Image-Based Numerical Modeling of Self-Healing in a Ceramic-Matrix Minicomposite

Abstract

Self-healing, obtained by the oxidation of a glass-forming phase, is a crucial phenomenon to ensure the lifetime of new-generation refractory ceramic-matrix composites. The dynamics of oxygen diffusion, glass formation and flow are the basic ingredients of a self-healing model that has been developed here in 2D in a transverse crack of a mini-composite. The presented model can work on a realistic image of the material section and is able to simulate the healing process and to quantify the exposure of the material to oxygen: a prerequisite for its lifetime prediction. Crack reopening events are handled satisfactorily, and healing under cyclic loading can be simulated. This paper describes and discusses a typical case in order to show the model capabilities.

A review of some of experimental and numerical studies of self‐crack‐healing in ceramics

“…114 Perrot et al proposed a numerical model that depends on an image of the cross-section of the material or on virtual meshes to simulate the self-healing process; in their model, they featured the oxidation kinetics and the flow of the glassy liquid oxide. 115 Doquet et al used a finite element model to simulate the crack healing in a nuclear glass/inactive borosilicate glass; they reported the closure of the induced cracks through the annealing process in an ESEM at a temperature of 400°C. 116 Fei Liu et al reported a high-temperature healing capability of SiCBN through the oxidation process of the ceramic derived from hyperbranched polyborosilazanes at conditions of 1000°C in an air environment as a result of the high content of boron and silicon in the ceramic.…”

“…Yoshitomo et al used a framework of FEM to simulate the crack generation and crack propagation of self‐healing fiber‐reinforced ceramic (shFRC) with high‐temperature oxidation as a main mechanism to heal the crack 114 . Perrot et al proposed a numerical model that depends on an image of the cross‐section of the material or on virtual meshes to simulate the self‐healing process; in their model, they featured the oxidation kinetics and the flow of the glassy liquid oxide 115 . Doquet et al used a finite element model to simulate the crack healing in a nuclear glass/inactive borosilicate glass; they reported the closure of the induced cracks through the annealing process in an ESEM at a temperature of 400°C 116 …”

A 2D image-based multiphysics model for lifetime evaluation and failure scenario analysis of self-healing ceramic-matrix mini-composites under a tensile load

“…This has the benefit of allowing to solve the problem with some analytical or semi-analytical technique, but some information about the complete process is lost. To mitigate this loss, the work [24] described the self-healing process in a crack, focusing on the description of the oxide spreading but requiring an onerous computational time. The work described in this paper aims at making the multi-dimensional multi-physics model as tractable as possible.…”

A time-dependent tensile constitutive model for long-fiber-reinforced unidirectional ceramic-matrix minicomposites considering interface and fiber oxidation

“…The tensile stress–strain behavior reflects the strength of the composite material to resist the damage of external tensile loading. The tensile properties (i.e., proportional limit stress, matrix crack spacing, tensile strength, and fracture strain) can be obtained from the tensile stress–strain curves and can be used for component design (Li et al., 2019; Maillet et al., 2019; Perrot et al., 2019). Jia et al.…”