Fractal Analysis of Branched Structures on Fractured Surfaces of Crosslinked Polymers and Model Systems

本研究旨在探讨分形几何在 表征断裂表面上形成的裂纹图案， 交联的热固性聚合物。 断裂实验将是 在一系列良好表征的树脂上进行（范围从 橡胶状到脆性）和非牛顿流体的变化 粘度 然后将开发数值方法， 分析这些系统中的模式形成，以更好地理解 物理和化学过程，有助于 断裂行为 分形维数和其他尺度 表征几何和拓扑特征的指数 的树枝状裂缝将进行分析，以确定是否 在这些指数和材料之间存在关系 特性.

The research is to study the application of fractal geometry to characterize crack patterns formed on the fracture surfaces of cross-linked thermoset polymers. Fracture experiments will be performed on a series of well characterized resins (ranging from rubbery to brittle) and on non-Newtonian fluids of varying viscosity. Numerical methods will then be developed for analyzing pattern formation in these systems to better understand the physical and chemical processes which contribute to the fracture behavior. The fractal dimensions and other scaling exponents characterizing the geometrical and topological features of the tree-like cracks will be analyzed to determine whether there is a relationship between these exponents and the material properties.