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Fatigue Experiments
Introduction
Fatigue failure of a material is used to refer to the failure that results when a material is exposed
to the action of elastic stress. It is characterized the formation of cracks. These crack grow
gradually and ultimately fracture due to the reduction of load carrying capacity. The illustration
of uniaxial cyclic stress loading is as shown in Figure 1. From the Figure, 𝜎𝑚 is the mean stress
and 𝜎𝑎 is the stress amplitude.
Figure 1: Uniaxial Cyclic Stress Loading
When studying fatigue, two basic testing procedures are employed. They include; rotary-bending
test and the deflection bending test. The two methods are as shown in Figure 2. Rotary-bending
is based on the theory that the internal moment M in test specimen held between the slip-rings is
constant and equals Pa/2 as shown in Equation 1. Equation 1 is used to calculate the maximum
stress where I is the cross section moment of inertia about the neutral axis and y is the vertical
distance measured from the centroid of the section for a rotating beam having non-rotating
forces. For a circular section as shown in Figure 3, the value y is relatable to the material section
radius, r.
Figure 2: Testing Procedures of Fatigue
𝑀𝑦
𝜎= 𝐼 =
(𝑃𝑎) 𝑦
2
𝐼
…………………………………………………………………Equation
1
Figure 3: Material Cross Section
2𝜋
𝑦 = 𝑟 sin 𝜃 = sin ( 𝑇 ) 𝑡……………………………………………….Equation 2
For the deflection test, a sinusoidal force variation is applied on the tip of the cantilever as shown
in Figure 2 resulting in a vertical oscillation. Stress in this case is calculated using Equation 3.
For both testing meth...