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Measuring Fracture Energy of Fire Resistant Materials

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Title: Measuring Fracture Energy of Fire Resistant Materials


1
Building and Fire Research Laboratory, NIST
Measuring Fracture Energy of Fire Resistant
Materials

2
Experimental Set-up

3
Experimental Procedure
4 STEPS
  • Step 1 Record load (P), displacement (u) and
    the corresponding crack length (a) throughout a
    test.
  • Step 2 Calculate compliance, C u/P.
  • Step 3 Plot log C versus log a to get n
    (which the slope of the plot).
  • Step 4 Calculate GC.


4
Experimental Procedure
4 STEPS
  • Step 1 Record load (P), displacement (u) and
    the corresponding crack length (a) throughout a
    test.
  • Step 2 Calculate compliance, C u/P.
  • Step 3 Plot log C versus log a to get n
    (which the slope of the plot).
  • Step 4 Calculate GC.


5
STEP 1 Measure P, u and a
u, P
Measurement from a testing machine
u
P

6
STEP 1 Measure P, u and a
u, P
Simple Ratio calculation
Length in the picture
Actual crack length
Measurement from a camera or microscope and using
the equation.
Measured total length of the substrate, not in
picture
Length in the picture
7
STEP 1 Measure P, u and a
Illustration 1 FRM C

8
STEP 1 Measure P, u and a
a
9
STEP 1 Measure P, u and a
a
10
STEP 1 Measure P, u and a
a
11
STEP 1 Measure P, u and a
a
12
STEP 1 Measure P, u and a
a
13
STEP 1 Measure P, u and a
a
14
STEP 1 Measure P, u and a
a
15
STEP 1 Measure P, u and a
a
16
STEP 1 Measure P, u and a
a
17
STEP 1 Measure P, u and a
a
18
STEP 1 Measure P, u and a
a
19
STEP 1 Measure P, u and a
a
20
STEP 1 Measure P, u and a
a
21
STEP 1 Measure P, u and a
a
22
STEP 1 Measure P, u and a
a
23
STEP 1 Measure P, u and a
Illustration 2 FRM G

24
STEP 1 Measure P, u and a
a
25
STEP 1 Measure P, u and a
a
26
STEP 1 Measure P, u and a
a
27
STEP 1 Measure P, u and a
a
28
STEP 1 Measure P, u and a
a
29
STEP 1 Measure P, u and a
a
30
STEP 1 Measure P, u and a
a
31
STEP 1 Measure P, u and a
a
32
STEP 1 Measure P, u and a
a
33
STEP 1 Measure P, u and a
a
34
STEP 1 Measure P, u and a
a
35
STEP 1 Measure P, u and a
a
36
STEP 1 Measure P, u and a
a
37
STEP 1 Measure P, u and a
a
38
STEP 1 Measure P, u and a
a
39
Experimental Procedure
4 STEPS
  • Step 1 Record load (P), displacement (u) and
    the corresponding crack length (a) throughout a
    test.
  • Step 2 Calculate compliance, C u/P.
  • Step 3 Plot log C versus log a to get n
    (which the slope of the plot).
  • Step 4 Calculate GC.


40
STEP 2 Calculate compliance
Calculate the compliance, C
Displacement
Load

41
Experimental Procedure
4 STEPS
  • Step 1 Record load (P), displacement (u) and
    the corresponding crack length (a) throughout a
    test.
  • Step 2 Calculate compliance, C u/P.
  • Step 3 Plot log C versus log a to get n
    (which the slope of the plot).
  • Step 4 Calculate GC.


42
STEP 3 Find n
  • Plot log C versus log a
  • Fit the data with a linear regression.

n the slope of the line 2.6727

43
Experimental Procedure
4 STEPS
  • Step 1 Record load (P), displacement (u) and
    the corresponding crack length (a) throughout a
    test.
  • Step 2 Calculate compliance, C u/P.
  • Step 3 Plot log C versus log a to get n
    (which the slope of the plot).
  • Step 4 Calculate GC.


44
STEP 4 Calculate Gc
Calculate GC
Slope of a plot of log C (u/P) versus log
a (example 2.67)
Load (P)
Displacement (u)
Substrate width, (measured in lab)
Crack length a
45
STEP 4 Calculate Gc
Statistical Analysis
Average Gc 5.84 J/m2 Standard deviation 0.59
J/m2
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