Abstract

ABSTRACT Self-healing materials have been recognized as a promising type of next-generation materials. Among them, self-healing ceramics play a particularly important role, and understanding them better is necessary. Therefore, in this study, we applied the oxidation kinetics-based constitutive model to finite element analysis of a series of damage-healing processes in self-healing ceramics (alumina/SiC composites). In the finite element analysis, the data on the microstructure distribution, such as relative density, size and aspect ratio of pores, and grain size, were taken as input values and reflected onto the parameters of a continuum damage model using a fracture mechanical model. We then performed a 3-point bending analysis, to consider both the self-healing effect under certain temperature and oxygen partial pressure conditions and scatter of the strength of the ceramics. Our results confirmed that the proposed methodology can reasonably reproduce both strength recovery and damage propagation behavior in self-healing ceramics.

Highlights

  • Self-healing materials are considered as an important part of next-generation structural designs

  • We propose a finite element analysis (FEA) method for fracture statistics of self-healing ceramics by combining a numerical simulation of the damage-healing process with the prediction method of scatter of ceramic strength proposed by the authors [36,37]

  • In the formulation, the damage process is described by the cohesive-force embedded isotropic damage model [36,37,38,39], and the self-healing process is prescribed by the evolution laws based on the empirical oxidation kinetics equation [15]

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Summary

Introduction

Self-healing materials are considered as an important part of next-generation structural designs. To apply the self-healing materials to various components of machines and structures, a novel numerical simulation method should be developed for evaluating both the damage and the healing processes. We propose a finite element analysis (FEA) method for fracture statistics of self-healing ceramics by combining a numerical simulation of the damage-healing process with the prediction method of scatter of ceramic strength proposed by the authors [36,37]. (2) Analyzing fracture statistics for crack-healed ceramics and discussing the strength scatter before and after healing using the Weibull dis­ tribution generated by FEA In addition to this examination, a qualitative com­ parison of the experimental results [15] was per­ formed to demonstrate the effectiveness of the method used for the analyses of fracture statistics of self-healing ceramics.

Constitutive model
Damage model
Evolution laws for state variables
Response characteristics of the damage-healing constitutive model
Stochastic distribution of fracture parameters
Fracture mechanics model
Probability density functions for microstructure data
Aspect ratio of pore A
Finite element model and analysis conditions
FE model and boundary conditions
Input parameters
Results from non-damaged specimens
Results from as-cracked and crack-healed specimens
Comparison with experimental results
Conclusions
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