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A stochastic cracking theory for the introduction of matrix multiple cracking in textile reinforced concrete under tensile loading
A stochastic cracking model is used in this paper to describe the stress-strain behaviour of textile reinforced cementitious composites under monotonic tensile loading. This model is based on the well-known ACK-model, but takes into account the stochastic nature of the tensile strength of the matrix material through the use of a two-parameter Weibull distribution function. One goal of this paper was to verify whether the value of the Weibull modulus m, obtained on pure micro-concrete specimens (without reinforcement), can be inserted into the stochastic cracking model to predict the nonlinear behaviour of textile reinforced concrete specimens. When relatively low fibre volume fractions (only slightly higher than the critical fibre volume fraction) are inserted, the proposed model gives a fairly good prediction of the stress-strain behaviour of the composite, as was shown. When higher volume fractions are inserted (about 15 times the critical fibre volume fraction), the stochastic cracking model also gives a better prediction than the ACK-model. However, it was noticed that for heavily reinforced specimens matrix multiple cracking is distributed within an even broader stress range than predicted by the Weibull modulus determined on non-reinforced specimens. For heavily reinforced specimens, determination of the actual crack spacing as function of applied stress can be used to determine the real Weibull modulus and reference cracking stress of the matrix used with reinforcement. Application of the Weibull modulus obtained on this type of test into the stochastic cracking model leads to a very good prediction of the constitutive equation.
A stochastic cracking theory for the introduction of matrix multiple cracking in textile reinforced concrete under tensile loading
A stochastic cracking model is used in this paper to describe the stress-strain behaviour of textile reinforced cementitious composites under monotonic tensile loading. This model is based on the well-known ACK-model, but takes into account the stochastic nature of the tensile strength of the matrix material through the use of a two-parameter Weibull distribution function. One goal of this paper was to verify whether the value of the Weibull modulus m, obtained on pure micro-concrete specimens (without reinforcement), can be inserted into the stochastic cracking model to predict the nonlinear behaviour of textile reinforced concrete specimens. When relatively low fibre volume fractions (only slightly higher than the critical fibre volume fraction) are inserted, the proposed model gives a fairly good prediction of the stress-strain behaviour of the composite, as was shown. When higher volume fractions are inserted (about 15 times the critical fibre volume fraction), the stochastic cracking model also gives a better prediction than the ACK-model. However, it was noticed that for heavily reinforced specimens matrix multiple cracking is distributed within an even broader stress range than predicted by the Weibull modulus determined on non-reinforced specimens. For heavily reinforced specimens, determination of the actual crack spacing as function of applied stress can be used to determine the real Weibull modulus and reference cracking stress of the matrix used with reinforcement. Application of the Weibull modulus obtained on this type of test into the stochastic cracking model leads to a very good prediction of the constitutive equation.
A stochastic cracking theory for the introduction of matrix multiple cracking in textile reinforced concrete under tensile loading
Cuypers, H. (author) / Wastiels, J. (author)
2006
10 Seiten, 6 Bilder, 16 Quellen
Conference paper
English
| British Library Conference Proceedings | 2006
| British Library Online Contents | 2006