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An alternative constitutive equation for superplasticity

机译:超塑性的替代本构方程

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摘要

Different models have been put forward to explain superplasticity. Most of the models predict the independency of activation energy (Q) on stress. Superplasticity is observed in region II of creep curve (logs Vs σ/E). The most commonly considered mechanism for superplastic flow involves Grain Boundary Sliding (GBS), and it is necessary for an accommodation process to accompany GBS. The accommodation process might be grain boundary migration, recrystalisation, diffusional flow or some dislocation slip process. But the Arrhenius type of equation given by Becker gives the dependency of activation energy on stress. Here in this work we have considered this equation and relation between Q and σ is found out using genetic algorithm. The present model development studies the parameter optimization, where parameters appearing in the stress and energy relationship equation e.g. relationship between Q(σ) and σ for the Q(σ) equation given in present work as well as pre-exponential factors are optimized with the objective function being the error minimization of model predicted values and experimental data of strain are available from open literature.
机译:提出了不同的模型来解释超塑性。大多数模型预测活化能(Q)对压力的独立性。在蠕变曲线的II区观察到超塑性(log Vsσ/ E)。超塑性流动最常被考虑的机制涉及晶粒边界滑动(GBS),并且有必要在适应过程中伴随GBS。调节过程可能是晶界迁移,再结晶,扩散流或位错滑移过程。但是贝克尔给出的Arrhenius型方程给出了活化能对应力的依赖性。在本文中,我们考虑了该方程,并使用遗传算法找出了Q和σ之间的关系。本模型开发研究参数优化,其中参数出现在应力和能量关系方程中,例如对于当前工作中给出的Q(σ)方程,Q(σ)和σ之间的关系以及预指数因子进行了优化,其目标函数是模型预测值的误差最小化以及应变的实验数据可从公开文献中获得。

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