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A three-dimensional statistical damage constitutive model for geomaterials

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Abstract

We present a constitutive model for geomaterials. The unified strength theory, which is modified to be more suitable for the geotechnical engineering, is introduced to reflect the effect of the intermediate principal stress. The polyaxial test data of several rock types verifies that the unified strength theory is versatile. The failure of the micro-elements of material is supposed to be distributed randomly and follows Weibull distribution, and the strengths of elements obey the unified strength theory. A statistical damage variable is proposed. Based on the continuum damage mechanics, a statistical damage constitutive model under the complex stress state is proposed. The proposed model is verified by the tests of soft rock. The result shows that the model can well predict the stress-strain relationship of soft rock, especially the strain softening behavior. The influences of the parameters of the model are investigated.

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Authors and Affiliations

  1. Department of Civil Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, China

    Hangzhou Li, Hongjian Liao, Guangdong Xiong & Bo Han

  2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Hangzhou Li

  3. School of Aerospace, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, China

    Guiping Zhao

Authors
  1. Hangzhou Li
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  2. Hongjian Liao
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  3. Guangdong Xiong
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  4. Bo Han
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  5. Guiping Zhao
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Corresponding author

Correspondence to Hangzhou Li.

Additional information

This paper was presented at the FEOFS 2013, Jeju, Korea, June 9–13, 2013. Recommended by Guest Editor Jung-Il Song

Hangzhou Li received his B.S. degree from China University of Mining and Technology, M.S. degree from Xi’an University of Science and Technology, and Ph.D. from Xi’an Jiaotong University, China. He is a lecturer in of Civil Engineering at the Xi’an Jiaotong University, China. His current research interests include constitutive model of geomaterials and stability of geotechnical engineering.

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Li, H., Liao, H., Xiong, G. et al. A three-dimensional statistical damage constitutive model for geomaterials. J Mech Sci Technol 29, 71–77 (2015). https://doi.org/10.1007/s12206-014-1211-2

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  • DOI: https://doi.org/10.1007/s12206-014-1211-2

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