Finger-like crack growth in solids and liquids

Fields, Richard J.; Ashby, Michael F.

doi:10.1080/14786437608221089

Cited by 144 publications

(61 citation statements)

References 5 publications

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“…First, Ashby suggested that diffusive growth of crack-like cavities would be unstable under certain circumstances and would grow into a finger-like morphology (72). Some of the observations by Taplin and Wingrone (66,66) certainly were due to this effect.…”

Section: Creep Cavitation and Cavity Growthmentioning

confidence: 99%

Creep cavitation in 304 stainless steel

Chen¹,

Argon²

1981

Acta Metallurgica

181

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A micromechanical analysis of deformation and fracture in creeping alloys is presented based on a mechanistic approach using continuum mechanics. The analysis was first carried out on a coarse microscopic level in which the self-consistent theory of Hill was employed to treat the steady state creep of heterogeneous alloys with coarse microstructures allowing for grain boundary sliding. Processes operating on a finer scale than the grain size such as grain boundary diffusion and surface diffusion were subsequently included in the analysis. It was found that the high stresses required for cavity nucleation occur at intergranular particles only in transients of grain boundary sliding, and that two modes of cavity growth result corresponding to rate control by each of the abovementioned diffusional processes.Creep cavitation in 304 stainless steel in the neighborhood of 0.5 Tm was studied experimentally to test these theoretical models. Our results suggest that a broad spectrum of interfacial energy may exist and that microstructural changes such as those caused by twins can alter cavitation behavior drastically. Cavities grow in most cases by grain boundary diffusion coupled with matrix creep, somewhat restricted by surface diffusion. However, the grain boundary sliding can be a dominant mode of cavity growth at high stresses and for large cavities.

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Section: Creep Cavitation and Cavity Growthmentioning

confidence: 99%

Creep cavitation in 304 stainless steel

Chen¹,

Argon²

1981

Acta Metallurgica

181

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“…For example, in a perfectly plastic material, the relevant stress gradient is determined by the yield stress, t 0 . Equation (1) can still be used in this case, with the stress gradient given by t 0 ͞h, where h is the thickness of the plastic layer [3]. It is, in fact, generally accepted that the ability of a material to yield or flow in some way is required in order for shape instabilities associated with the onset of fingering to be observed.…”

Section: (Received 28 September 1999)mentioning

confidence: 99%

Fingering Instabilities of Confined Elastic Layers in Tension

2000

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“…the classical Saffman-Taylor (Saffman et al 1958) problem in a Hele Shaw cell in which flow driven fingering patterns develop at the moving interface of two viscous or viscoelastic liquids (Homsyet al 1981, Nittmann et al 1985; disjoining pressure induced rupturing and dewetting (Reiter et al 1992, Sharma et al 1998 of ultra thin viscous films; spiral instabilities in viscometric flow of a viscoelastic liquid (Muller et al 1989, McKinley et al 1995; and fingering instability and cavitation during peeling a layer of viscoelastic adhesive (Fields et al 1976, Urhama et al 1989. While most of these viscous and viscoelastic systems have been well characterized experimentally and theoretically, similar surface undulations of confined thin elastic films pose a different kind of problem despite geometric commonalities with many of the liquid systems.…”

Section: Introductionmentioning

confidence: 99%

Confinement-induced instability of thin elastic film

Ghatak

2006

Phys. Rev. E

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A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical peel geometry, undulations appear along the contact line below a critical film thickness or below a critical curvature of the plate. Perturbation analysis of the stress equilibrium equations shows that for a critically confined film the total excess energy indeed attains a minima for a finite amplitude of the perturbations which grow with further increase in the confinement.

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Finger-like crack growth in solids and liquids

Cited by 144 publications

References 5 publications

Creep cavitation in 304 stainless steel

Creep cavitation in 304 stainless steel

Fingering Instabilities of Confined Elastic Layers in Tension

Confinement-induced instability of thin elastic film

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