论文标题
代表性的基本音量通过平均标量Minkowski功能
Representative elementary volume via averaged scalar Minkowski functionals
论文作者
论文摘要
代表性基本体积（REV），材料属性不随着体积的变化而变化是制作代表整体的测量或模拟的重要数量。我们讨论了基于凸线几何形状的Steiner公式中的数量评估Rev的几何方法。对于三个空间中的身体，该公式为我们提供了四个名为标量Minkowski功能的标量功能。我们在某些样本上证明了这种平均功能的值几乎可以稳定边缘长度大于某些阈值的单元。因此，从这个角度来看，可以将体积r^3的立方作为代表性基本体积合理。
Representative Elementary Volume (REV) at which the material properties do not vary with change in volume is an important quantity for making measurements or simulations which represent the whole. We discuss the geometrical method to evaluation of REV based on the quantities coming in the Steiner formula from convex geometry. For bodies in the three-space this formula gives us four scalar functionals known as scalar Minkowski functionals. We demonstrate on certain samples that the values of such averaged functionals almost stabilize for cells for which the length of edges are greater than certain threshold value R. Therefore, from this point of view, it is reasonable to consider cubes of volume R^3 as representative elementary volumes.
