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Mechanical analysis of temperature impact on stability during superplastic tensile deformation

机译:温度对超塑性拉伸变形稳定性影响的力学分析

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Based on state equation that stress is the function of strain, strain-rate and temperature, the paper establishes the differential constitutive equation used for analyzing load-stability and the variational constitutive equation used for analyzing geometry-stability during superplastic tensile deformation, which contain strain hardening index, strain-rate sensitivity index, temperature sensitivity index introducted for the first time and temperature undulation index introducted for the first time in the paper. And then, based on the universal condition of plastic elementary theory, the paper analyzes load-stability and geometry-stability under continuously rising temperature and under the non-uniform temperature along the axes of specimen respectively. The results prove the impact of continuously rising speed and non-uniform value of temperature on deformation stability is that the faster temperature rises and the more non-uniform temperature is, the smaller the corresponding uniform strain of load-stability and geometry-stability are; strain hardening index is the necessary condition of stability during superplastic tensile deformation, and geometry-instability will not happen when load-instability occurs, but happen when uniform deformation has lasted after load-instability; in the superplastic temperature field, constant temperature is not necessary condition of superplasticitiy, but during the deformation, the slower temperature rises and the more uniform temperature is, the more stable deformation is.
机译:基于应力是应变,应变率和温度的函数的状态方程,建立了用于分析载荷稳定性的微分本构方程和用于分析超塑性拉伸变形过程中包含应变的几何稳定性的变分本构方程。本文首次引入了硬化指数,应变率敏感性指数,温度敏感性指数和温度波动指数。然后,基于塑性基本理论的普遍条件,分别分析了在连续升高的温度和不均匀温度下沿试样轴线的载荷稳定性和几何稳定性。结果证明,连续上升的速度和温度的不均匀值对变形稳定性的影响是:温度上升越快,温度越不均匀,相应的载荷稳定性和几何稳定性均匀应变就越小。应变硬化指数是超塑性拉伸变形过程中保持稳定的必要条件,当载荷不稳定时,几何不稳定将不会发生,而在载荷不稳定后持续均匀变形时,则会发生几何不稳定。在超塑性温度场中,恒定温度不是超塑性的必要条件,但是在变形过程中,温度升高越慢,温度越均匀,变形就越稳定。

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