Abstract

The solutions for the problem of an infinite isotropic elastic solid stressed under tension T0 and containing a single internal crack of length c on the plane z=0 are given in a form suitable for the computation of the stresses and displacements at all points. These are used to find the stress distribution on, and the displacements of, the plane situated ½a from the plane containing the crack. The normal stress σz on z=½a (as found above) is plotted as a function f(2uz) of the normal displacement uz and τrz is small compared with σz.

Keywords

IsotropyPlane (geometry)Displacement (psychology)Tension (geology)ComputationStress (linguistics)FissureGeometryMaterials sciencePlane stressIsotropic solidMathematicsMathematical analysisPhysicsComposite materialOpticsUltimate tensile strengthThermodynamicsFinite element method

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Publication Info

Year
1947
Type
article
Volume
59
Issue
2
Pages
208-223
Citations
115
Access
Closed

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Cite This

Harold A. Elliott (1947). An analysis of the conditions for rupture due to griffith cracks. Proceedings of the Physical Society , 59 (2) , 208-223. https://doi.org/10.1088/0959-5309/59/2/305

Identifiers

DOI
10.1088/0959-5309/59/2/305