Scaling in size, time and risk—The problem of huge extrapolations and remedy by asymptotic matching

ZP Bažant, HT Nguyen, AA Dönmez - Journal of the Mechanics and Physics …, 2023 - Elsevier
The scaling of structural response of concrete structures to large structure sizes, to long
service lives and to tolerable failure probabilities is a problem of order-of-magnitude …

[图书][B] Statistical analysis of reliability data

MJ Crowder - 2017 - taylorfrancis.com
STATISTICAL ANALYSIS OF RELIABILITY DATA Page 1 Page 2 STATISTICAL ANALYSIS OF
RELIABILITY DATA Page 3 Page 4 CHAPMAN & HALL/CRC Texts in Statistical Science Series …

The strength of hybrid glass/carbon fibre composites: part 2 a statistical model

PW Manders, MG Bader - Journal of materials science, 1981 - Springer
When carbon fibre is combined with less-stiff higher-elongation glass fibre in a hybrid
composite an enhancement of the failure strain of the carbon fibre reinforced phase is …

Design of quasibrittle materials and structures to optimize strength and scaling at probability tail: an apercu

ZP Bažant - Proceedings of the Royal Society A, 2019 - royalsocietypublishing.org
The objective in materials or structure design has been to maximize the mean strength.
However, as generally agreed, engineering structures, such as bridges, aircraft or …

The chain-of-bundles probability model for the strength of fibrous materials I: analysis and conjectures

DG Harlow, SL Phoenix - Journal of composite materials, 1978 - journals.sagepub.com
Analytical results are discussed for the chain-of-bundles probability model for the strength of
fibrous materials. Two load sharing rules are considered for failed and nonfailed fibers in a …

Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling

JL Le, ZP Bažant, MZ Bazant - Journal of the Mechanics and Physics of …, 2011 - Elsevier
Engineering structures must be designed for an extremely low failure probability such as
10− 6, which is beyond the means of direct verification by histogram testing. This is not a …

Strength and reliability of fiber-reinforced composites: localized load-sharing and associated size effects

M Ibnabdeljalil, WA Curtin - International Journal of Solids and Structures, 1997 - Elsevier
The statistical aspects of the failure of large 3-D unidirectional fiber reinforced composites
are studied numerically and analytically. A 3-D lattice Green's function model is used to …

Tensile strength of unidirectionally reinforced composites—I

SB Batdorf - Journal of reinforced plastics and composites, 1982 - journals.sagepub.com
Between 1964 and 1980 most micromechanical analyses of composite strength have been
based on the chain-of-bundles model. The present in vestigation abandons this model and …

Probability distributions for the strength of composite materials II: A convergent sequence of tight bounds

DG Harlow, SL Phoenix - International Journal of Fracture, 1981 - Springer
A sequence of convergent upper bounds is developed for the probability distribution of
strength of composite materials. The analysis is based on the well-known chain-of-bundles …

A comparison of probabilistic techniques for the strength of fibrous materials under local load-sharing among fibers

SL Phoenix, RL Smith - International Journal of Solids and Structures, 1983 - Elsevier
In this paper we compare three distinct asymptotic analyses for the probability distribution for
strength of a certain class of fibrous materials. This class, which contains composite …