Weibull Failure Probability Calculator
Failure probability of a brittle material at a given stress — ceramics & glass honesty.
Brittle materials don't have 'a' strength — they have a distribution set by their worst flaw. Low m means scatter: design glass at a third of its mean strength, ceramics at half.
Formula
Weibull Failure Probability Calculator is a free weibull modulus for design engineers, metallurgists and QA inspectors — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Weibull Failure Probability Calculator
Failure probability of a brittle material at a given stress — ceramics & glass honesty. The calculation implements P_f = 1 − exp[−(σ/σ₀)^m] (Weibull (1951); ceramic design practice). Brittle materials don't have 'a' strength — they have a distribution set by their worst flaw. Low m means scatter: design glass at a third of its mean strength, ceramics at half.
How to use Weibull Failure Probability Calculator
- 1Enter Applied stress in MPa.
- 2Enter Characteristic strength σ₀ (63.2%) in MPa.
- 3Enter Weibull modulus m (Engineering ceramics 8–20 · glass 2–5 · metals 50+).
- 4Read Failure probability instantly — no submit button needed.
Why use Weibull Failure Probability Calculator?
- ✓Implements the standard formula — P_f = 1 − exp[−(σ/σ₀)^m]
- ✓Reference cited on-page: Weibull (1951); ceramic design practice
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Weibull Failure Probability Calculator use?+
It computes P_f = 1 − exp[−(σ/σ₀)^m], per Weibull (1951); ceramic design practice. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Brittle materials don't have 'a' strength — they have a distribution set by their worst flaw. Low m means scatter: design glass at a third of its mean strength, ceramics at half.
Where do the material property defaults come from?+
Defaults are standard handbook values (ASM, manufacturer datasheets, the cited standard). Always substitute certified values from your material's test certificate for critical work.
Is the Weibull Failure Probability Calculator free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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