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http://dx.doi.org/10.12989/sem.2012.44.3.289

Influence of pressure-dependency of the yield criterion and temperature on residual stresses and strains in a thin disk  

Alexandrov, S. (Department of Mechanical Engineering and Advanced Institute for Manufacturing with High-tech Innovations, National Chung Cheng University)
Jeng, Y.R. (Department of Mechanical Engineering and Advanced Institute for Manufacturing with High-tech Innovations, National Chung Cheng University)
Lyamina, E. (A.Yu Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences)
Publication Information
Structural Engineering and Mechanics / v.44, no.3, 2012 , pp. 289-303 More about this Journal
Abstract
Existing plane stress solutions for thin plates and disks have shown several qualitative features which are difficult to handle with the use of commercial numerical codes (non-existence of solutions, singular solutions, rapid growth of the plastic zone with a loading parameter). In order to understand the effect of temperature and pressure-dependency of the yield criterion on some of such features as well as on the distribution of residual stresses and strains, a semi-analytic solution for a thin hollow disk fixed to a rigid container and subject to thermal loading and subsequent unloading is derived. The material model is elastic-perfectly/plastic. The Drucker-Prager pressure-dependent yield criterion and the equation of incompressibity for plastic strains are adopted. The distribution of residual stresses and strains is illustrated for a wide range of the parameter which controls pressure-dependency of the yield criterion.
Keywords
thin disk; plane stress conditions; pressure-dependent yield criterion; thermal loading; residual stress and strain; semi-analytic solution;
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