Even though several models exist in the literature to predict the strength durability of glass fibre (textile) reinforced concrete (GRC), a considerable gap still exists between theory and practice. No real guidelines are available for testing, model calibration and model selection. This work analyses all the uncertainties in the GRC strength durability determination process. The paper addresses the determination of the best approximating model by applying a statistical model selection method (Akaike's information criterion) on an extensive series of accelerated aging tests; a theoretical approach is presented which enables the user to check the reliability of the model selection. A method is presented for the determination of the uncertainty in the strength prediction, taking into account both the statistical distribution present on the (tensile) strength of the GRC material as well as the effect of model calibration based on a limited set of accelerated aging tests.
Van ItterbeeckP, PurnellP, CuypersH, WastielsJ: ‘Study of strength durability models for GRC: theoretical overview’, Composites Part A, 2009, 40A, 2020–2030.
2.
OrlowskyJ, RaupachM, CuypersH, WastielsJ: ‘Durability modelling of glass fibre reinforcement in cementitious environment’, Mater. Struct., 2005, 38, 155–162.
3.
PurnellP, ShortNR, PageCL: ‘A static fatigue model for the durability of glass fibre reinforced cement’, J. Mater. Sci., 2001, 36, 5385–5390.
4.
CuypersH, van ItterbeeckP, WastielsJ: ‘The effect of durability on the design of self-bearing sandwich panels with cementitious composite faces’, Proc. Conf. Brittle Matrix Composites 8, Warsaw, Poland, October 2006, Woodhead Publishing Limited, 99–108.
5.
PurnellP, CainJ, van ItterbeeckP, LeskoJ: ‘Service life modelling of fibre composites: a unified approach’, Compos. Sci. Technol., 2008, 68, (15–16), 3330–3336.
6.
KimPJ, WuHC, LinZ, LiVC, deLhoneuxB, AkersSAS: ‘Micromechanics-based durability study of cellulose cement in flexure’, Cem. Concr. Res., 1999, 29, 201–208.
7.
KatzA, BenturA: ‘Mechanisms and processes leading to changes in time in the properties of CFRC’, Adv. Cem. Based Mater., 1996, 3, 1–13.
8.
MobasherB: ‘Modelling of toughness degradation and embrittlement in cement based materials due to interfacial aging’, Proc. 13th Conf. ASCE Engineering Mechanics Division, Baltimore, MD, USA, June 1999, ASCE.
9.
MotulskyH, ChristopoulosA: ‘Fitting models to biological data using linear and nonlinear regression: a practical guide to curve fitting’, 352; 2004, New York, Oxford University Press.
10.
AkaikeH: ‘A new look at the statistical model identification’, IEEE Trans. Autom. Control, 1974, AC-19, 716–723.
11.
BosdoganH: ‘Model selection and Akaike's Information Criterion (AIC): the general theory and its analytical extensions’, Psychometrika, 1987, 3, (52), 345–370.
12.
BurnhamKP, AndersonDR: ‘Model selection and multimodel inference: a practical information-theoretic approach’, 488; 1998, New York, Springer.
13.
RissanenJ: ‘Modeling by shortest data description’, Automatica, 1978, 14, 465–471.
14.
SchwarzG: ‘Estimating the dimension of a model’, Ann. Stat., 1978, 2, (6), 461–464.
15.
SugiuraN: ‘Further analysis of the data by Akaike's information criterion and the finite corrections’, Commun. Stat. A, 1978, 7A, 13–26.
16.
HurvichCM, TsaiCL: ‘Regression and time series model selection in small samples’, Biometrica, 1989, 76, 297–307.
De RidderF, PintelonR, SchoukensJ, GillikinDP: ‘Modified AIC and MDL model selection criteria for short data records’, IEEE Trans. Instrum. Meas., 2005, 5, (53), 144–150.
19.
OrlowskyJ: ‘Zur Dauerhaftigkeit von AR –Glasbewehrung in Textilbeton’, PhD thesis, RWTH-Aachen, Aachen, Germany, 2005.
20.
PurnellP, ShortNR, PageCL, MajumdarAJ, WaltonPL: ‘Accelerated ageing characteristics of glass-fibre reinforced cement made with new cementitious matrices’, Composites Part A, 1999, 30A, 1073–1080.
21.
LitherlandKL, OakleyDR, ProctorBA: ‘The use of accelerated ageing procedures to predict the long term strength of GRC composites’, Cem. Concr. Res., 1981, 11, 455–466.
22.
van ItterbeeckP, CuypersH, OrlowskyJ, WastielsJ: ‘Evaluation of the strand in cement (SIC) test for GRCs with improved durability’, Mater. Struct., 2008, 41, 1109–1116.
23.
SchoukensJ, PintelonR: ‘Maximum likelihood estimation of errors-in-variables models using a sample covariance matrix obtained from small data sets’, Proc. 2nd Int. Workshop on ‘Total least squares and errors-in-variables modeling’, (ed. , VanhuffelS), 59–68; 1997, Philadelphia, PA, SIAM.
24.
AndersonsJ, JoffebR, HojocM, OchiaicS: ‘Glass fibre strength distribution determined by common experimental methods’, Compos. Sci. Technol., 2002, 1, (62), 131–145.
25.
PurnellP: ‘Interpretation of climatic temperature variations for accelerated ageing models’, J. Mater. Sci., 2004, 39, 113–118.
26.
OrlowskyJ, RaupachM: ‘Durability model for AR-glass fibres in textile reinforced concrete’, Mater. Struct., 2008, 41, 1225–1233.
27.
BSI: ‘Actions on structures’, BS EN 1991-1, BSI, London, 2001.
28.
CuypersH: ‘Analyses and design of sandwich panels with brittle matrix composite faces for building applications’, Doctoral thesis, Vrije Universiteit Brussel, Brussels, Belgium, 2002.
29.
BSI: ‘Design of concrete structures. Part 1-1 – General rules for buildings’, BS EN 1992-1-1, BSI, London, 2004.
