On the nature of the stress at the tip of a perfectly brittle crack

Cribb, J.L.; Tomkins, B.

doi:10.1016/0022-5096(67)90023-3

Cited by 22 publications

(3 citation statements)

References 1 publication

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“…which was studied by Cribb and Tomkins [11]; this law approximates to a linear p-v law. falls abruptly to zero.…”

Section: Ra [ 1 K(u) Dumentioning

confidence: 99%

The compressive failure of notched composites: the effects of geometry and microbuckling softening law

Smith

1994

Int J Fract

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The compressive failure of notched composites is modelled from the basis of the understanding that has been reached with regard to the behaviour of cracked elastic softening solids that are subjected to tensile loadings. Particular attention is given to the effects of geometrical parameters and the softening law describing the behaviour of the microbuckling damage zone, and it is shown how the peak load can be related to a solid's geometrical parameters and the damage zone softening law via an analytical expression. The predictions are shown to be consistent with Sutcliffe and Fleck's numerical and experimental results for the compressive failure of centre notched panels of carbon fibre-epoxy laminates.

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“…which was studied by Cribb and Tomkins [11]; this law approximates to a linear p-v law. falls abruptly to zero.…”

Section: Ra [ 1 K(u) Dumentioning

confidence: 99%

The compressive failure of notched composites: the effects of geometry and microbuckling softening law

Smith

1994

Int J Fract

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“…Nonlinear models of these forces have been included in many studies of lattice deformations [Cribb (1967); Andersson (1970); Sinclair (1972Sinclair ( , 1975; Smith (1975Smith ( , 1978; Esterling (1976);Fuller (1978A)]. Reviews of the basic findings have been presented by Fuller (1978B) andSmith (1978).…”

Section: Lattice Modelsmentioning

confidence: 99%

An assessment of the state of the art in predicting the failure of ceramics: Final report

Boulet¹

1988

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“…Elliot [12] estimated the distribution of normal stress and the actual atom positions at the tip of a crack of length equal to 1000 interatomic spacings for a simple cubic crystal with modulus E = 1012 dynes/cm 2 and under an applied stress of 0.01E. A more recent interesting development is the work of Cribb and Tomkins [13] who proposed a certain distribution of interatomic cohesive forces across the tip of a cleavage crack in a perfectly brittle solid and derived the corresponding interatomic force-distance curve by the methods of the continuum theory of elasticity. The detailed shape of the curve is unrealistic, but by comparing the bulk properties with those of real materials, they concluded that large cohesive forces exist over regions only a few atomic radii from the crack-tip.…”

Section: Introductionmentioning

confidence: 99%

An atomistic study of fracture

Chang

1970

Int J Fract

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The atomistic relaxation method developed by the author to study the core structures of edge and screw dislocations in crystalline solids was used to investigate the configurations of atoms and crack-tip atom cohesion and stress fields in BCC (body-centered cubic) and FCC (face-centered cubic) iron. Single crystallites containing initially an atomically sharp and through crack (a vacancy sheet) of various orientations were subjected to tensile strain applied normal to the crack. It is shown that the crack tip stress fields depend importantly on the orientation of the crack with respect to the parent lattice, a result unexpected of existing linear elasticity and continuum theories.

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On the nature of the stress at the tip of a perfectly brittle crack

Cited by 22 publications

References 1 publication

The compressive failure of notched composites: the effects of geometry and microbuckling softening law

The compressive failure of notched composites: the effects of geometry and microbuckling softening law

An assessment of the state of the art in predicting the failure of ceramics: Final report

An atomistic study of fracture

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