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Stress and strain fields in rotating elastic/plastic annular disks of pressure-dependent material
Authors:Sergei Alexandrov  Kwansoo Chung
Affiliation:1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;3. Department of Materials Science and Engineering, Research Institute of Advanced Materials, Engineering Research Institute, Seoul National University, Seoul, Republic of Korea
Abstract:The Drucker–Prager yield criterion is used in conjunction with its associated flow rule to find the elastic/plastic stress and strain distributions within the rotating annular disks under plane stress conditions. The main distinguished feature of the model, as compared to typical models used for analysis of disks, is that the material is plastically compressible. Using an approach proposed elsewhere, the solution for strain rates is reduced to one nonlinear ordinary differential equation and two linear ordinary differential equations. These equations can be solved one by one, which significantly simplifies the numerical treatment and increases the accuracy of solution.
Keywords:Plastic yielding  rotating disks  the Drucker–Prager yield criterion
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