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research article

Random field-based modeling of size effect on the longitudinal tensile strength of clear timber

Moshtaghin, Alireza F.  
•
Franke, Steffen
•
Keller, Thomas  
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2016
Structural Safety

In the current study, a random field-based size effect model has been proposed for the longitudinal tensile strength of clear timber. Since the failure mode is brittle, the problem is basically an extreme value problem of finding the distribution of minima of strength fields for specimens of different volumes. The stochastic response has been evaluated based on the Monte Carlo method along with the weakest link theory. Within the framework of the spectral representation method, the Weibull distribution has been considered as the marginal distribution to generate realizations of the strength as a 3D random field. The squared exponential autocorrelation function has been used for the description of spatial variability. The error resulting from this model, as compared to existing experimental data in the literature, is much lower than that of the classical Weibull law. The results show that when one of the specimen's dimensions decreases to less than 10 times the correlation length of the strength field, the size effect starts to deviate from the classical size effect law. Moreover, a simple analytical approximation, which includes the correlation length as length scale, has been presented that facilitates the application of the proposed model. (C) 2015 Elsevier Ltd. All rights reserved.

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Type
research article
DOI
10.1016/j.strusafe.2015.09.002
Web of Science ID

WOS:000366072600007

Author(s)
Moshtaghin, Alireza F.  
Franke, Steffen
Keller, Thomas  
Vassilopoulos, Anastasios P.  
Date Issued

2016

Publisher

Elsevier

Published in
Structural Safety
Volume

58

Start page

60

End page

68

Subjects

Clear timber

•

Size effect

•

Longitudinal tensile strength

•

Random fields

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CCLAB  
Available on Infoscience
February 16, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/123853
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