Invariant integrals of crack interaction with an inhomogeneity

Li, Qun; Lv, Junnan

doi:10.1016/j.engfracmech.2016.12.013

Cited by 6 publications

(3 citation statements)

References 19 publications

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“…It should be noted that the counterpart of J 2 C obtained in(Li and Lv 2017) misses one term compared to our results due to possible mistakes in derivation.…”

contrasting

confidence: 81%

“…The interaction between cracks and second phase particles (viz., inclusions with different elastic properties) has been extensively investigated. Analytical approaches have been developed to calculate the near-tip stress field, stress intensity factors (SIFs) and the configurational force for a crack in the vicinity of an inclusion (Atkinson 1972;Erdogan et al 1974;Faber and Evans 1983a;Gdoutos 1985;Han and Chen 2000;Hwu et al 1995;Li and Lv 2017;Li and Yang 2004;Rubinstein 1991;Sendeckyj 1974;Tamate 1968;Zhou and Li 2007;Zhou et al 2011). Simulations using finite element method (FEM) have been performed to evaluate the SIF and energy release rate (ERR) for a stationary crack interacting with an inclusion (Haddi and Weichert 1998;Li and Chudnovsky 1993a;Li and Chudnovsky 1993b;Lipetzky and Knesl 1995;Lipetzky and Schmauder 1994).…”

Section: Introductionmentioning

confidence: 99%

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Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Guo

Gao

2020

Int J Fract

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The interaction between cracks and inclusions plays important roles in the fracture behavior of particulate composites. It is commonly recognized that an inclusion stiffer than the matrix tends to deflect an approaching crack away while a softer inclusion attracts the crack. Here, we demonstrate by analytical modeling and numerical simulations that the crack-inclusion interaction can be tuned by an applied T-stress.Under a sufficiently large compressive applied T-stress, cracks can be attracted to stiffer inclusions while repelled by softer ones, thus reversing the conventional trend. Potential applications of this work include composite electrodes in lithium-ion batteries and hydraulic fracturing.

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“…It should be noted that the counterpart of J 2 C obtained in(Li and Lv 2017) misses one term compared to our results due to possible mistakes in derivation.…”

contrasting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Guo

Gao

2020

Int J Fract

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“…The secondary indicator is the distribution of ERRs along the delamination front and its relation to the FE calculations performed by the VCCT. It is reasonable to mention that other path invariant integrals are available to characterize singularities in electromagnetic and hydrodynamic fields [74,75]. In the sequel, the results for elliptic and hyperbolic shells are presented.…”

Section: Energy Release Rates and Mode-mixitymentioning

confidence: 99%

Higher-order semi-layerwise models for doubly curved delaminated composite shells

Szekrényes

2020

Arch Appl Mech

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This work deals w ith the development and extension of higher-order models for delaminated doubly curved composite shells with constant radii of curvatures. The mechanical model is based on the method of four equivalent single layers and the system of exact kinematic conditions. A remarkable addition of this work compared to some previous ones, is a modified and improved continuity condition between the delaminated and undelaminated parts of the shell. Using the principle of virtual work, the equilibrium equations of the shell systems are brought to the stage and solved by using the classical Lévy plate formulation under simply supported conditions. Four different scenarios of elliptic and hyperbolic delaminated shells are investigated providing the solutions for the mechanical fields as well as for the J-integral. The analytical results are compared to 3D finite element calculations, and excellent agreement was obtained for the displacement components and normal stresses. On the contrary, it was found that the transverse shear stresses are captured quite differently by the proposed method and the finite element models. Although the role of shear stresses should not be underrated, they seem to be marginal because the distributions of the J-integral components are in very good agreement with the numerically determined energy release rates.

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A consistent framework of material configurational mechanics in piezoelectric materials

Guo

et al. 2017

Acta Mech

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Invariant integrals of crack interaction with an inhomogeneity

Cited by 6 publications

References 19 publications

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Tuning crack-inclusion interaction with an applied $$\varvec{T}$$-stress

Higher-order semi-layerwise models for doubly curved delaminated composite shells

A consistent framework of material configurational mechanics in piezoelectric materials

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