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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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Dokumentinformationen

Titel:

Deterministic Scaling of Particle Strength Distributions

Beteiligte:

Cook, Robert F. (Autor:in)

Erschienen in:

Particle Strengths ; 233-272

Erscheinungsdatum:

04.02.2023

Format / Umfang:

40 pages

ISBN:

9781119850960 , 9781119850939

DOI:

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

Medientyp:

Aufsatz/Kapitel (Buch)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

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

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