Modelling post-crack tension-softening behavior of fiber-reinforced materials

Matthes, Sascha Djamal; Ballani, Felix; Stoyan, Dietrich

doi:10.1016/j.probengmech.2016.04.001

Cited by 2 publications

(9 citation statements)

References 29 publications

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“…Our model is based on the following assumptions (see also [ 16 , 49 ]): The UHPC matrix is a statistically homogeneous material [ 52 ], (p. 28). Fibres are straight with cylindrical geometry.…”

Section: Methodsmentioning

confidence: 99%

“…Fibres crossing the crack counteract the opening of the crack. According to [ 34 , 49 ], the composite stress (or mean resistance force per unit area) at crack width w is obtained by

where

denotes the joint probability density of inclination angle and embedded length of crack-crossing fibres.

is the mean number of fibres per unit area in C .…”

Section: Methodsmentioning

confidence: 99%

“…The spatial homogeneity of the Boolean model implies that

is uniformly distributed on

. The planar characteristics are related to the spatial characteristics as follows [ 49 , 50 , 53 ]

where

is the expected number of fibres per unit area in C .…”

Section: Methodsmentioning

confidence: 99%

“…A model for the single-fibre contributions to the tensile behaviour is obtained by fitting piecewise linear functions to the force–slip curves observed in single-fibre pull-out tests. Following [ 34 , 49 ], the predicted tensile curve is the sum of all single-fibre pull-out force contributions of crack-crossing fibres. In practice, the tensile behaviour of individually embedded fibres (as used in the pull-out tests) may show deviations from the behaviour of fibres in a larger UHPFRC sample [ 31 ].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Predicting the Tensile Behaviour of Ultra-High Performance Fibre-Reinforced Concrete from Single-Fibre Pull-Out Tests

et al. 2022

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In this paper, a prediction model for the tensile behaviour of ultra-high performance fibre-reinforced concrete is proposed. It is based on integrating force contributions of all fibres crossing the crack plane. Piecewise linear models for the force contributions depending on fibre orientation and embedded length are fitted to force–slip curves obtained in single-fibre pull-out tests. Fibre characteristics in the crack are analysed in a micro-computed tomography image of a concrete sample. For more general predictions, a stochastic fibre model with a one-parametric orientation distribution is introduced. Simple estimators for the orientation parameter are presented, which only require fibre orientations in the crack plane. Our prediction method is calibrated to fit experimental tensile curves.

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Section: Methodsmentioning

confidence: 99%

“…Fibres crossing the crack counteract the opening of the crack. According to [ 34 , 49 ], the composite stress (or mean resistance force per unit area) at crack width w is obtained by

where

denotes the joint probability density of inclination angle and embedded length of crack-crossing fibres.

is the mean number of fibres per unit area in C .…”

Section: Methodsmentioning

confidence: 99%

“…The spatial homogeneity of the Boolean model implies that

is uniformly distributed on

. The planar characteristics are related to the spatial characteristics as follows [ 49 , 50 , 53 ]

where

is the expected number of fibres per unit area in C .…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Predicting the Tensile Behaviour of Ultra-High Performance Fibre-Reinforced Concrete from Single-Fibre Pull-Out Tests

et al. 2022

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“…The investigations carried out so far have shown that the production of higher-quality molded glass products from residues is most difficult because the composition of these substances, consisting of ashes, slags, and dusts, varies greatly [ 7 , 8 , 9 , 10 , 11 ]. In addition, melts of these materials usually have difficult processing properties, such as low viscosity, a strong tendency to crystallize, and a relatively high processing temperature.…”

Section: Introductionmentioning

confidence: 99%

Application of Statistical Methods in Predicting the Properties of Glass-Ceramic Materials Obtained from Inorganic Solid Waste

et al. 2021

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This paper uses mathematical methods as the basic tool at the stage of experiment planning. The importance of research programming applications was shown using the theory of experiments and the STATISTICA software. The method of experiment planning used in the case of studying the properties of a mixture, depending on its composition, features considerable complexity. The aim of the statistical analysis was to determine the influence of variable chemical composition of waste materials on selected properties of glass-ceramic materials. A statistical approach to multicomponent systems, such as ceramic sets, enables the selection of appropriate amounts of raw materials through the application of ‘a plan for mixtures’. To utilize the raw waste materials, e.g., slags from a solid waste incinerator, fly or bottom ashes, in the modeling of new materials, a mathematical relationship was developed, which enables estimating, based on the waste chemical composition, selected technological and practical properties of the glass so as to obtain a material featuring the required technological–practical parameters. For the obtained glasses, a comparative analysis of the experimentally and computationally determined properties was carried out: transformation temperature, liquidus temperature, density, and thermal expansion coefficient. The obtained high theoretical approximation (at the level of determination correlation coefficient R2 > 0.8) confirms the suitability of the polynomial model for mixtures for applications in the design of new glass-ceramic products.

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Modelling post-crack tension-softening behavior of fiber-reinforced materials

Cited by 2 publications

References 29 publications

Predicting the Tensile Behaviour of Ultra-High Performance Fibre-Reinforced Concrete from Single-Fibre Pull-Out Tests

Predicting the Tensile Behaviour of Ultra-High Performance Fibre-Reinforced Concrete from Single-Fibre Pull-Out Tests

Application of Statistical Methods in Predicting the Properties of Glass-Ceramic Materials Obtained from Inorganic Solid Waste

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