On strain energy release rates for interfacial cracks in bi-material media

Sun, C. T.; Jih, C. J.

doi:10.1016/0013-7944(87)90115-9

Cited by 288 publications

(102 citation statements)

References 8 publications

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“…The forces at the nodes e and f can be obtained directly from the finite element results. Conversely, if we apply these forces at e and f to balance the crack ∆ ∆ (Sun and Jih 1987;Raju et al 1988;Dattaguru et al 1994). Thus, G I and G II have unclear physical meaning and mode decom position in terms of G I and G II can only be defined for a chosen finite crack extension �.…”

Section: The Virtual Crack Closure Technique (Vcct)mentioning

confidence: 99%

“…12 (Sun and Jih 1987;Raju et al 1988;Dattaguru et al 1994). The total strain energy release rate is obtained as follows:…”

Section: The Virtual Crack Closure Technique (Vcct)mentioning

confidence: 99%

“…The dependence of the SERR's components on the crack extension size was first presented in ex plicit mathematical form by Sun and Jih (1987) and Raju et al (1988). The SERRs for an inter face crack oscillate with � due to the oscillatory nature of stress and displacement fields.…”

Section: The Virtual Crack Closure Technique (Vcct)mentioning

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%

“…For an interface crack, the VCCT has traditionally been used to obtain the total strain energy release rate. Obtaining mode mixity for an interface crack using the VCCT has proven to be more challenging (Sun and Jih 1987;Raju et al 1988;Dattaguru et al 1994). However, several approaches have been suggested to extract consistent mode mixity values using the VCCT (Toya 1992;Chow and Atluri 1995;Beuth 1996;Sun and Qian 1997;Bjerken and Persson 2001).…”

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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Section: The Virtual Crack Closure Technique (Vcct)mentioning

confidence: 99%

“…12 (Sun and Jih 1987;Raju et al 1988;Dattaguru et al 1994). The total strain energy release rate is obtained as follows:…”

Section: The Virtual Crack Closure Technique (Vcct)mentioning

confidence: 99%

Section: The Virtual Crack Closure Technique (Vcct)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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References

2012

XFEM Fracture Analysis of Composites

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Extended Finite Element Method for Crack Propagation

Pommier¹,

Gravouil²,

Combescure³

et al. 2013

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Fracture mechanics is a vital component involved in studying the exact behavior of rock materials. Detection and assessment of the behavior of rock joints injected by grout plays an important role in numerical modelling in rock mechanic projects. The importance of mechanisms associated with initiation and propagation of cracks due to hydraulic fracturing has led to a considerable interest in investigation and analysis of this phenomenon. In this work, the process of propagation of cracks on the wall of boreholes, drilled in single and bi-material structures, was simulated in ABAQUS software employing the extended finite element method. The energy method was implemented to obtain the stress intensity factor and energy release rate through applying J integral around the crack tip. The method was applied to two rock types, diorite and granite at the Chadormalu iron mine located in the central part of Iran. It was concluded that assuming the same geometry, the possibility of crack propagation at the boundary between two materials was more than the single material medium. Therefore, in dealing with a bi-material medium, if the purpose is to measure the in situ stresses, the measurement should not be performed on the boundary between the two materials.

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On strain energy release rates for interfacial cracks in bi-material media

Cited by 288 publications

References 8 publications

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

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

References

Extended Finite Element Method for Crack Propagation

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