Environmental Engineering Reference
In-Depth Information
C
X - A
B
Φ (
X,A,B,C,
)
=
1
-
exp
-
.
.
(5.76)
Here,.parameters.are:
X.>.0;.B.>.0;.C.>.0;
X,.A,.B,.C.each.are.equal.to.discrete.symbols.
For.strength.distribution,.we.designate:
X.. =.σ bi. ;
A..=.σ bm ;
B.. =.Sj;
C.. =.N;
N-base.of.testing.
Therefore,.Equation.(5.76).for.fatigue.strength.represents.Equation.(5.77):
N
σ
-
Sj
σ
bi
bm
Φ (
σ
,
σ
, Sj, N) = 1 - exp -
.
.
(5.77)
bi
bm
If.we.consider.that:
N
σ
-
Sj
σ
bi
b
Φ (
σ
,
σ
, Sj, N) = 1 - P(t) = exp -
.
.(5.78)
bi
bm
We.get.the.logarithmic.equation,.see.Equation.(5.79):
.
ln[1.-.P(t)].=.N.ln(σ bm. -.σ bi). -.N.lnSj..
(5.79)
A.straight.line.in.logarithmic.coordinates.shows.in.Equation.(5.79)..Base.of.
testing.N.can.determine.the.inclination.of.this.straight.line..Therefore,.the.
period.of.testing.N.shall.be.determined.in.Equation.(5.80):
1n 1 - P(t)
.
N
=
.
(5.80)
(
)
1
n
σ
-
σ
- nSj
1
bm
bi
If. we. propose. that. the. shear. stress. responsible. for. delaminating. of. the.
composite,.the.period.of.testing.N.shall.be.determined.as:
 
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