Publication result detail

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

VOŘECHOVSKÝ, M.; NOVÁK, D.; BAŽANT, Z.

Original Title

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

English Title

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

An improved form of a recently derived energetic-statistical formula for size effect on the strength of quasibrittle structures failing at crack initiation is presented and exploited to perform stochastic structural analysis without the burden of stochastic nonlinear finite-element simulations. The characteristics length for the statistical term in this formula is deduced by considering the limiting case of the energetic part of size effect for a vanishing thickness of the boundary layer of cracking. A simple elastic analysis of stress field provides the large-size asymptotic deterministic strength, and also allows evaluating the Weilbull probability integral which yields the mean strength according to the purely statistical Weilbull theory. A deterministic plastic limit analysis of an elastic body with a throughcrack imagined to be filled by a perfectly plastic" glue" is used to obtain the small-size effect.

English abstract

An improved form of a recently derived energetic-statistical formula for size effect on the strength of quasibrittle structures failing at crack initiation is presented and exploited to perform stochastic structural analysis without the burden of stochastic nonlinear finite-element simulations. The characteristics length for the statistical term in this formula is deduced by considering the limiting case of the energetic part of size effect for a vanishing thickness of the boundary layer of cracking. A simple elastic analysis of stress field provides the large-size asymptotic deterministic strength, and also allows evaluating the Weilbull probability integral which yields the mean strength according to the purely statistical Weilbull theory. A deterministic plastic limit analysis of an elastic body with a throughcrack imagined to be filled by a perfectly plastic" glue" is used to obtain the small-size effect.

Keywords

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Key words in English

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Authors

VOŘECHOVSKÝ, M.; NOVÁK, D.; BAŽANT, Z.

Released

01.02.2007

Publisher

ASCE

Location

USA

ISBN

0733-9399

Periodical

JOURNAL OF ENGINEERING MECHANICS

Volume

133

Number

2

State

United States of America

Pages from

153

Pages to

162

Pages count

10

BibTex

@article{BUT44316,
  author="Miroslav {Vořechovský} and Drahomír {Novák} and Zdeněk P. {Bažant}",
  title="Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions",
  journal="JOURNAL OF ENGINEERING MECHANICS",
  year="2007",
  volume="133",
  number="2",
  pages="153--162",
  issn="0733-9399"
}