Evans Mark
College of Engineering, Swansea University, Fabian Way, Crymlyn Burrows, Wales SA1 8EN, UK.
Materials (Basel). 2017 May 24;10(6):575. doi: 10.3390/ma10060575.
The aims of this paper were to: (a) demonstrate how iso-thermal plots of the Wilshire equation can be used to identify the correct structure of this equation (which in turn enables a meaningful description of the creep mechanism involved in deformation to be made); and (b) show how a generalized specification of batch to batch variation could produce less conservative predictions of the time to failure associated with a given degree of risk. Such predictions were obtained using maximum likelihood estimation of the parameters of a generalised F distribution. It was found that the original Wilshire-Scharning assumption of a constant activation energy for this materials is incorrect. Consequently, their interpretation of deformation being due only to dislocation creep with deteriorating microstructure at long duration test times appears to be ill founded, with the varying activation energy suggesting instead that deformation is due to grain boundary sliding accommodated by either dislocation and diffusional creep with dominance changing from the lattice to the grain boundaries as the temperature changes. Modelling batch to batch variation as a function of stress also resulted in a 50% extended safe life prediction (corresponding to a 1% chance of failure) at 873 K and 47 MPa.
(a) 演示威尔希尔方程的等温线图如何用于确定该方程的正确结构(这反过来又能对变形过程中涉及的蠕变机制进行有意义的描述);(b) 展示批次间变化的广义规范如何能对与给定风险程度相关的失效时间做出不那么保守的预测。此类预测是通过对广义F分布的参数进行最大似然估计得到的。研究发现,该材料具有恒定活化能这一原始的威尔希尔 - 沙宁假设是不正确的。因此,他们关于变形仅由位错蠕变导致且在长时间测试时微观结构会恶化的解释似乎缺乏依据,活化能的变化反而表明变形是由于晶界滑动,这种滑动由位错和扩散蠕变来调节,随着温度变化,主导机制从晶格转变为晶界。将批次间变化建模为应力的函数,在873K和47MPa条件下,还使安全寿命预测延长了50%(对应1%的失效概率)。