ME 354, MECHANICS OF MATERIALS LABORATORY

FATIGUE

MGJ 27 OCT 96

PURPOSE

The purpose of this exercise is to determine the effect of cyclic loads on the long-term behaviour of structures and to determine the fatigue lives (Nf) as functions of uniaxial tensile stress for an aluminum alloy. Axial fatigue tests are used to obtain the fatigue strength of materials where the strains are predominately elastic both upon initial loading and throughout the test.

EQUIPMENT

Reduced gage section tensile specimens of 6061-T6 aluminum

Tensile test machine with grips, controller, and data acquisition system

PROCEDURE

Measure the diameter, d, of the gage section of the specimen to 0.02 mm.

Calculate the maximum, Pmax, and minimum, Pmin, loads for the test based on the desired maximum and minimum stresses (Note: P = s*A = s * (pd2/4) . Since, these tests are being conducted in tension only, the stress ratio, R, is chosen to be close to but not exactly zero such that R=0.1. Thus, smin=R*smax where smax is the desired maximum stress.

Calculate the mean load as Pm=(Pmax +Pmin)/2.

Calculate the load amplitude as Pa=(Pmax -Pmin)/2.

Zero the load output (balance).

Set the maximum load limit at ~5 kN during the specimen installation and activate the limit detect for actuator off.

Do not set the minimum load limit during specimen installation

Activate load protect (~0.1 N) on the test machine to prevent overloading the specimen during installation.

Install the top end of the tensile specimen in the top grip of the test machine while the test machine is in displacement control.

Install the bottom end of the tensile specimen in the lower grip of the test machine.

Set the maximum load limit at ~0.5 kN greater than Pmax and activate the limit detect for actuator off.

Set the minimum load limit at -0.2 kN and activate the limit detect for actuator off.

Deactivate load protect.

Activate load control by going to this control mode immediately,

On the test machine, zero the cycle counter for the total count.

In load control adjust the setpoint in increments of not greater than 1kN to achieve the mean load, Pm.

Select the waveform as sine wave and input an initial frequency of 1 Hz

Input the load amplitude, Pa.

Activate amplitude control to ensure that the loading envelope maintains its integrity during the course of the test.

Initiate the data acquisition and control program (if desired).

Enter the correct file name and specimen information as required.

Initiate the test sequence via the computer program otherwise activate the test via the front control panel.

After the test has been running for 30-60 s, increase the frequency in 1 Hz increments up to a maximum of 15 Hz.

Activate event detector 1 for break detect but no action.

Continue the test until specimen fracture (or the break detect).

Record the number of cycles on the cycle counter at the end of the test.

* REFERENCES

Annual Book or ASTM Standards, American Society for Testing and Materials, Vol. 3.01

E466 Standard Practice for Conducting Constant Amplitude Axial Fatigue Tests of Metallic Specimens

E468 Standard Practice for Presentation of Constant Amplitude Fatigue Test Results for Metallic Specimens

RESULTS

Fatigue test results may be significantly influenced by the properties and history of the parent material, the operations performed during the preparation of the fatigue specimens, and the testing machine and test procedures used during the generation of the data. The presentation of the fatigue test results should include citation of the basic information on the material, the specimens, and testing to increase the utility of the results and to reduce to a minimum the possibility of misinterpretaion or improper application of the results.

Tabulate your results in the Table 1, comparing your results to the control data generated for this same aluminum under uniaxial tensile fatigue conditions.

Plot your test results as maximum stress, smax , versus log of cycles to failure, Nf in Figure 1. Note that a log scale is used for Nf so there is no need to compute log Nf.

Answer the following questions on the Worksheet, turning this in as the In-class Lab report.

ME 354, MECHANICS OF MATERIALS LABORATORY

FATIGUE

MGJ 27 OCT 96

WORK SHEET

NAME______________________________________DATE______________

EQUIPMENT IDENTIFICATION______________________________________

1) Tabulate the following mechanical properties from your tensile test results.

6061- T6 Aluminum

Selected Mechanical Properties (R.T.)
E (GPa)

% elongation

2) For the maximum stress assigned to your lab section determine the required test loads from the measured diameter of the test specimen.
Specimen diameter, d (mm)
Gage section area, A=pd2/4 (mm2)
Stress ratio, R
0.1


3) Tabulate your test results and compare them to the control data for this material.

Table 1 Fatigue Test Results for 6061-T6 Aluminum at R.T.
R
Nf
0
Suts=
<1
-1
345
-345
0
345
102
0.1
330
33
182
149
2
0.1
312
31
171
140
28 788
-1
276
-276
0
276
103
0.1
293
29
161
132
42 677
0.1
293
29
161
132
34 900
0.1
293
29
161
132
49 671
0.1
293
29
161
132
91 711
0.1
293
29
161
132
35 964
0.1
293
29
161
132
51 700
0.1
293
29
161
132
23 872
-1
248
-248
0
248
104
0.1
256
26
141
115
124 319
-1
200
-200
0
200
105
0.1
220
22
121
99
226 038
-1
166
-166
0
166
106
0.1
183
18
101
82
1 169 307
-1
117
-117
0
117
107
-1
100
-100
0
100
108

4) Plot the all the test results for R=0.1 on the S-N curve shown in Figure 1. For this material, is there evidence of a well-defined fatigue (endurance) limit, se? Is this what you expected?

Figure 1 S-N curve for 60612-T6 aluminum at room temperature

4) cont'd





5) Do your test results agree with the control (or previous test) results. If so, why? if not, why not? Would you expect fatigue failures to have little or much scatter? Does it seem reasonable to try to fit a single curve through the data?











6) Examine the fracture surface of the specimen. Given that the maximum load in the fatigue test was less than the yield load for material (as determined from the monotonic tensile test), discuss how fatigue can occur given that the loading was in the elastic range. Where do the fatigue cracks initiate from? Is surface condition important? How would you design components to minimize fatigue failures?









7) Fatigue can be analyzed from a fracture mechanics standpoint. If the stress intensity factor solution for this case can be approximaed as , determine the critical crack length at fracture such that for your result (Note KIc=35 MPaÃm). Compare calculated af to the actual af measured on the fracture surface. Are they similar? Why or why not? Finally, assuming ai=0.1 mm and da/dN =C(DK)m (Note: a has units of metres, s has units of MPa, F=1.75, m=3.59 and C=1.6 X 10-11 with units to give da/dN in m/cycle), calculate the cycles to failure from tensile crack initiation to final fracture using the relation: . Compare the Nf for crack propagation to the total Nf for the test. Is crack propagation a significant part of the total fatigue life?