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http://dx.doi.org/10.12652/Ksce.2010.30.5A.425

Evaluation of RVE Suitability Based on Exponential Curve Fitting of a Probability Distribution Function  

Chung, Sang-Yeop (연세대학교 토목환경공학과)
Yun, Tae Sup (연세대학교 토목환경공학과)
Han, Tong-Seok (연세대학교 토목환경공학과)
Publication Information
KSCE Journal of Civil and Environmental Engineering Research / v.30, no.5A, 2010 , pp. 425-431 More about this Journal
Abstract
The phase distribution in a multi-phase material strongly affects its material properties. Therefore, a proper method to describe the phase distribution of a material is needed. In this research, probability distribution functions, two-point correlation and lineal-path functions, are used to represent the probabilistic phase distributions of a material. The probability distribution function is calculated using a numerical method and is described as an analytical form via exponential curve fitting with three parameters. Application of analytical form of probability distribution function is investigated using two-phase polycrystalline solids and soil samples. It is confirmed that the probability distribution functions can be represented as an exponential form using curve fitting which helps identifying the applicability of a representative volume element(RVE).
Keywords
two-phase materials; probability distribution functions; curve fitting; exponential function; virtual material samples;
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