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The Weibull modulus is a dimensionless parameter of the Weibull distribution. It represents the width of a probability density function (PDF) in which a higher modulus is a characteristic of a narrower distribution of values.
For most normal-scale applications to metals and fine-grained ceramics, except for micrometer scale devices, the size is large enough for the Weibull theory to apply (but not for coarse-grained materials such as concrete). From Eq. 2 one can show that the mean strength and the coefficient of variation of strength are obtained as follows:
An example of CMC manufacture, which was introduced for the production of ceramic brake discs, is the reaction of silicon with a porous preform of C/C. [14] The process temperature is above 1,414 °C (2,577 °F), that is above the melting point of silicon, and the process conditions are controlled such that the carbon fibers of the C/C-preform ...
For example, the size, composition, crystallinity, or alignment of the fibers will dictate the properties of the composite. The interplay between matrix microcracking and fiber-matrix debonding often dominates the failure mechanism of SiC/SiC composites. This results in SiC/SiC composites having non-brittle behavior despite being fully ceramic.
The Kaniadakis κ-Weibull distribution is exhibits power-law right tails, and it has the following probability density function: [3] = + ()valid for , where | | < is the entropic index associated with the Kaniadakis entropy, > is the scale parameter, and > is the shape parameter or Weibull modulus.
Thus, there is a probabilistic nature to be accounted for in the design of ceramics. The Weibull distribution predicts the survival probability of a fraction of samples with a certain volume that survive a tensile stress sigma, and is often used to better assess the success of a ceramic in avoiding fracture.
The addition of ceramic particles in general increases the strength of the material while having a tradeoff on material ductility. For example, a Al-Al 2 O 3 composite can increase the yield strength of cast Al 6061 alloys from 105 to 120 MPa and increase the young’s modulus from 70 to 95 GPa. [ 9 ]
The materials for this type of building are accessible to those with very basic resources. Fuel for firing is the most expensive investment. The hardened membrane of a ceramic dome improves resistance to earthquakes. The structure of a ceramic house improves passive heat use through thermal mass. Added benefits involving the firing process ...