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Structural Engineering and Mechanics Volume 44, Number 3, November10 2012 , pages 289-303 DOI: https://doi.org/10.12989/sem.2012.44.3.289 |
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Influence of pressure-dependency of the yield criterion and temperature on residual stresses and strains in a thin disk |
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S. Alexandrov, Y.R. Jeng and E. Lyamina
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| 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. | ||
| Key Words | ||
| thin disk; plane stress conditions; pressure-dependent yield criterion; thermal loading; residual stress and strain; semi-analytic solution | ||
| Address | ||
| S. Alexandrov: Department of Mechanical Engineering and Advanced Institute for Manufacturing with High-tech Innovations, National Chung Cheng University, Chia-Yi 62102, Taiwan; A.Yu Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow 119526, Russia Y.R. Jeng: Department of Mechanical Engineering and Advanced Institute for Manufacturing with High-tech Innovations, National Chung Cheng University, Chia-Yi 62102, Taiwan E. Lyamina: A.Yu Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow 119526, Russia | ||