Sintering Model of Ceramics for Deformation and Stress Considering Internal Temperature Distribution
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In this study, a thermal—structural coupling simulation using finite element method (FEM) is performed for sintering ceramics. Our model enables proper evaluation of non-uniform deformation and stress by considering internal temperature distribution. This is achieved by including following features in our model; (a) decomposing total deformation into thermal and mechanical component in order to describe stress and deformation induced by stress, (b) describing deformation and stress due to arbitrary temperature histories with a single set of model parameters, and (c) formulating based on finite deformation theory considering large strains of about 20 %. Following the current elasto—plastic formulation, total deformation gradient is multiplicatively decomposed into four components; thermal and mechanical components, and each further decomposed into reversible and irreversible components. For thermal irreversible deformation, Master Sintering Curve is employed, which can describe deformation behavior with a single set of model parameters independent on the temperature history. The sintering simulation is developed in the thermal—structural coupling simulation of commercial FEM software, ANSYS2023R2. Our model is implemented using User Programmable Features (UPFs).