A numerical method for calculating stress intensity factors for interface cracks in bimaterials

Bjerkén, Christina; Persson, Christer

doi:10.1016/s0013-7944(00)00098-9

Cited by 48 publications

(38 citation statements)

References 12 publications

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“…This equation gives identical results to the previous approaches suggested by Toya (1992), Chow and Atluri (1995) and Sun and Qian (1997). In addition, an approach by Bjerken and Persson (2001) is examined and found attrac tive for providing acceptable values of mode mixity with significantly less computational efforts. Fur ther, a modified definition of mode mixity, based on SERRs (Beuth 1996), is shown as an alternative measure for characterizing an interface crack.…”

Section: Introductionmentioning

confidence: 55%

“…8) using the complex strain energy release rate. Bjerken and Persson (2001) have cleverly introduced the complex strain energy release rate as…”

Section: Sif-based Mode Mixity From Oscillating Serrsmentioning

confidence: 99%

“…3) has been studied extensively (e.g. Rice and Sih 1965;Sun and Jih 1987;Toya 1992;Chow and Atluri 1995;Sun and Qian 1997;Bjerken and Persson 2001) and is thus a suitable benchmark problem. Plane strain condition is assumed.…”

Section: Interface Crack In Infinite Plate Subject To Uniform Tensionmentioning

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%

“…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: Introductionmentioning

confidence: 55%

“…8) using the complex strain energy release rate. Bjerken and Persson (2001) have cleverly introduced the complex strain energy release rate as…”

Section: Sif-based Mode Mixity From Oscillating Serrsmentioning

confidence: 99%

Section: Interface Crack In Infinite Plate Subject To Uniform Tensionmentioning

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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Partition of unity enrichment for bimaterial interface cracks

Sukumar¹,

Huang²,

Prévost³

et al. 2004

Numerical Meth Engineering

256

104

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SUMMARYPartition of unity enrichment techniques are developed for bimaterial interface cracks. A discontinuous function and the two-dimensional near-tip asymptotic displacement functions are added to the finite element approximation using the framework of partition of unity. This enables the domain to be modelled by finite elements without explicitly meshing the crack surfaces. The crack-tip enrichment functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The concept of partition of unity facilitates the incorporation of the oscillatory nature of the singularity within a conforming finite element approximation. The mixed-mode (complex) stress intensity factors for bimaterial interfacial cracks are numerically evaluated using the domain form of the interaction integral. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.

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About One Approach in Prevention of the Emerging Dangerous Phenomena Caused by the Existence of Defect in Continuous Media

Babeshko

Telyatnikov

Павлова

et al. 2023

Advanced Structured Materials

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A numerical method for calculating stress intensity factors for interface cracks in bimaterials

Cited by 48 publications

References 12 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

Partition of unity enrichment for bimaterial interface cracks

About One Approach in Prevention of the Emerging Dangerous Phenomena Caused by the Existence of Defect in Continuous Media

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