Prediction of properties of Al2O3-C refractory based on microstructure by an improved generalized self-consistent scheme

Abstract

An improved generalized self-consistent scheme (GSCS), which has a simplified computation process, was proposed to predict the properties, based on microstructure, of multiphase materials. The results of the prediction of the elastic modulus, Poisson's ratio, coefficient of thermal expansion, and coefficient of thermal conductivity of an Al 2 O 3 -C refractory using a multiscale homogenization method with this improved GSCS agree with the experimental results. It is found that understanding the microstructure and choosing a suitable matrix for the prediction are very important for prediction accuracy.

Innovative Method on Simulating the Damage Mechanism of the Refractory

“…10) Consider an N-phase composite in which the matrix is denoted by the index r = 1, and the inclusion phases by r = 2, 3, … , N. The present work deals in particular with composites in which the inclusion phase consists either of spherical particles or aligned cylindrical fibers with a circular cross section. (1) where Ui is the displacement field, S is the boundary of the composite materials aggregate, is the constraints strain tensor, xj is the Cartesian coordinate system.…”

Prediction of Properties of MgO-C Refractory Based on Micromechanics Model

“…where r C is the volume fraction of the "r" phase, r ii  and r 12  the average strains in the inclusion under the prescribed condition (1). They are evaluated by considering a composite sphere made up of a single particle (radius a ) suurounded by a matrix shell (thickness a b  ) and embedded in an infinite medium with unknown effective elastic properties.…”

“…The factors A,B,D of the Eq. 5 can be found in [1]. Clearly, for the two-phase composite materials, we can use GSCM to calculate the othe one's properties as long as we know two kinds of material's properties in the aggregate, matrix and the effective medium.…”

“…From the microstructure of materials, it can construct the quantitative relationship among the local properties, sizes and spatial distributions of materials composition and macro-effective properties using the elasticity theory, which reveals the inner relations between the microstructure of materials and macro properties. We have used micro-mechanics to study the relationship between microstructure and macro properties for Al 2 O 3 -C refractories and made some satisfactory results [1].…”

Micromechanics Analysis of Elastic Modulus of Alumina-Carbon Refractories

“…Methods to discrete microstructure by micromechanics mainly include Eshelby equivalent inclusions theory, self-consistent theory, Mori-Tanaka method, differential method, variation principle to calculate the upper and lower value, and computational micromechanics [1][2][3][4][5][6]. At present, Schmitt N, zhigang wang and Hunger M applied the theory of generalized self-consistent to simulate and analyze the damage of refractories [7][8][9][10]; Lu Chao calculated the equivalent modulus of elasticity of Al 2 O 3 -C refractories by Mori-Tanaka [11]. The stress-strain of materials is greatly influenced by the micro defects, and the modulus of elasticity basically only influenced by porosity.…”