Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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",
  annote="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.",
  address="ASCE",
  chapter="44316",
  institution="ASCE",
  journal="Journal of Engineering Mechanics",
  number="2",
  volume="133",
  year="2007",
  month="february",
  pages="153--162",
  publisher="ASCE",
  type="journal article - other"
}