A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
This chapter defines and describes in clear, simple mathematical terms the physical basis of how the characteristics of a population of flaws (which is usually not observed) determines the characteristics of a distribution of strengths (which is what is measured) through the mediating influences of the sample and component sizes (which are what is controlled). This is forward analysis and is focused on answering the question “what could we expect?” This chapter is quite pedagogical and the examples ideal as they will all be determined by analysis. The analysis is based on stochastic extreme value size effects on strength, in which a strength‐controlling flaw in a component is drawn from an invariant population and the flaw probability is determined solely by component size. The analysis is applicable to all brittle components.
This chapter defines and describes in clear, simple mathematical terms the physical basis of how the characteristics of a population of flaws (which is usually not observed) determines the characteristics of a distribution of strengths (which is what is measured) through the mediating influences of the sample and component sizes (which are what is controlled). This is forward analysis and is focused on answering the question “what could we expect?” This chapter is quite pedagogical and the examples ideal as they will all be determined by analysis. The analysis is based on stochastic extreme value size effects on strength, in which a strength‐controlling flaw in a component is drawn from an invariant population and the flaw probability is determined solely by component size. The analysis is applicable to all brittle components.
Flaw Populations
Cook, Robert F. (author)
Particle Strengths ; 81-111
2023-02-04
31 pages
Article/Chapter (Book)
Electronic Resource
English
Bimodal strength distributions and flaw populations of ceramics and fibres
| British Library Online Contents | 2000
| IuD Bahn | 2014
| IuD Bahn | 2010
Statistical analysis of failure of SiC fibres in the presence of bimodal flaw populations
| British Library Online Contents | 1997
| British Library Online Contents | 2018