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LE, J. XU, Z. ELIÁŠ, J.
Original Title
Internal Length Scale of Weakest-Link Statistical Model for Quasi-Brittle Fracture
Type
journal article in Web of Science
Language
English
Original Abstract
Anchored by the theory of extreme value statistics, Weibull distribution is the most widely used mathematical model for strength distribution of brittle structures. In a series of recent studies, a finite weakest-link model was developed for strength distribution of quasi-brittle structures, and the classical Weibull distribution was shown to represent the large-size asymptote of the model. By employing a length scale, the finite weakest-link model is capable of capturing correctly the size effects on both the probability distribution and the mean value of structural strength. However, the connection of this length scale with the basic material properties is still missing. This study investigates the relationship between the length scale of the finite weakest-link model and the material length scales by analyzing the size effect on the mean structural strength. The mathematical form of this relationship is derived through dimensional analysis. To validate the model, a set of mean size effect curves is obtained through stochastic simulations, which use a nonlinear constitutive model involving both the Irwin characteristic length and the crack band width. The internal length scale of the weakest-link model is determined by optimum fitting of the benchmark size effect curves in the small-size range. Furthermore, the effect of stress field on this internal length scale is studied by considering three different loading configurations. The present analysis reveals the importance of the mean size effect analysis for the calibration of finite weakest-link model.
Keywords
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Authors
LE, J.; XU, Z.; ELIÁŠ, J.
Released
13. 2. 2018
ISBN
0733-9399
Periodical
Journal of Engineering Mechanics
Year of study
144
Number
4
State
United States of America
Pages from
040180171
Pages to
0401801711
Pages count
11
URL
https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001430
BibTex
@article{BUT147054, author="Jia-Liang {Le} and Zhifeng {Xu} and Jan {Eliáš}", title="Internal Length Scale of Weakest-Link Statistical Model for Quasi-Brittle Fracture", journal="Journal of Engineering Mechanics", year="2018", volume="144", number="4", pages="040180171--0401801711", doi="10.1061/(ASCE)EM.1943-7889.0001430", issn="0733-9399", url="https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001430" }