9716

Weibull Statistics for Fracture Data

As a result of defects in ceramic materials, the stress at which a specimen fractures can vary widely. For five different materials, the probability of fracture is shown as a function of the applied stress. The fracture data can be analyzed using Weibull statistics. The Weibull modulus, , quantifies the scatter of the strength values (i.e., high values of indicate low scatter); the critical stress, , depends on the material. The Weibull parameters can be adjusted to fit the different datasets.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The dataset for alumina is from J. Roesler, H. Harders, and M. Baeker, Mechanical Behaviour of Engineering Materials: Metals, Ceramics, Polymers, and Composites, New York, NY: Springer Berlin Heidelberg, 2007. The datasets for silicon nitride, silicon carbide, and aluminum nitride are from M. A. Meyers and K. K. Chawla, Mechanical Behavior of Materials, Upper Saddle River, N.J.: Prentice Hall, 1999. The dataset for tungsten carbide is from L. Guerra Rosa, J. Lamon, I. Figueiredo, and F. A. Costa Oliveria, "A Method to Distinguish Extrinsic and Intrinsic Fracture-Origin Populations in Monolithic Ceramics," Journal of the European Ceramic Society, 26(16), 2006 pp. 3887–3895.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+