TAILIEUCHUNG - Summary of doctoral thesis in Mechanical engineering and Engineering mechanics: An approach to approximate and fem-model the conductivity and elasticity of multicomponent material

Equivalent inclusion approach is then developed to account for possible diversions, such as non-idealistic geometric forms of the inhomogeneities, imperfect matrix-inclusion contacts, filler dispersions, and when the particular values of the fillers’ properties are unspecified, using available numerical or experimental reference conductivity data for particular composites. | 1 MINISTRY OF EDUCATION AND VIETNAM ACADEMY OF TRAINING SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY SCIENCE AND TECHNOLOGY - DO QUOC HOANG AN APPROACH TO APPROXIMATE AND FEM-MODEL THE CONDUCTIVITY AND ELASTICITY OF MULTI- COMPONENT MATERIAL Major Engineering mechanics Code 9 52 01 01 SUMMARY OF DOCTORAL THESIS IN MECHANICAL ENGINEERING AND ENGINEERING MECHANICS Hanoi 2019 2 The thesis has been completed at Graduate University Science and Technology Vietnam Academy of Science and Technology. Supervisors 1. Assoc. Prof. DrSc. Pham Duc Chinh 2. Assoc. Prof. Dr. Tran Anh Binh Reviewer 1 Reviewer 2 Reviewer 3 Thesis is defended at Graduate University Science and Technology-Vietnam Academy of Science and Technology at . on . Hardcopy of the thesis be found at - Library of Graduate University Science and Technology - Vietnam national library 3 INTRODUCTION 1. Relevance of the thesis topic Most effective medium approximations for isotropic inhomogeneous materials are based on dilute solutions of some typical inclusions in an infinite matrix medium while the simplest approximations are those for the composites with spherical and circular inclusions. Practical particulate composites often involve inhomogeneities of more complicated geometry than that of the spherical or circular one. In our approach those inhomogeneities are supposed to be substituted by simple equivalent spherical circular inclusions from a comparison of their respective dilute solution results. Then the available simple approximations for the equivalent spherical circular inclusion material can be used to estimate the effective conductivity of the original composite. Numerical illustrations of the approach are performed on some 2D and 3D geometries involving elliptical and ellipsoidal inclusions. 2. Thesis objective Develop near interaction approximations for the conductivity and elasticity of multi-component materials with spherical circular form inclusions. Equivalent inclusion approach is then developed

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