Bieniek, Kamil

Kowalczyk-Gajewska, Katarzyna

Scipedia

8th ECCOMAS Thematic Conference on the Mechanical Response of Composites: COMPOSITES 2021  OPTIMIZATION OF THERMOELASTIC TWO-PHASE COMPOSITES USING ANALYTICAL AND NUMERICAL HOMOGENIZATION Kamil Bieniek​1​*​, Katarzyna Kowalczyk-Gajewska​1 1​Mechanics of Materials, Institute of Fundamental Technological Research, Poland * kbieniek@ippt.pan.pl  The aim of the presented study is to develop efficient and reliable procedures for finding the                optimal microstructures in view of the potential applications of composite materials in            structural elements.  Proper estimation of the overall properties of heterogeneous materials using micromechanical           analysis is a problem that has been studied for a long time. Nowadays, multiple              micromechanical models exist, most of them basing on the Eshelby solution. Eshelby's            problem assumes a single ellipsoidal inclusion in an infinite elastic medium, being subject to              a homogenous external load located at the infinity. Among mean-field models originating            from this fundamental solution, the Mori-Tanaka method is most widely used for composite             materials. In this model, the medium material is the matrix material, while the far-field              quantities are replaced by the average fields in the matrix phase. Unfortunately, the above              mentioned classical models fail to describe properly the scale effects related to the inclusion              size as well as their space distribution within the sample. A cluster model proposed by               Molinari and El Mouden [1996,2000] for the assessment of elastic and thermal properties was              the solution for the problem. In the cluster model an elementary cubic volume containing              finite number of N inclusions is created which is then periodically reproduced to fill the               desired space This analytical model provides a way for finding optimal microstructures            regarding the desired characteristics (like e.g. strength, weight or thermal insulation).  Based on the above mentioned solutions, the presented work aims to create virtual             representative unit cells - elementary cubic volumes of materials that allow both regular and              random spatial distribution of non-overlapping inclusions in a matrix. Such sample cells are             next subject to computational homogenization using the Finite Elements Method software in            order to calculate global outcome values. Analyses of series of different samples allow to              obtain the overall strain-stress relationship which can be a base for determination of the              average macroscale parameters of the entire composite material.  Results from the FEM are then compared with the cluster model predictions for validation              purposes. In the future, it is planned to also validate the theoretical results with tests on                physical samples created using 3D-printing techniques.  This process may provide a tool for optimization. Different engineering tasks may require             balance between different parameters of materials, e.g. high stiffness, low thermal expansion            and proper thermal conductivity while staying below weight limits. Efficient procedures for            finding the optimal microstructures may help in creating quick and cost-effective design tools.  The research was partially supported by the project of the National Science Center (NCN)              Poland 2016/23/B/ST8/03418. 

Optimization of Thermoelastic Two-Phase Composites Using Analytical and Numerical Homogenization

https://www.scipedia.com/wd/images/3/30/Draft_Content_778841160a11.pdf

Optimization of Thermoelastic Two-Phase Composites Using Analytical and Numerical Homogenization

Abstract

Similar works

Full text

Available Versions

Scipedia