Behaviour of Strain-hardening Cement-based Composites (SHCC) under monotonic and cyclic tensile loading: Part 2 – Modelling |
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| Authors: | Petr Jun Viktor Mechtcherine |
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| Affiliation: | 1. Technische Universität Dresden, Institute of Construction Materials, Germany;2. University of Applied Sciences of Southern Switzerland (SUPSI), DynaMat Laboratory, Switzerland;1. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong SAR, China;2. Nano and Advanced Materials Institute, Hong Kong Science Park, Shatin, Hong Kong SAR, China;3. Department of Applied Physics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China;4. Institute of Advanced Engineering Structures and Materials, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China;5. Department of Civil Engineering, The University of Hong Kong, Pokfulam, Hong Kong SAR, China;1. Technische Universität Dresden, Institute of Construction Materials, Dresden, Germany;2. Leibniz-Institut für Polymerforschung Dresden e.V., Germany |
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| Abstract: | Following the presentation of experimental work in Part I of this article 1] the present part is dedicated to the derivation of constitutive relations for Strain-hardening Cement-based Composites (SHCC) under monotonic and cyclic tensile loading. These constitutive relationships are developed on the basis of a multi-scale modelling approach which considers the determining physical phenomena observed in experimental investigations. The multi-scale model is based on reproducing the fibre-pullout behaviour under monotonic as well as under cyclic loading by a multi-linear approximation, while statistics are used to describe the variation of results as observed in the experiments. Fibre embedment length and inclination serve as main parameters. These responses are further superimposed in order to describe the stress-crack opening behaviour of each individual crack while being loaded, unloaded, or reloaded. The overall stress–strain relationships for material under tensile loading are then derived by considering an increasing number of serial cracks and the contribution of the uncracked matrix. Particular cracking behaviour is adjusted by varying the model parameters. The modelled tensile behaviour of the material is compared with representative results of uniaxial tensile tests performed on the investigated SHCC, and the results of this comparison are discussed. |
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