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首页> 外文期刊>Journal of Materials Science >Use of normalized porosity in models for the porosity dependence of mechanical properties
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Use of normalized porosity in models for the porosity dependence of mechanical properties

机译：归一化孔隙率在模型中用于机械性能的孔隙率依赖性

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The use of normalized porosity in models for the porosity dependence of mechanical properties is addressed first for the frequently used power law expression for such dependence, i.e., E/E-0 = (1 - P)(n) where E is the property of interest at any volume fraction porosity (P) and Eo is the value of E at P = 0. Normalizing P by P-C, the value of P at which the property of interest inherently goes to zero, giving E/E-0 = (1 - P/P-C)n, clearly calls attention to the importance of P-C values <1 (e.g., potentially as low as similar to0.2), a fact long known but inadequately recognized. Serious problems from the arbitrary use of both n and Pc as fitting parameters with little or no guidance as to the dependence that n and Pc (which is microstructurally sensitive) have on the type of porosity are shown. Further, porosity normalization of the power law model indicates at best limited compression of different porosity dependences into a single universal porosity dependence function and little distinguishing of property dependences as a function of the type of porosity. However, normalized porosity of minimum solid area (MSA) models gives a single universal porosity dependence. The difference in responses to P normalization of the two modeling approaches is attributed to their being based respectfully on little or no pore character and on detailed pore character. Thus, P normalization may be a valuable tool for evaluating porosity models, but must be applied in a more rigorous fashion, i.e., P-C determined primarily by measurement and correlation with the type of porosity (as with MSA models) and not as an arbitrary fitting parameter as used in the evaluations of the power law model. (C) 2005 Springer Science + Business Media, Inc.
机译：首先针对模型的归一化孔隙度对机械性质的孔隙度依赖性的解决，首先针对这种依赖性的常用幂律表达式，即E / E-0 =（1- P）（n），其中E是在任何体积分数孔隙率（P）和Eo处的利息是P = 0时E的值。通过PC归一化P，将感兴趣的特性固有地变为零时的P值，得出E / E-0 =（1 -P / PC）n显然引起人们注意PC值<1（例如，可能低至0.2）的重要性，这一事实早已为人所知，但却未被充分认识。由于随意使用n和Pc作为拟合参数，而对n和Pc（对微观结构敏感）对孔隙类型的依赖性几乎没有指导，这显示出严重的问题。此外，幂律模型的孔隙度归一化最多表明将不同孔隙度依赖性有限地压缩为单个通用孔隙度依赖性函数，并且几乎没有区分作为孔隙度函数的性质依赖性。但是，最小实体面积（MSA）模型的归一化孔隙率给出了一个通用的孔隙率依赖性。两种建模方法对P归一化的响应差异归因于它们分别基于很少或没有孔特征以及详细的孔特征。因此，P归一化可能是评估孔隙度模型的有价值的工具，但必须以更严格的方式应用，即PC主要是通过测量孔隙度类型和与孔隙度的相关性来确定的（如MSA模型），而不是作为任意拟合来确定的。幂律模型评估中使用的参数。 （C）2005年Springer Science + Business Media，Inc.

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