Summary
The objectives of the present paper are to find solutions for axisymmetric flow of pressure-dependent material between two rough conical walls and to compare the qualitative behavior of the solutions based on two models of pressure-dependent plasticity, the coaxial model and the double-shearing model. The constitutive equations of each model reduce to classical plasticity of pressure-independent material at specific values of the input parameters. Nevertheless, the solution behavior essentially depends on the model chosen, independently of how close the input parameters are to these specific values. In particular, such features of the solutions as the friction regime and singularity are emphasized. It is concluded that the double-shearing model only retains all features inherent to classical plasticity.
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Alexandrov, S., Lyamina, E. Flow of pressure-dependent plastic material between two rough conical walls. Acta Mechanica 187, 37–53 (2006). https://doi.org/10.1007/s00707-006-0335-6
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DOI: https://doi.org/10.1007/s00707-006-0335-6