Effective Properties of Textile Composites: Application of the Mori-Tanaka Method

Evaluation of homogenized thermal conductivities of imperfect carbon-carbon textile composites using the Mori-Tanaka method

Three-scale homogenization procedure is proposed in this paper to provide estimates of the effective thermal conductivities of porous carbon-carbon textile composites. On each scale - the level of fiber tow (micro-scale), the level of yarns (meso-scale) and the level of laminate (macro-scale) - a two step homogenization procedure based on the Mori-Tanaka averaging scheme is adopted. This involves evaluation of the effective properties first in the absence of pores. In the next step, an ellipsoidal pore is introduced into a new, generally orthotropic, matrix to make provision for the presence o…

Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials

The purpose of this paper is to present a simple micromechanics-based model to estimate the effective thermal conductivity of real-world macroscopically isotropic materials of matrix-inclusion type. The methodology is based on the well-established Mori-Tanaka method for composite media reinforced with ellipsoidal inclusions, extended to account for imperfect thermal contact at the matrix-inclusion interface, random orientation of particles and particle size distribution. Using simple ensemble averaging arguments, we show that the original Mori-Tanaka relations are still applicable for these co…

基于修正切线线性化的弹-粘塑性复合材料加性Mori-Tanaka方法

An additive Mori-Tanaka scheme for elastic-viscoplastic composites based on a modified tangent linearization

本文针对弹-粘塑性复合材料平均场建模中的长期记忆效应问题，在加性Mori-Tanaka模型中引入应力二阶矩，提出修正切线线性化方法，并通过基准测试验证其在单调和非单调加载下均具有良好性能。

Homogenization of plain weave composites with imperfect microstructure: Part II--Analysis of real-world materials

A two-layer statistically equivalent periodic unit cell is offered to predict a macroscopic response of plain weave multilayer carbon-carbon textile composites. Falling-short in describing the most typical geometrical imperfections of these material systems the original formulation presented in (Zeman and Šejnoha, International Journal of Solids and Structures, 41 (2004), pp. 6549--6571) is substantially modified, now allowing for nesting and mutual shift of individual layers of textile fabric in all three directions. Yet, the most valuable asset of the present formulation is seen in the possi…

弹塑性颗粒复合材料中形状与堆积效应的微观力学与数值分析

Micromechanical and numerical analysis of shape and packing effects in elastic-plastic particulate composites

本研究探讨了颗粒形状与堆积对复合材料宏观行为的影响，通过引入Replacement Mori-Tanaka Model修正Morphologically Representative Pattern方案，并结合增量线性化扩展至弹塑性区域，为计算均匀化提供了有效的替代方法。

Influence of the formation of clusters on the effective elastic properties of platelet reinforced polymers

The effect of the clusterization on the effective properties of a composite material reinforced by MXene or graphene platelets is studied using the finite element method with periodic representative volume element (RVE). A hybrid 2D/3D finite element mesh is used to reduce the computational complexity of the numerical model. Several realizations of an RVE were generated with increasing volume fractions of inclusions, resulting in progressive clusterization of the platelets. Numerically obtained effective properties of the composite are compared with analytical predictions by the Mori-Tanaka me…