial fracture

Cited by 259 publications

References 15 publications

Serration effects on interfacial cracks

Serration effects on interfacial cracks

Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

Fracture toughness of CoCr alloy-PMMA cement interface

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