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A Second-Order Multiscale Fracture Model for the Brittle Materials with Periodic Distribution of Micro-Cracks

Zhiqiang Yang^1,*, Yipeng Rao², Yi Sun¹, Junzhi Cui², Meizhen Xiang^3,*

1 Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China
2 LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
3 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

* Corresponding Authors: Zhiqiang Yang, Meizhen Xiang. Email: ,

The International Conference on Computational & Experimental Engineering and Sciences 2023, 27(1), 1-1. https://doi.org/10.32604/icces.2023.09513

Abstract

An effective fracture model is established for the brittle materials with periodic distribution of micro-cracks using the second-order multiscale asymptotic methods. The main features of the model are: (i) the secondorder strain gradient included in the fracture criterions and (ii) the strain energy and the Griffith criterions for micro-crack extensions established by the multiscale asymptotic expansions. Finally, the accuracy of the presented model is verified by the experiment data and some typical fracture problems. These results illustrate that the second-order fracture model is effective for analyzing the brittle materials with periodic distribution of micro-cracks.

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Keywords

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