What question did this study set out to answer?

To mathematically evaluate the distribution of stress surrounding small spherical flaws and determine how fatigue fractures initiate and propagate in statistically isotropic materials.

January 1, 1926The London Edinburgh and Dublin Philosophical Magazine and Journal of Science

VI.On the concentration of stress in the neighbourhood of a small spherical flaw; and on the propagation of fatigue fractures in “Statistically Isotropic” materials

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To mathematically evaluate the distribution of stress surrounding small spherical flaws and determine how fatigue fractures initiate and propagate in statistically isotropic materials.
Applied linear elasticity equations to model the stress field around an isolated spherical cavity under uniform external tension.
Evaluated the mechanical conditions governing crack initiation and growth under repeated stress cycles.
Local tensile stress significantly concentrates at the boundary of spherical cavities compared to nominal applied stress.
Localized peak stresses act as critical focal points for initiating fatigue cracks that propagate through isotropic structures.

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Implication

Theoretical analysis demonstrates localized stress concentration around spherical flaws in isotropic materials, indicating fundamental mechanisms driving fatigue fracture propagation.

Cite This Study

Southwell et al. (1926) studied this question.

synapsesocial.com/papers/6a6d2d305d37378ac1db7a57 https://doi.org/10.1080/14786442608633614

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Implication

Theoretical analysis demonstrates localized stress concentration around spherical flaws in isotropic materials, indicating fundamental mechanisms driving fatigue fracture propagation.

VI.On the concentration of stress in the neighbourhood of a small spherical flaw; and on the propagation of fatigue fractures in “Statistically Isotropic” materials

Key Points

No abstract yet

Discussion

Implication

Cite This Study

VI.On the concentration of stress in the neighbourhood of a small spherical flaw; and on the propagation of fatigue fractures in “Statistically Isotropic” materials

Key Points

No abstract yet

Discussion

Implication

Cite This Study

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