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Note that the dimensionless stress concentration factor is a function of the geometry shape and independent of its size. [4] These factors can be found in typical engineering reference materials. Stress concentration around an elliptical hole in a plate in tension. E. Kirsch derived the equations for the elastic stress distribution around a hole.
In fracture mechanics, the stress intensity factor (K) is used to predict the stress state ("stress intensity") near the tip of a crack or notch caused by a remote load or residual stresses. [1] It is a theoretical construct usually applied to a homogeneous, linear elastic material and is useful for providing a failure criterion for brittle ...
Stress is a measure of the average amount of force exerted per unit area. The stress distribution can be obtained from known theoretical [ 1 ] or numerical ( Finite element method ) analysis. The researcher who builds up the force lines can choose a magnitude of the internal force and the initial border where the drawing procedure starts.
Any pair of coordinates that differ from (,) by constant multiples of equal absolute value are also isomorphic with respect to principal stress space. As an example, pressure = / and the Von Mises stress = are not an isomorphic coordinate pair and, therefore, distort the yield surface because
As an example, let's assume we have a state of stress with stress components ,, ,, and ,, as shown on Figure 7. First, we can draw a line from point B {\displaystyle B} parallel to the plane of action of σ x {\displaystyle \sigma _{x}} , or, if we choose otherwise, a line from point A {\displaystyle A} parallel to the plane of action of σ y ...
For example, according to ASTM E399, the maximum stress intensity K max should be no larger than 0.6 during the initial stage and less than 0.8 when crack approaches its final size. [ 14 ] In certain cases grooves are machined into the sides of a fracture toughness specimen so that the thickness of the specimen is reduced to a minimum of 80% of ...