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压痕尺寸效应的理论分析
Theoretical Analysis of Indentation Size Effect
【摘要】 针对微纳米尺度下材料硬度测试中出现的压痕尺寸效应(ISE),指出目前用于解释压痕尺寸效应较为常用理论方法;介绍了应变梯度塑性理论的发展过程,引入了几何必需位错密度的概念,详细地描述了Nix-Gao模型及其修正模型的产生,对于预测硬度随压痕深度的变化趋势提供了很好的预测;介绍了能量平衡方法的形成过程,通过描述Meyer方程、Hays-Kendall方法和比例试样阻力模型,推导出能量平衡方程,为分析试验结果提供了理论模型;通过理论公式推导,分析两种理论分析方法对于压痕尺寸效应分析的一致性.
【Abstract】 The theories generally used to interpret the indentation size effect(ISE) observed in hardness measurement at micro/nano scale are presented.The progress of micro-mechanism based strain gradient plasticity theory is introduced and a new concept of geometrically necessary dislocations density is brought forward.The Nix-Gao model and its modification,which can predict the trend of hardness with indentation depth’s change,are described in detail. The progress of energy balance approach which gives a theoretical model for the analysis of experiments results is introduced too.The energy balance equation is deduced by analyzing Meyer’s law,Hays-Kendall approach and proportional specimen resistance model.After reasoning,consistency between these two theories is pointed out.
【Key words】 indentation size effect; strain gradient plasticity theory; Nix-Gao model; energy balance approach; Meyer′s law; Hays-Kendall approach; proportional specimen resistance model;
- 【文献出处】 测试技术学报 ,Journal of Test and Measurement Technology , 编辑部邮箱 ,2009年01期
- 【分类号】TB302
- 【被引频次】20
- 【下载频次】738