Abstract
The paper presents a plastic flow equation based on a property-dependent potential theory for geomaterials to describe the flow of sand during loadings involving rotation of principal stress direction. To overcome the shortage of the traditional potential theory with the assumption of isotropy, the property-dependent plastic potential theory is proposed by linking the strain distribution law with the material properties described by the fabric tensor. Based on the proposed potential theory, the plastic flow equation is derived from the energy dissipation in the state of the critical state, which is the function of loading stress, the degree of fabric anisotropy and the geometric relationship between fabric and stress. Therefore the proposed plastic flow equation can not only describe the uniqueness flow when the fabric is isotropic, but can also describe the non-uniqueness flow or the dependency of the plastic strain increment direction on the stress increment direction when the fabric is anisotropic. Compared with the existing non-coaxial plasticity theory, the proposed potential theory has a clearer physical meaning.
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Acknowledgements
This work was financially supported by the National Key R&D Program of China (2017YFC0504400, 2017YFC0504404) and the National Natural Science Foundation of China (5168050, 51669027). These supports are gratefully acknowledged.
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Li, Xf., He, Yq., Kong, L., Wu, W., Wang, Yc. (2019). A Novel Description of Plastic Strain Direction. In: Wu, W. (eds) Recent Advances in Geotechnical Research. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-89671-7_11
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DOI: https://doi.org/10.1007/978-3-319-89671-7_11
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