Detail publikace

Energetic-statistical size edffect simulated by SFEM with stratified sampling and crack band model

Originální název

Energetic-statistical size edffect simulated by SFEM with stratified sampling and crack band model

Anglický název

Energetic-statistical size edffect simulated by SFEM with stratified sampling and crack band model

Jazyk

en

Originální abstrakt

The paper presents a model that extends the stochastic finite element method to the modelling of transitional energetic-statistical size effect in unnotched quasibrittle structures of positive geometry, and to the low probability tail of structural strength distribution, important for safe design. For small structures, the model captures the energetic (deterministic) part of size effect and, for large structures, it converges to Weibull statistical size effect required by the weakest-link model of extreme value statistics. Prediction of the tail of extremely low probability such as one in a milion, which needs to be known, for safe design, is made feasible by the fact that the form of the cumulative distribution function of a quasibrittle structure of any size has been established analytically in previous work.

Anglický abstrakt

The paper presents a model that extends the stochastic finite element method to the modelling of transitional energetic-statistical size effect in unnotched quasibrittle structures of positive geometry, and to the low probability tail of structural strength distribution, important for safe design. For small structures, the model captures the energetic (deterministic) part of size effect and, for large structures, it converges to Weibull statistical size effect required by the weakest-link model of extreme value statistics. Prediction of the tail of extremely low probability such as one in a milion, which needs to be known, for safe design, is made feasible by the fact that the form of the cumulative distribution function of a quasibrittle structure of any size has been established analytically in previous work.

BibTex


@article{BUT44476,
  author="Miroslav {Vořechovský} and Drahomír {Novák} and Zdeněk P. {Bažant} and Sze {Pang}",
  title="Energetic-statistical size edffect simulated by SFEM with stratified sampling and crack band model",
  annote="The paper presents a model that extends the stochastic finite element method to the modelling of transitional energetic-statistical size effect in unnotched quasibrittle structures of positive geometry, and to the low probability tail of structural strength distribution, important for safe design. For small structures, the model captures the energetic (deterministic) part of size effect and, for large structures, it converges to Weibull statistical size effect required by the weakest-link model of extreme value statistics. Prediction of the tail of extremely low probability such as one in a milion, which needs to be known, for safe design, is made feasible by the fact that the form of the cumulative distribution function of a quasibrittle structure of any size has been established analytically in previous work.",
  address="Wiley",
  chapter="44476",
  institution="Wiley",
  journal="International Journal for Numerical Methods in Engineering",
  number="11",
  volume="71",
  year="2007",
  month="september",
  pages="1297--1320",
  publisher="Wiley",
  type="journal article - other"
}