3D Reconstruction of Carbon Nanotube Composite Using Statistical Correlation Functions

Authors

Abstract

Microstructure reconstruction from statistical microstructure descriptors is a strong field of interest for researchers worldwide, due to its importance in material design. A new methodology is presented in this paper to reconstruct microstructure with a large number of representative volume elements. The proposed methodology provides a stable input for a deterministic method which can be used to simulate performance and effective properties. The Monte Carlo technique is used as the basis of the reconstruction methodology in this work. In this paper statistical correlation functions are extracted from the images of the experimental samples. The proposed algorithm reconstructs new samples which has similar statistical correlation functions in comparison to the experimental samples. The information of the geometric distribution of the nanotubes of the composites is stored in a database of the node locations of the unit cylinder segments and the corresponding waviness, Instead of using a discrete image matrix. These node locations are attractive results which can be utilized in the simulation software in order to obtain the properties of the studied composite. In this way, robust microstructures with a large number of representative volume elements were reconstructed for the future evaluation.

Keywords

Main Subjects


[1] Lin S, Garmestani H (2000) Statistical continuum mechanics analysis of an elastic two-isotropic-phase composite material.  Compos Part B-Eng 31(1): 39-46.
[2] Garmestani H, Lin S, Adams BL, Ahzi S (2001) Statistical continuum theory for large plastic deformation of polycrystalline materials. J Mech Phys Solids 49(3): 589-607.
[3] Garmestani H, Lin S, Adams BL (1998) Statistical continuum theory for inelastic behavior of a two-phase medium. Int J Plasticity 14(8): 719-731.
[4] Lin S, Garmestani H, Adams B (2000) The evolution of probability functions in an inelasticly deforming two-phase medium.  Int J Solids Struct 37: 423-434.
[5] Yeong C, Torquato S (1998) Reconstructing random media. Phys Rev E vol. 57(1): 495.
[6] Torquato S (2002) Random heterogeneous materials microstructure and macroscopic properties. Springer Science & Business Media. (v. 16)
[7] St-Pierre L, Héripré E, Dexet M, Crépin J, Bertolino G, Bilger N (2008) 3D simulations of microstructure and comparison with experimental microstructure coming from O.I.M analysis. Int J Plasticity 24: 1516-1532.
[8] Suzue Y, Shikazono N, Kasagi N (2008) Micro modeling of solid oxide fuel cell anode based on stochastic reconstruction.  J Power Sources 184(1): 52-59.
[9] Fullwood DT, Niezgoda SR, Kalidindi SR (2008) Microstructure reconstructions from 2-point statistics using phase-recovery algorithms. Acta Mat 56: 942-948.
[10] Li D, Baniassadi M, Garmestani H, Ahzi S, Reda Taha M, Ruch D (2010) 3D reconstruction of carbon nanotube composite microstructure using correlation functions. Com Theo Nanoscience 7: 1462-1468.
[11] Ounaies Z, Park C, Wise KE, Siochi EJ, Harrison JS (2003) Electrical properties of single wall carbon nanotube reinforced polyimide composites. Com Sci Tech 63: 1637-1646.
[12] Marsaglia G (1972) Choosing a point from the surface of a sphere. Ann Math Statist 43(2): 645-646.
[13] Néda Z, Florian R, Brechet Y (1999) Reconsideration of continuum percolation of isotropically oriented sticks in three dimensions. Physical Rev 59: 3717-3719.