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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.
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.
The general trend given by the Goodman relation is one of decreasing fatigue life with increasing mean stress for a given level of alternating stress. The relation can be plotted to determine the safe cyclic loading of a part; if the coordinate given by the mean stress and the alternating stress lies under the curve given by the relation, then ...
For the thin-walled assumption to be valid, the vessel must have a wall thickness of no more than about one-tenth (often cited as Diameter / t > 20) of its radius. [4] This allows for treating the wall as a surface, and subsequently using the Young–Laplace equation for estimating the hoop stress created by an internal pressure on a thin-walled cylindrical pressure vessel:
Probability density of stress S (red, top) and resistance R (blue, top), and of equality (m = R - S = 0, black, bottom). Distribution of stress S and strength R: all the (R, S) situations have a probability density (grey level surface). The area where the margin m = R - S is positive is the set of situation where the system is reliable (R > S).
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 ...
The hole drilling method is a method for measuring residual stresses, [1] [2] in a material. Residual stress occurs in a material in the absence of external loads. Residual stress interacts with the applied loading on the material to affect the overall strength, fatigue, and corrosion performance of the material.
For all notch types, a key parameter in governing stress concentration and failure in notched materials is the notch tip curvature or radius. [ 1 ] Sharp tipped V-shaped notches are often used in standard fracture toughness testing for ductile materials, polymers and for the characterization of weld strength.