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A Novel Fractional Plastic Damage Model for Quasi-brittle Materials

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Abstract

In this work, a novel constitutive model is developed within the framework of fractional plasticity to delineate the coupling between inelastic deformation and damage of quasi-brittle materials. Faced with the common challenge of determining plastic flow direction, we resort herein to the Riemann–Liouville definition of fractional derivatives, instead of introducing an additional plastic potential. The pre-peak hardening behavior is described using an exponential function, while the post-peak softening response is viewed as the consequence of material damage. For describing damage evolution, a damage criterion is constructed in terms of plastic volume dilation related to micro-crack growth. This is conducive to supply a new insight for describing the complex influence of the non-orthogonality of plastic flow on damage evolution. For numerical applications, a semi-implicit return mapping algorithm is proposed. The predictive performance of the model is evaluated by comparing numerical simulations with experimental data under various loading paths.

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Acknowledgements

This work has been jointly supported by the Fundamental Research Funds for the Central Universities (B210203014), the National Key Research and Development Program of China ( 2017YFC1501100 ) and the National Natural Science Foundation of China (Grant No. 11872172).

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Authors and Affiliations

  1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, 210098, China

    Peng-Fei Qu & Qi-Zhi Zhu

  2. College of Civil and Transportation Engineering, Hohai University, Nanjing, 210098, China

    Peng-Fei Qu & Qi-Zhi Zhu

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  1. Peng-Fei Qu
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  2. Qi-Zhi Zhu
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Correspondence to Qi-Zhi Zhu.

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Qu, PF., Zhu, QZ. A Novel Fractional Plastic Damage Model for Quasi-brittle Materials. Acta Mech. Solida Sin. 34, 706–717 (2021). https://doi.org/10.1007/s10338-021-00240-0

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  • DOI: https://doi.org/10.1007/s10338-021-00240-0

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