Phase‐field model for deposition of pyrolytic carbon

Abstract

SUMMARYA diffuse interface model for the determination of the evolution of the deposited substrate surface during isobaric, isothermal chemical vapour infiltration (CVI) of pyrolytic carbon is proposed. A continuous scalar phase-field parameter is introduced to label explicitly the solid and the gas phases within the system. Following the conceptual line of Ginzburg-Landau theory, we formulate the initial boundary value problem of CVI. In variance with the traditional formulations, we account for the different intensities of homogeneous and heterogeneous chemical reactions during CVI by introducing a scalar-valued intensity parameter that depends only on the phase-field. The various homogeneous and heterogeneous reaction processes during CVI are described in terms of a reduced chemical reaction scheme. Finally, we discuss the application of the developed methodology for numerical simulation of a simplified two-dimensional model problem. Using a finite element method, we obtain numerical approximations for the concentration profiles along the direction of infiltration.

Numerical Modeling Chemical Vapor Infiltration of SiC Composites

“…ere is still a challenge in the morphological study of the CVI process. In the our previous research [16,17], the phase �eld model has been successfully developed and applied in predicting the microstructure evolution during CVI process of C/C and SiC/SiC composites in two dimensions. Due to the codeposition of condensed solid phases -SiC(s) with Si(s) and/or C(graphite), a multiphase �eld model is formulated in this paper to model the CVI process of SiC �ber-reinforced SiC matrix composite (SiC/SiC).…”

Numerical modeling of carbon‐based material systems and related topics

“…The minisymposium attracted 28 participants from eight countries. Contributions included in this special issue either directly deal with manufacturing and performance of carbon-based composites or consider more general issues that are relevant not only to carbon-based composites but also to a wider class of heterogeneous materials.The first two papers [1,2] are concerned with numerical modeling of chemical vapor depositionthe leading technology for production of carbon-carbon composite materials. Both contributions explore the same kind of phase field methodology to solve the free boundary value problem of chemical deposition, but there are distinctive differences in the form of the local balance equations and in the discretization techniques employed.…”

“…The first two papers [1,2] are concerned with numerical modeling of chemical vapor depositionthe leading technology for production of carbon-carbon composite materials. Both contributions explore the same kind of phase field methodology to solve the free boundary value problem of chemical deposition, but there are distinctive differences in the form of the local balance equations and in the discretization techniques employed.…”