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Phase-field fracture analysis of heterogeneous materials based on homogenization method

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Abstract

A homogenization-based phase-field method is introduced to systematically investigate fracture behavior of heterogeneous materials in this research. The construction of a homogeneous medium equivalent to a heterogeneous one is fulfilled by employing different homogenization methods. In this way, the fracture response of heterogeneous materials can be obtained by fracture analysis of homogeneous materials. On the one hand, the proposed method provided a new technique to study the influence of mesoscopic information of heterogeneous materials on its macroscopic fracture behavior. On the other hand, the fine meshing required for directly solving the fracture problem of heterogeneous materials can be avoided. The proposed technique can reproduce both the mechanical force response and crack path with good accuracy. In the numerical examples, the effect of mesoscopic information of periodically heterogeneous material and porous medium on their fracture behavior is investigated in detail. Results show that the proposed method is efficient and reliable and has the potential in fracture analysis of heterogeneous materials.

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Data and results will be made available upon reasonable requests.

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Acknowledgements

The authors would like to acknowledge with great gratitude for the supports of the National Science Foundation of China (Grant No: 51778551) and the Science and Technology Plan Project of Wenzhou (Grant. No. S20220004).

Funding

Funding was provided by National Natural Science Foundation of China (Grant No. 51778551), Science and Technology Plan Project of Wenzhou, China (Grant No. S20220004).

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Authors and Affiliations

  1. Department of Civil Engineering, College of Civil Engineering and Architecture, Wenzhou University, Wenzhou, Zhejiang, China

    Jihai Yuan, Song He & Lei Wang

  2. Key Laboratory of Engineering and Technology for Soft Soil Foundation and Tideland Reclamation of Zhejiang Province, Wenzhou, Zhejiang, China

    Jihai Yuan, Song He & Lei Wang

  3. Wenzhou Engineering Technical Research Center on Building Energy Conservation and Emission Reduction and Disaster Prevention and Mitigation, Wenzhou, Zhejiang, China

    Jihai Yuan, Song He & Lei Wang

  4. Zhejiang Collaborative Innovation Center of Tideland Reclamation and Ecological Protection, Wenzhou, Zhejiang, China

    Jihai Yuan & Song He

  5. Department of Civil Engineering, School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen, Fujian, China

    Changping Chen

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  1. Jihai Yuan
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Correspondence to Jihai Yuan.

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Yuan, J., He, S., Chen, C. et al. Phase-field fracture analysis of heterogeneous materials based on homogenization method. Acta Mech 235, 1083–1107 (2024). https://doi.org/10.1007/s00707-023-03798-7

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  • DOI: https://doi.org/10.1007/s00707-023-03798-7

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