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Experimental Visualisation Methods for Three-Dimensional Stress Fields of Porous Solids

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Abstract

The physical visualisation of a three-dimension (3D) stress field is a promising method for quantitatively analysing and revealing the stress distribution and evolution of a porous solid, and it significantly contributes to the understanding of the governing effects of stress fields on the mechanical behaviours of complex porous solids. However, experimental limitations regarding the manufacture of complex porous models and the extraction of the stress distributions in matrices inhibit the accurate visualisation of the 3D stress fields of porous structures. This paper presents a method of experimentally visualising and elucidating the 3D structures and stress fields of porous solids using photopolymer materials, 3D printing, the frozen-stress method, and photoelastic tests. Transparent thick discs containing various randomly distributed pores were produced using photopolymer materials and 3D printing technology. Experimental measures, including the frozen-stress method, photoelastic testing, and the phase-shifting method, were applied to quantitatively characterise the 3D stress fields distributed throughout the porous discs under radial-direction compressive loads. The temperature for ‘freezing’ stresses in the photopolymer materials was experimentally determined. The effects of pore distribution and population on the stress-field characteristics were investigated. The experimental results were used to validate the numerical analysis of the stress-field characteristics of the porous models. The visualisation test results agreed well with those of the numerical simulations. The proposed method can be used to visually quantify the characteristics and evolution of the 3D stress fields of porous solids.

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Acknowledgements

The authors gratefully acknowledge the financial support received from the National Natural Science Foundation of China (Grant Nos. 51374213, 51674251), the State Key Research Development Program of China (Grant No. 2016YFC0600705), the National Natural Science Fund for Distinguished Young Scholars (Grant No. 51125017), the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (Grant No. 51421003), the Fund for Creative Research and Development Group Program of Jiangsu Province (Grant No. 2014-27) and the Priority Academic Program Development of Jiangsu Higher Education Institutions (Grant No. PAPD-2014). Especially, the authors would also like to express their gratitude to the editors and the anonymous reviewers for their valuable comments, which have greatly improved this paper.

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Authors and Affiliations

  1. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology at Beijing, D11 Xueyuan Road, Beijing, 100083, China

    Y. Ju

  2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, China

    Y. Ju

  3. School of Mechanics and Civil Engineering, China University of Mining and Technology, D11 Xueyuan Road, Beijing, 100083, China

    Y. Ju, Z. Zheng, J. Lu, L. Wang & K. He

  4. College of Hydraulic and Hydroelectric Engineering, Sichuan University, Chengdu, 610065, China

    H. Xie

  5. School of Civil, Environmental and Mining Engineering, The University of Western Australia, Crawley, WA, 6009, Australia

    L. Wang

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Correspondence to Y. Ju.

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Ju, Y., Zheng, Z., Xie, H. et al. Experimental Visualisation Methods for Three-Dimensional Stress Fields of Porous Solids. Exp Tech 41, 331–344 (2017). https://doi.org/10.1007/s40799-017-0178-1

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