[SY-G4] Potential of lineal-path function as a characterization parameter related to material properties
The hydrated cement paste has complex microstructures. The pore and solid phase distribution characteristics within microstructures affect the material responses significantly. Material microstructure and its responses have been correlated with porosity [1]. However, porosity might not be sufficient to describe the complex microstructures. In this study, the relation between microstructure characteristics and material properties is investigated using a statistical method. To extract the microstructural characteristics of cement paste, micro-CT images are used. Pore and solid phase are separated from micro-CT images using the Powers’ model. A lineal-path function [2], one of the low-order probability functions, is selected for estimating the microstructure characteristics. Particularly, the area of lineal-path function [3] is used as a quantitative parameter related to the material property in this study. Virtual specimens obtained from synchrotron micro-CT are used to evaluate material mechanical properties. The phase field fracture model is applied to evaluate stiffness and strength of cement paste with complex microstructures. From this study, it is concluded that the area of lineal-path function has a potential to be an alternative parameter for correlating material characteristics and properties.
[1] C. Miehe, M. Hofacker, F. Welschinger, A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Comput. Meth. Appl. Mech. Eng. 199 (2010) 2765-2778.
[2] B. Lu, S. Torquato, Lineal-path function for random heterogeneous materials, Phys. Rev. A 45 (1992) 922-929.
[3] T. S. Han, X. Zhang, J. S. Kim, S. Y. Chung, J. H. Lim, C. Linder, Area of lineal-path function for describing the pore microstructures of cement paste and their relations to the mechanical properties simulated from μ-CT microstructures. Cem. Concr. Compos. 89 (2018) 1-17.
[1] C. Miehe, M. Hofacker, F. Welschinger, A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Comput. Meth. Appl. Mech. Eng. 199 (2010) 2765-2778.
[2] B. Lu, S. Torquato, Lineal-path function for random heterogeneous materials, Phys. Rev. A 45 (1992) 922-929.
[3] T. S. Han, X. Zhang, J. S. Kim, S. Y. Chung, J. H. Lim, C. Linder, Area of lineal-path function for describing the pore microstructures of cement paste and their relations to the mechanical properties simulated from μ-CT microstructures. Cem. Concr. Compos. 89 (2018) 1-17.