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Construction of bounds on the elastic moduli of isotropic multicomponent materials which involve three-point correlation parameters. We use numerical methods to study several representative material models. Construction of three-point correlation bounds on the effective elastic shear modulus of composite materials and applications of the bounds are given to some composites. | VIETNAM ACADEMY OF SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY ----o0o----- VU LAM DONG ESTIMATION AND COMPUTATIONAL SIMULATION FOR THE EFFECTIVE ELASTIC MODULI OF MULTICOMPONENT MATERIALS Major Engineering Mechanics Code 62 52 01 01 SUMMARY OF PhD THESIS Hanoi - 2016 The thesis has been completed at Vietnam Academy of Science and Technology Graduate University of Science and Technology Supervisors Assoc. Prof. Dr.Sc. Pham Duc Chinh Reviewer 1 Reviewer 2 Reviewer 3 Thesis is defended at on Date Month Year 2016 Hardcopy of the thesis can be found at 1 INTRODUCTION Homogenization for composite material properties has made great progress in scientific research. The construction of the material models was made very early and from the basic ones. The macroscopic properties of materials depend on many factors such as the nature of the material components volume ratio of components contact between elements geometrical characteristics . Therefore the thesis is done with the purpose of building evaluations for macroscopic elastic moduli of isotropic multicomponent materials which yield results better than the previous ones. Topicality and significance of the thesis Multicomponent materials also known as composite materials are used widely life today. We may see composite materials that will be the key ones in the future because of flexibility and multipurpose material however the identification of macroscopic materials is not easy because we often have only limited information about the structure of the composites. The objective of the thesis Construction of bounds on the elastic moduli of isotropic multicomponent materials which involve three-point correlation parameters. We use numerical methods to study several representative material .
