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Deterministic Scaling of Particle Strength Distributions

Cook, Robert F.

This chapter uses the analysis of Chapter

to examine in detail the strength distributions of particle systems that demonstrate deterministic size effects. Such systems comprise the majority of particle systems at all sizes and exhibit predominantly concave strength distributions, although sigmoidal and linear distributions are also observed. Many of the particle materials that exhibited stochastic size effects considered in Chapter are represented here. Analyses are developed to describe and predict linear and concave deterministic strength distributions as functions of particle size. The analyses are based on forward and reverse application of the probabilistic framework developed in Chapter and include extreme value size effects and particle size dependent flaw populations.

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Deterministic Scaling of Particle Strength Distributions

Cook, Robert F.

This chapter uses the analysis of Chapter

to examine in detail the strength distributions of particle systems that demonstrate deterministic size effects. Such systems comprise the majority of particle systems at all sizes and exhibit predominantly concave strength distributions, although sigmoidal and linear distributions are also observed. Many of the particle materials that exhibited stochastic size effects considered in Chapter are represented here. Analyses are developed to describe and predict linear and concave deterministic strength distributions as functions of particle size. The analyses are based on forward and reverse application of the probabilistic framework developed in Chapter and include extreme value size effects and particle size dependent flaw populations.

Deterministic Scaling of Particle Strength Distributions

Cook, Robert F.

This chapter uses the analysis of Chapter

to examine in detail the strength distributions of particle systems that demonstrate deterministic size effects. Such systems comprise the majority of particle systems at all sizes and exhibit predominantly concave strength distributions, although sigmoidal and linear distributions are also observed. Many of the particle materials that exhibited stochastic size effects considered in Chapter are represented here. Analyses are developed to describe and predict linear and concave deterministic strength distributions as functions of particle size. The analyses are based on forward and reverse application of the probabilistic framework developed in Chapter and include extreme value size effects and particle size dependent flaw populations.

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Title:

Deterministic Scaling of Particle Strength Distributions

Contributors:

Cook, Robert F. (author)

Published in:

Particle Strengths ; 233-272

Publication date:

2023-02-04

Size:

40 pages

ISBN:

9781119850960 , 9781119850939

DOI:

https://doi.org/10.1002/9781119850960.ch9

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

deterministic , concave , sigmoidal , linear , probabilistic analysis , domain truncation , scaling

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