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VOŘECHOVSKÝ, M. NOVÁK, D. BAŽANT, Z.
Original Title
Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions
Type
journal article - other
Language
English
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.
Keywords
Authors
VOŘECHOVSKÝ, M.; NOVÁK, D.; BAŽANT, Z.
RIV year
2007
Released
1. 2. 2007
Publisher
ASCE
Location
USA
ISBN
0733-9399
Periodical
Journal of Engineering Mechanics
Year of study
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" }