Publication detail

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

VOŘECHOVSKÝ, M. NOVÁK, D. BAŽANT, Z. PANG, S.

Original Title

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

English Title

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

Type

journal article - other

Language

en

Original Abstract

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.

English abstract

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.

Keywords

size effect, stratified sampling, crack band modelelement method, modelling, energetic-statistical

RIV year

2007

Released

10.09.2007

Publisher

Wiley

Location

BE

Pages from

1297

Pages to

1320

Pages count

23

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"
}