Uniaxial tensile tests were carried on a ceramic. The following strength values

zachutnat4o 2021-11-20 Answered
Uniaxial tensile tests were carried on a ceramic. The following strength values were obtained:
310, 380, 400, 415, 448, 455, 475, 489, 500, and 502.
a. Calculate the probability of survival or probability of failure for these data. What is the Weibull modulus? Also calculate the characteristic strength.
b. What is the tensile strength at 50% survival probability? If the volume was increased three fold, what would be the new strength value at 50% survival probability?
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Xyle1991
Answered 2021-11-21 Author has 15 answers

If N samples are tested, we rank their strength in ascending order to obtain the failure probability.
F(V)=iN+i
TestF(V)Strenght(σ)10.0531020.138030.1440040.1941550.2444860.2945570.3347580.3848990.43500100.48502

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Steven Arredondo
Answered 2021-11-22 Author has 18 answers
Now plowing lnln[11F(V)]
=m(lg{σ}lg{σ0})
m=5.9 and σ0=476
P(V)=exp[VV0(σσ0)m]
0.5=exp[6020(σ476)6]
σ=373MPa
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