Title |
Evaluation of RVE Suitability Based on Exponential Curve Fitting of a Probability Distribution Function |
Keywords |
two-phase materials;probability distribution functions;curve fitting;exponential function;virtual material samples;2상 재료;확률 분포 함수;곡선 접합;지수 함수;가상 재료 시편 |
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). |